%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG129+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 18:29:46 EDT 2022 % Result : Theorem 40.15s 40.35s % Output : Proof 40.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ALG129+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n022.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 9 04:58:04 EDT 2022 % 0.12/0.33 % CPUTime : % 40.15/40.35 (* PROOF-FOUND *) % 40.15/40.35 % SZS status Theorem % 40.15/40.35 (* BEGIN-PROOF *) % 40.15/40.35 % SZS output start Proof % 40.15/40.35 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))))))))))))))))))))))))))). % 40.15/40.35 Proof. % 40.15/40.35 assert (zenon_L1_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H12. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16. % 40.15/40.35 exact (zenon_H16 zenon_H14). % 40.15/40.35 (* end of lemma zenon_L1_ *) % 40.15/40.35 assert (zenon_L2_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H17. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H14. zenon_intro zenon_H18. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H16. zenon_intro zenon_H19. % 40.15/40.35 exact (zenon_H16 zenon_H14). % 40.15/40.35 (* end of lemma zenon_L2_ *) % 40.15/40.35 assert (zenon_L3_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H1a. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H14. zenon_intro zenon_H1b. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H16. zenon_intro zenon_H1c. % 40.15/40.35 exact (zenon_H16 zenon_H14). % 40.15/40.35 (* end of lemma zenon_L3_ *) % 40.15/40.35 assert (zenon_L4_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H1d. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H14. zenon_intro zenon_H1e. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H16. zenon_intro zenon_H1f. % 40.15/40.35 exact (zenon_H16 zenon_H14). % 40.15/40.35 (* end of lemma zenon_L4_ *) % 40.15/40.35 assert (zenon_L5_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H20. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25. % 40.15/40.35 exact (zenon_H25 zenon_H22). % 40.15/40.35 (* end of lemma zenon_L5_ *) % 40.15/40.35 assert (zenon_L6_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H27. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H22. zenon_intro zenon_H28. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H24. zenon_intro zenon_H29. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 40.15/40.35 exact (zenon_H2a zenon_H2b). % 40.15/40.35 (* end of lemma zenon_L6_ *) % 40.15/40.35 assert (zenon_L7_ : (~((op2 (e22) (e22)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H2c zenon_H2d zenon_H2e. % 40.15/40.35 cut (((op2 (e22) (e22)) = (e21)) = ((op2 (e22) (e22)) = (op2 (e20) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H2c. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H2d. % 40.15/40.35 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 apply zenon_H2f. apply sym_equal. exact zenon_H2e. % 40.15/40.35 (* end of lemma zenon_L7_ *) % 40.15/40.35 assert (zenon_L8_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H31 zenon_H22 zenon_H2e zenon_H2d zenon_H32. % 40.15/40.35 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H31. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H22. % 40.15/40.35 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 40.15/40.35 cut (((op2 (e20) (e21)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H30 ]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e21)) = (op2 (e22) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H34. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H35. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2c]. % 40.15/40.35 congruence. % 40.15/40.35 apply (zenon_L7_); trivial. % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 apply zenon_H33. apply sym_equal. exact zenon_H32. % 40.15/40.35 (* end of lemma zenon_L8_ *) % 40.15/40.35 assert (zenon_L9_ : (~((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H36 zenon_H37. % 40.15/40.35 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 40.15/40.35 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.15/40.35 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.15/40.35 (* end of lemma zenon_L9_ *) % 40.15/40.35 assert (zenon_L10_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H39 zenon_H3a zenon_H3b zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H39. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H3c. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3d. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H3f zenon_H3b). % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 (* end of lemma zenon_L10_ *) % 40.15/40.35 assert (zenon_L11_ : (~((e20) = (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H40. % 40.15/40.35 apply zenon_H40. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L11_ *) % 40.15/40.35 assert (zenon_L12_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H41 zenon_H37. % 40.15/40.35 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.15/40.35 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.15/40.35 apply zenon_H40. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L12_ *) % 40.15/40.35 assert (zenon_L13_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e22)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H42 zenon_H43 zenon_H37 zenon_H44. % 40.15/40.35 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H44. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3d. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H45. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.35 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e22) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H46. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3d. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H47 zenon_H43). % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply (zenon_L12_); trivial. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L13_ *) % 40.15/40.35 assert (zenon_L14_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H48 zenon_H49 zenon_H4a. % 40.15/40.35 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H48. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H49. % 40.15/40.35 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 apply zenon_H4b. apply sym_equal. exact zenon_H4a. % 40.15/40.35 (* end of lemma zenon_L14_ *) % 40.15/40.35 assert (zenon_L15_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e23) (e21)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H4d zenon_H3a zenon_H4e zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H4d. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H4f. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H50. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H52 zenon_H4e). % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 (* end of lemma zenon_L15_ *) % 40.15/40.35 assert (zenon_L16_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H42 zenon_H53 zenon_H37 zenon_H48. % 40.15/40.35 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H48. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H50. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e21)) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H54. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.35 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H55. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H50. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H56 zenon_H53). % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply (zenon_L12_); trivial. % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L16_ *) % 40.15/40.35 assert (zenon_L17_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H57 zenon_H58 zenon_H59. % 40.15/40.35 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H59. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3d. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H5a. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H57. % 40.15/40.35 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply zenon_H5b. apply sym_equal. exact zenon_H58. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 apply zenon_H3e. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L17_ *) % 40.15/40.35 assert (zenon_L18_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H5c zenon_H49 zenon_H3a zenon_H4d zenon_H48 zenon_H37 zenon_H42 zenon_H57 zenon_H59. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H4a | zenon_intro zenon_H5d ]. % 40.15/40.35 apply (zenon_L14_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4e | zenon_intro zenon_H5e ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H53 | zenon_intro zenon_H58 ]. % 40.15/40.35 apply (zenon_L16_); trivial. % 40.15/40.35 apply (zenon_L17_); trivial. % 40.15/40.35 (* end of lemma zenon_L18_ *) % 40.15/40.35 assert (zenon_L19_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H5f zenon_H2d zenon_H2e zenon_H22 zenon_H31 zenon_H39 zenon_H44 zenon_H5c zenon_H49 zenon_H3a zenon_H4d zenon_H48 zenon_H37 zenon_H42 zenon_H59. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.15/40.35 apply (zenon_L8_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.15/40.35 apply (zenon_L13_); trivial. % 40.15/40.35 apply (zenon_L18_); trivial. % 40.15/40.35 (* end of lemma zenon_L19_ *) % 40.15/40.35 assert (zenon_L20_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H62 zenon_H22 zenon_H4a. % 40.15/40.35 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H62. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H22. % 40.15/40.35 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 40.15/40.35 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H63. apply refl_equal. % 40.15/40.35 apply zenon_H4b. apply sym_equal. exact zenon_H4a. % 40.15/40.35 (* end of lemma zenon_L20_ *) % 40.15/40.35 assert (zenon_L21_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H64 zenon_H3a zenon_H65 zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H64. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H67 | zenon_intro zenon_H4c ]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H66. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H67. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H68]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H68 zenon_H65). % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 (* end of lemma zenon_L21_ *) % 40.15/40.35 assert (zenon_L22_ : (~((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e22)) = (e21)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H69 zenon_H6a zenon_H37 zenon_H2d. % 40.15/40.35 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e22) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H69. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H6a. % 40.15/40.35 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 40.15/40.35 cut (((op2 (e23) (e23)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e23) (e23)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H6c. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H6d. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 congruence. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 apply zenon_H6e. apply refl_equal. % 40.15/40.35 apply zenon_H6e. apply refl_equal. % 40.15/40.35 apply zenon_H6b. apply sym_equal. exact zenon_H2d. % 40.15/40.35 (* end of lemma zenon_L22_ *) % 40.15/40.35 assert (zenon_L23_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H6f zenon_H3a zenon_H70 zenon_H6a zenon_H2d zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H6f. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 40.15/40.35 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e21) = (op2 (e20) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H71. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H72. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H74 zenon_H70). % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 apply (zenon_L22_); trivial. % 40.15/40.35 (* end of lemma zenon_L23_ *) % 40.15/40.35 assert (zenon_L24_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H6f zenon_H3a zenon_H70 zenon_H2d zenon_H37. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.35 apply (zenon_L21_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_L23_); trivial. % 40.15/40.35 (* end of lemma zenon_L24_ *) % 40.15/40.35 assert (zenon_L25_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H78 zenon_H3a zenon_H79 zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H78. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 40.15/40.35 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H7a. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H7b. % 40.15/40.35 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 40.15/40.35 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H7d]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H7d zenon_H79). % 40.15/40.35 apply zenon_H7c. apply refl_equal. % 40.15/40.35 apply zenon_H7c. apply refl_equal. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 (* end of lemma zenon_L25_ *) % 40.15/40.35 assert (zenon_L26_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H37 zenon_H7e zenon_H7f. % 40.15/40.35 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H67 | zenon_intro zenon_H4c ]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H7f. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H67. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H80]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H80. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H37. % 40.15/40.35 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 40.15/40.35 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H67 | zenon_intro zenon_H4c ]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e23) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H82. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H67. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H83 zenon_H7e). % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 apply zenon_H81. apply refl_equal. % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 apply zenon_H4c. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L26_ *) % 40.15/40.35 assert (zenon_L27_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))) -> (~((op2 (e22) (e21)) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H84 zenon_H85 zenon_H2d. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 40.15/40.35 exact (zenon_H95 zenon_H2d). % 40.15/40.35 exact (zenon_H85 zenon_H94). % 40.15/40.35 (* end of lemma zenon_L27_ *) % 40.15/40.35 assert (zenon_L28_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H96 zenon_H42 zenon_H97 zenon_H37. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H96. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.35 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ]. % 40.15/40.35 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H98. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H99. % 40.15/40.35 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 40.15/40.35 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H9b zenon_H97). % 40.15/40.35 apply zenon_H9a. apply refl_equal. % 40.15/40.35 apply zenon_H9a. apply refl_equal. % 40.15/40.35 apply (zenon_L12_); trivial. % 40.15/40.35 (* end of lemma zenon_L28_ *) % 40.15/40.35 assert (zenon_L29_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H9c zenon_H42 zenon_H9d zenon_H37. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H9c. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.35 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ]. % 40.15/40.35 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H9e. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H9f. % 40.15/40.35 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 40.15/40.35 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Ha1 zenon_H9d). % 40.15/40.35 apply zenon_Ha0. apply refl_equal. % 40.15/40.35 apply zenon_Ha0. apply refl_equal. % 40.15/40.35 apply (zenon_L12_); trivial. % 40.15/40.35 (* end of lemma zenon_L29_ *) % 40.15/40.35 assert (zenon_L30_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 40.15/40.35 do 0 intro. intros zenon_Ha2 zenon_Ha3 zenon_H32. % 40.15/40.35 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Ha2. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Ha3. % 40.15/40.35 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 apply zenon_H33. apply sym_equal. exact zenon_H32. % 40.15/40.35 (* end of lemma zenon_L30_ *) % 40.15/40.35 assert (zenon_L31_ : (~((e23) = (e23))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Ha4. % 40.15/40.35 apply zenon_Ha4. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L31_ *) % 40.15/40.35 assert (zenon_L32_ : (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 40.15/40.35 do 0 intro. intros zenon_Ha5 zenon_H57 zenon_H32. % 40.15/40.35 cut (((op2 (e23) (e22)) = (e23)) = ((e20) = (e23))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Ha5. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H57. % 40.15/40.35 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.35 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Ha6 zenon_H32). % 40.15/40.35 apply zenon_Ha4. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L32_ *) % 40.15/40.35 assert (zenon_L33_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e23)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Ha7 zenon_H3a zenon_Ha8 zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Ha7. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ]. % 40.15/40.35 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Ha9. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Haa. % 40.15/40.35 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 40.15/40.35 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Hac zenon_Ha8). % 40.15/40.35 apply zenon_Hab. apply refl_equal. % 40.15/40.35 apply zenon_Hab. apply refl_equal. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 (* end of lemma zenon_L33_ *) % 40.15/40.35 assert (zenon_L34_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e22) (e23)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Had zenon_H3a zenon_Hae zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Had. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.35 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ]. % 40.15/40.35 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Haf. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hb0. % 40.15/40.35 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 40.15/40.35 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Hb2 zenon_Hae). % 40.15/40.35 apply zenon_Hb1. apply refl_equal. % 40.15/40.35 apply zenon_Hb1. apply refl_equal. % 40.15/40.35 apply (zenon_L9_); trivial. % 40.15/40.35 (* end of lemma zenon_L34_ *) % 40.15/40.35 assert (zenon_L35_ : ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e21)) -> (~((e20) = (e21))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hb3 zenon_H6a zenon_Hb4. % 40.15/40.35 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ]. % 40.15/40.35 cut (((e21) = (e21)) = ((e20) = (e21))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hb4. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hb5. % 40.15/40.35 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 40.15/40.35 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((op2 (e23) (e23)) = (e20)) = ((e21) = (e20))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hb7. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hb3. % 40.15/40.35 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.15/40.35 cut (((op2 (e23) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Hb8 zenon_H6a). % 40.15/40.35 apply zenon_H40. apply refl_equal. % 40.15/40.35 apply zenon_Hb6. apply refl_equal. % 40.15/40.35 apply zenon_Hb6. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L35_ *) % 40.15/40.35 assert (zenon_L36_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e21))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb3 zenon_Hb4. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H79 | zenon_intro zenon_Hba ]. % 40.15/40.35 apply (zenon_L25_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hbb ]. % 40.15/40.35 apply (zenon_L33_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hae | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L34_); trivial. % 40.15/40.35 apply (zenon_L35_); trivial. % 40.15/40.35 (* end of lemma zenon_L36_ *) % 40.15/40.35 assert (zenon_L37_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H22 zenon_H62 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.15/40.35 apply (zenon_L18_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.15/40.35 apply (zenon_L20_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.15/40.35 apply (zenon_L32_); trivial. % 40.15/40.35 apply (zenon_L36_); trivial. % 40.15/40.35 (* end of lemma zenon_L37_ *) % 40.15/40.35 assert (zenon_L38_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H39 zenon_H44 zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H22 zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.15/40.35 apply (zenon_L30_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.15/40.35 apply (zenon_L13_); trivial. % 40.15/40.35 apply (zenon_L37_); trivial. % 40.15/40.35 (* end of lemma zenon_L38_ *) % 40.15/40.35 assert (zenon_L39_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e22)) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hbf zenon_Hc0 zenon_H37 zenon_Hc1. % 40.15/40.35 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hbf. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc0. % 40.15/40.35 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hc3. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc4. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.35 congruence. % 40.15/40.35 apply (zenon_L12_); trivial. % 40.15/40.35 apply zenon_Hc5. apply refl_equal. % 40.15/40.35 apply zenon_Hc5. apply refl_equal. % 40.15/40.35 apply zenon_Hc2. apply sym_equal. exact zenon_Hc1. % 40.15/40.35 (* end of lemma zenon_L39_ *) % 40.15/40.35 assert (zenon_L40_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H42 zenon_Hc6 zenon_Hc0 zenon_Hc1 zenon_H37 zenon_Hc7. % 40.15/40.35 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hc7. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc8. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hca]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hca. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 40.15/40.35 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hcb]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e22) = (op2 (e21) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hcb. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc8. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 40.15/40.35 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Hcc zenon_Hc6). % 40.15/40.35 apply zenon_Hc9. apply refl_equal. % 40.15/40.35 apply zenon_Hc9. apply refl_equal. % 40.15/40.35 apply (zenon_L39_); trivial. % 40.15/40.35 apply zenon_Hc9. apply refl_equal. % 40.15/40.35 apply zenon_Hc9. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L40_ *) % 40.15/40.35 assert (zenon_L41_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hcd zenon_Hc0 zenon_H37 zenon_Hce. % 40.15/40.35 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (e22) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hcd. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc0. % 40.15/40.35 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 40.15/40.35 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hc3. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc4. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.35 congruence. % 40.15/40.35 apply (zenon_L12_); trivial. % 40.15/40.35 apply zenon_Hc5. apply refl_equal. % 40.15/40.35 apply zenon_Hc5. apply refl_equal. % 40.15/40.35 apply zenon_Hcf. apply sym_equal. exact zenon_Hce. % 40.15/40.35 (* end of lemma zenon_L41_ *) % 40.15/40.35 assert (zenon_L42_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hd0 zenon_H42 zenon_Hd1 zenon_Hc0 zenon_Hce zenon_H37. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hd0. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 40.15/40.35 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ]. % 40.15/40.35 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e22) = (op2 (e21) (e23)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hd2. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Haa. % 40.15/40.35 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 40.15/40.35 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Hd3 zenon_Hd1). % 40.15/40.35 apply zenon_Hab. apply refl_equal. % 40.15/40.35 apply zenon_Hab. apply refl_equal. % 40.15/40.35 apply (zenon_L41_); trivial. % 40.15/40.35 (* end of lemma zenon_L42_ *) % 40.15/40.35 assert (zenon_L43_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hd4 zenon_H96 zenon_Hd5 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hc0 zenon_Hce zenon_H37. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.15/40.35 apply (zenon_L28_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.15/40.35 exact (zenon_Hd5 zenon_Hd8). % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.15/40.35 apply (zenon_L40_); trivial. % 40.15/40.35 apply (zenon_L42_); trivial. % 40.15/40.35 (* end of lemma zenon_L43_ *) % 40.15/40.35 assert (zenon_L44_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H37 zenon_Hd9 zenon_Hda. % 40.15/40.35 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hda. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H72. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hdb. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H37. % 40.15/40.35 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 40.15/40.35 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hdc. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H72. % 40.15/40.35 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 40.15/40.35 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_Hdd zenon_Hd9). % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 apply zenon_H81. apply refl_equal. % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 apply zenon_H73. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L44_ *) % 40.15/40.35 assert (zenon_L45_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H42 zenon_Hde zenon_Hc0 zenon_Hc1 zenon_H37 zenon_H6f. % 40.15/40.35 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H30 ]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H6f. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H35. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_Hdf. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H42. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 40.15/40.35 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H30 ]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e22) = (op2 (e22) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_He0. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H35. % 40.15/40.35 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 40.15/40.35 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_He1 zenon_Hde). % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 apply (zenon_L39_); trivial. % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 apply zenon_H30. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L45_ *) % 40.15/40.35 assert (zenon_L46_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (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 (e22) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H75 zenon_H64 zenon_He2 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H22 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_H39 zenon_Ha2 zenon_H5f zenon_H2d zenon_H3a zenon_H6f zenon_Hc0 zenon_Hde zenon_H42 zenon_H37 zenon_Hda. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.35 apply (zenon_L21_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He3 ]. % 40.15/40.35 apply (zenon_L38_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 40.15/40.35 apply (zenon_L23_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hd9 ]. % 40.15/40.35 apply (zenon_L45_); trivial. % 40.15/40.35 apply (zenon_L44_); trivial. % 40.15/40.35 (* end of lemma zenon_L46_ *) % 40.15/40.35 assert (zenon_L47_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_He5 zenon_H3a zenon_He6 zenon_H6a zenon_H2d zenon_H37. % 40.15/40.35 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_He5. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H3a. % 40.15/40.35 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 40.15/40.35 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e21) = (op2 (e21) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_He7. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_Hc8. % 40.15/40.35 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 40.15/40.35 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_He8 zenon_He6). % 40.15/40.35 apply zenon_Hc9. apply refl_equal. % 40.15/40.35 apply zenon_Hc9. apply refl_equal. % 40.15/40.35 apply (zenon_L22_); trivial. % 40.15/40.35 (* end of lemma zenon_L47_ *) % 40.15/40.35 assert (zenon_L48_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_H3a zenon_He6 zenon_H2d zenon_H37. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.35 apply (zenon_L21_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_L47_); trivial. % 40.15/40.35 (* end of lemma zenon_L48_ *) % 40.15/40.35 assert (zenon_L49_ : (((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False). % 40.15/40.35 do 0 intro. intros zenon_He9 zenon_H96 zenon_H42 zenon_H37 zenon_H9c zenon_Hea zenon_H64 zenon_H3a zenon_H4d zenon_H39 zenon_He2 zenon_Hda zenon_Hc7 zenon_Hd0 zenon_Hd4 zenon_H2d zenon_H6f zenon_Ha2 zenon_H44 zenon_Hbc zenon_H78 zenon_Ha7 zenon_Had zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H22 zenon_H62 zenon_H48 zenon_H59 zenon_H5c zenon_H5f zenon_H75 zenon_H85 zenon_Heb zenon_He5. % 40.15/40.35 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.15/40.35 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.15/40.35 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.15/40.35 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 40.15/40.35 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 40.15/40.35 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 40.15/40.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hfa | zenon_intro zenon_Ha3 ]. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He6 ]. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.35 exact (zenon_Hfa zenon_Hfc). % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.35 apply (zenon_L28_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.35 apply (zenon_L29_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfe ]. % 40.15/40.35 apply (zenon_L29_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H94 | zenon_intro zenon_Hff ]. % 40.15/40.35 exact (zenon_H85 zenon_H94). % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hde | zenon_intro zenon_Hce ]. % 40.15/40.35 exact (zenon_He1 zenon_Hde). % 40.15/40.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.35 apply (zenon_L21_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He3 ]. % 40.15/40.35 apply (zenon_L38_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 40.15/40.35 apply (zenon_L23_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hd9 ]. % 40.15/40.35 apply (zenon_L43_); trivial. % 40.15/40.35 apply (zenon_L44_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.35 exact (zenon_Hfa zenon_Hfc). % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.35 apply (zenon_L28_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.35 apply (zenon_L29_); trivial. % 40.15/40.35 apply (zenon_L46_); trivial. % 40.15/40.35 apply (zenon_L48_); trivial. % 40.15/40.35 apply (zenon_L38_); trivial. % 40.15/40.35 (* end of lemma zenon_L49_ *) % 40.15/40.35 assert (zenon_L50_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H59 zenon_H100 zenon_H6a zenon_H57. % 40.15/40.35 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H59. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H100. % 40.15/40.35 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 40.15/40.35 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e21)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H102. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H50. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 40.15/40.35 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H104]. % 40.15/40.35 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_Ha4. apply refl_equal. % 40.15/40.35 apply zenon_H104. apply sym_equal. exact zenon_H6a. % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply zenon_H51. apply refl_equal. % 40.15/40.35 apply zenon_H101. apply sym_equal. exact zenon_H57. % 40.15/40.35 (* end of lemma zenon_L50_ *) % 40.15/40.35 assert (zenon_L51_ : (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H105 zenon_H106 zenon_H24 zenon_H59 zenon_H42 zenon_H44 zenon_H31 zenon_H22 zenon_H5f zenon_H2d zenon_H6f zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H78 zenon_H3a zenon_H37. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H100. zenon_intro zenon_H10d. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.15/40.35 exact (zenon_H24 zenon_H26). % 40.15/40.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.35 apply (zenon_L21_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.15/40.35 apply (zenon_L8_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.15/40.35 apply (zenon_L10_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.15/40.35 apply (zenon_L13_); trivial. % 40.15/40.35 apply (zenon_L50_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.15/40.35 apply (zenon_L24_); trivial. % 40.15/40.35 apply (zenon_L25_); trivial. % 40.15/40.35 (* end of lemma zenon_L51_ *) % 40.15/40.35 assert (zenon_L52_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H110 zenon_H111 zenon_H7f zenon_He5 zenon_Heb zenon_H5c zenon_H48 zenon_H62 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_Hbc zenon_Ha2 zenon_Hd4 zenon_Hd0 zenon_Hc7 zenon_Hda zenon_He2 zenon_Hea zenon_H9c zenon_H96 zenon_H106 zenon_H59 zenon_H42 zenon_H44 zenon_H31 zenon_H5f zenon_H6f zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H78 zenon_H3a zenon_H37. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H22. zenon_intro zenon_H112. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H24. zenon_intro zenon_H113. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H2d. zenon_intro zenon_H85. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H7e ]. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.15/40.35 exact (zenon_H24 zenon_H26). % 40.15/40.35 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.15/40.35 apply (zenon_L19_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.15/40.35 apply (zenon_L20_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.15/40.35 apply (zenon_L8_); trivial. % 40.15/40.35 exact (zenon_H124 zenon_Hb3). % 40.15/40.35 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.15/40.35 apply (zenon_L24_); trivial. % 40.15/40.35 apply (zenon_L25_); trivial. % 40.15/40.35 apply (zenon_L26_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.15/40.35 apply (zenon_L27_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.15/40.35 apply (zenon_L49_); trivial. % 40.15/40.35 apply (zenon_L51_); trivial. % 40.15/40.35 (* end of lemma zenon_L52_ *) % 40.15/40.35 assert (zenon_L53_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (e23))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H5c zenon_H49 zenon_H3a zenon_H4d zenon_H48 zenon_H37 zenon_H42 zenon_H126. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H4a | zenon_intro zenon_H5d ]. % 40.15/40.35 apply (zenon_L14_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4e | zenon_intro zenon_H5e ]. % 40.15/40.35 apply (zenon_L15_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H53 | zenon_intro zenon_H58 ]. % 40.15/40.35 apply (zenon_L16_); trivial. % 40.15/40.35 exact (zenon_H126 zenon_H58). % 40.15/40.35 (* end of lemma zenon_L53_ *) % 40.15/40.35 assert (zenon_L54_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hbc zenon_H126 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H22 zenon_H62 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.15/40.35 apply (zenon_L53_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.15/40.35 apply (zenon_L20_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.15/40.35 apply (zenon_L32_); trivial. % 40.15/40.35 apply (zenon_L36_); trivial. % 40.15/40.35 (* end of lemma zenon_L54_ *) % 40.15/40.35 assert (zenon_L55_ : (~((e21) = (e21))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hb6. % 40.15/40.35 apply zenon_Hb6. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L55_ *) % 40.15/40.35 assert (zenon_L56_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> (~((e21) = (e23))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H6a zenon_H127 zenon_H128. % 40.15/40.35 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha4 ]. % 40.15/40.35 cut (((e23) = (e23)) = ((e21) = (e23))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H128. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H129. % 40.15/40.35 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.35 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 40.15/40.35 congruence. % 40.15/40.35 cut (((op2 (e23) (e23)) = (e21)) = ((e23) = (e21))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H12a. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H6a. % 40.15/40.35 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 40.15/40.35 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 40.15/40.35 congruence. % 40.15/40.35 exact (zenon_H12b zenon_H127). % 40.15/40.35 apply zenon_Hb6. apply refl_equal. % 40.15/40.35 apply zenon_Ha4. apply refl_equal. % 40.15/40.35 apply zenon_Ha4. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L56_ *) % 40.15/40.35 assert (zenon_L57_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> (~((e21) = (e23))) -> False). % 40.15/40.35 do 0 intro. intros zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H127 zenon_H128. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H79 | zenon_intro zenon_Hba ]. % 40.15/40.35 apply (zenon_L25_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hbb ]. % 40.15/40.35 apply (zenon_L33_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hae | zenon_intro zenon_H6a ]. % 40.15/40.35 apply (zenon_L34_); trivial. % 40.15/40.35 apply (zenon_L56_); trivial. % 40.15/40.35 (* end of lemma zenon_L57_ *) % 40.15/40.35 assert (zenon_L58_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H12c zenon_H7f zenon_Hb4 zenon_Ha5 zenon_H62 zenon_H22 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H126 zenon_Hbc zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H128. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.15/40.35 apply (zenon_L26_); trivial. % 40.15/40.35 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.15/40.35 exact (zenon_H126 zenon_H58). % 40.15/40.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.15/40.35 apply (zenon_L54_); trivial. % 40.15/40.35 apply (zenon_L57_); trivial. % 40.15/40.35 (* end of lemma zenon_L58_ *) % 40.15/40.35 assert (zenon_L59_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H12f zenon_H12c zenon_H7f zenon_Hb4 zenon_Ha5 zenon_H62 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_Hbc zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H128. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_H22. zenon_intro zenon_H130. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H24. zenon_intro zenon_H131. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H6a. zenon_intro zenon_H126. % 40.15/40.35 apply (zenon_L58_); trivial. % 40.15/40.35 (* end of lemma zenon_L59_ *) % 40.15/40.35 assert (zenon_L60_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H132. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Ha3. zenon_intro zenon_H133. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_Hfa. zenon_intro zenon_H134. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Hfc. zenon_intro zenon_H135. % 40.15/40.35 exact (zenon_H135 zenon_Ha3). % 40.15/40.35 (* end of lemma zenon_L60_ *) % 40.15/40.35 assert (zenon_L61_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H136. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H138. zenon_intro zenon_H137. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H13a. zenon_intro zenon_H139. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H138. zenon_intro zenon_H13a. % 40.15/40.35 exact (zenon_H13a zenon_H138). % 40.15/40.35 (* end of lemma zenon_L61_ *) % 40.15/40.35 assert (zenon_L62_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H13b. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H138. zenon_intro zenon_H13c. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H13a. zenon_intro zenon_H13d. % 40.15/40.35 exact (zenon_H13a zenon_H138). % 40.15/40.35 (* end of lemma zenon_L62_ *) % 40.15/40.35 assert (zenon_L63_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H13e. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H138. zenon_intro zenon_H13f. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H13a. zenon_intro zenon_H140. % 40.15/40.35 exact (zenon_H13a zenon_H138). % 40.15/40.35 (* end of lemma zenon_L63_ *) % 40.15/40.35 assert (zenon_L64_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H141. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H138. zenon_intro zenon_H142. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H13a. zenon_intro zenon_H143. % 40.15/40.35 exact (zenon_H13a zenon_H138). % 40.15/40.35 (* end of lemma zenon_L64_ *) % 40.15/40.35 assert (zenon_L65_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H144. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H146. zenon_intro zenon_H145. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 40.15/40.35 exact (zenon_H149 zenon_H146). % 40.15/40.35 (* end of lemma zenon_L65_ *) % 40.15/40.35 assert (zenon_L66_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H14b. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H146. zenon_intro zenon_H14c. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H148. zenon_intro zenon_H14d. % 40.15/40.35 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H14f. zenon_intro zenon_H14e. % 40.15/40.35 exact (zenon_H14e zenon_H14f). % 40.15/40.35 (* end of lemma zenon_L66_ *) % 40.15/40.35 assert (zenon_L67_ : (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H150 zenon_H146 zenon_H151. % 40.15/40.35 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H150. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H146. % 40.15/40.35 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 40.15/40.35 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H153. apply refl_equal. % 40.15/40.35 apply zenon_H152. apply sym_equal. exact zenon_H151. % 40.15/40.35 (* end of lemma zenon_L67_ *) % 40.15/40.35 assert (zenon_L68_ : (~((e10) = (e10))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H154. % 40.15/40.35 apply zenon_H154. apply refl_equal. % 40.15/40.35 (* end of lemma zenon_L68_ *) % 40.15/40.35 assert (zenon_L69_ : (~((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e10))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.35 do 0 intro. intros zenon_H155 zenon_H156. % 40.15/40.35 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 40.15/40.35 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 40.15/40.35 congruence. % 40.15/40.35 apply zenon_H154. apply refl_equal. % 40.15/40.35 exact (zenon_H157 zenon_H156). % 40.15/40.35 (* end of lemma zenon_L69_ *) % 40.15/40.35 assert (zenon_L70_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e13)) = (e10)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H158 zenon_H159 zenon_H156 zenon_H15a. % 40.15/40.35 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H158. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H159. % 40.15/40.35 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 40.15/40.35 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H15d | zenon_intro zenon_H15e ]. % 40.15/40.35 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e13)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H15c. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H15d. % 40.15/40.35 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 40.15/40.35 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 40.15/40.35 congruence. % 40.15/40.35 apply (zenon_L69_); trivial. % 40.15/40.35 apply zenon_H15e. apply refl_equal. % 40.15/40.35 apply zenon_H15e. apply refl_equal. % 40.15/40.35 apply zenon_H15b. apply sym_equal. exact zenon_H15a. % 40.15/40.35 (* end of lemma zenon_L70_ *) % 40.15/40.35 assert (zenon_L71_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e12) (e13)) = (e10)) -> False). % 40.15/40.35 do 0 intro. intros zenon_H15f zenon_H159 zenon_H156 zenon_H160. % 40.15/40.35 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H15f. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H159. % 40.15/40.35 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 40.15/40.35 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 40.15/40.35 congruence. % 40.15/40.35 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H15d | zenon_intro zenon_H15e ]. % 40.15/40.35 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e13)))). % 40.15/40.35 intro zenon_D_pnotp. % 40.15/40.35 apply zenon_H15c. % 40.15/40.35 rewrite <- zenon_D_pnotp. % 40.15/40.35 exact zenon_H15d. % 40.15/40.35 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 40.15/40.35 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 40.15/40.35 congruence. % 40.15/40.35 apply (zenon_L69_); trivial. % 40.15/40.35 apply zenon_H15e. apply refl_equal. % 40.15/40.35 apply zenon_H15e. apply refl_equal. % 40.15/40.35 apply zenon_H161. apply sym_equal. exact zenon_H160. % 40.15/40.36 (* end of lemma zenon_L71_ *) % 40.15/40.36 assert (zenon_L72_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H156 zenon_H162 zenon_H163. % 40.15/40.36 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H163. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H164. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H166. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H156. % 40.15/40.36 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 40.15/40.36 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e13) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H168. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H164. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H169]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H169 zenon_H162). % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 apply zenon_H167. apply refl_equal. % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L72_ *) % 40.15/40.36 assert (zenon_L73_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H16a zenon_H163 zenon_H150 zenon_H146 zenon_H158 zenon_H156 zenon_H15f zenon_H16b. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H179 | zenon_intro zenon_H162 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H151 | zenon_intro zenon_H17a ]. % 40.15/40.36 apply (zenon_L67_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H15a | zenon_intro zenon_H17b ]. % 40.15/40.36 apply (zenon_L70_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ]. % 40.15/40.36 apply (zenon_L71_); trivial. % 40.15/40.36 exact (zenon_H179 zenon_H17c). % 40.15/40.36 apply (zenon_L72_); trivial. % 40.15/40.36 (* end of lemma zenon_L73_ *) % 40.15/40.36 assert (zenon_L74_ : (((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))) -> (~((op1 (e12) (e11)) = (e12))) -> ((op1 (e12) (e12)) = (e11)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H17d zenon_H17e zenon_H17f. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H181. zenon_intro zenon_H180. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H185. zenon_intro zenon_H184. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H189. zenon_intro zenon_H188. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H18d. zenon_intro zenon_H18c. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H18f | zenon_intro zenon_H18e ]. % 40.15/40.36 exact (zenon_H18f zenon_H17f). % 40.15/40.36 exact (zenon_H17e zenon_H18e). % 40.15/40.36 (* end of lemma zenon_L74_ *) % 40.15/40.36 assert (zenon_L75_ : (~((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H190 zenon_H156. % 40.15/40.36 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 40.15/40.36 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 apply zenon_H154. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L75_ *) % 40.15/40.36 assert (zenon_L76_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H192 zenon_H193 zenon_H194 zenon_H156. % 40.15/40.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H192. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H193. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.15/40.36 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 40.15/40.36 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H195. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H196. % 40.15/40.36 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 40.15/40.36 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H198]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H198 zenon_H194). % 40.15/40.36 apply zenon_H197. apply refl_equal. % 40.15/40.36 apply zenon_H197. apply refl_equal. % 40.15/40.36 apply (zenon_L75_); trivial. % 40.15/40.36 (* end of lemma zenon_L76_ *) % 40.15/40.36 assert (zenon_L77_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e12) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H199 zenon_H193 zenon_H19a zenon_H156. % 40.15/40.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H199. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H193. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.15/40.36 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H19c | zenon_intro zenon_H19d ]. % 40.15/40.36 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H19b. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H19c. % 40.15/40.36 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 40.15/40.36 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H19e zenon_H19a). % 40.15/40.36 apply zenon_H19d. apply refl_equal. % 40.15/40.36 apply zenon_H19d. apply refl_equal. % 40.15/40.36 apply (zenon_L75_); trivial. % 40.15/40.36 (* end of lemma zenon_L77_ *) % 40.15/40.36 assert (zenon_L78_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H156 zenon_H19f zenon_H1a0. % 40.15/40.36 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1a0. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a1. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1a3. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H156. % 40.15/40.36 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 40.15/40.36 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1a4. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a1. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1a5 zenon_H19f). % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 apply zenon_H167. apply refl_equal. % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L78_ *) % 40.15/40.36 assert (zenon_L79_ : (~((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1a6 zenon_H156. % 40.15/40.36 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 40.15/40.36 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 (* end of lemma zenon_L79_ *) % 40.15/40.36 assert (zenon_L80_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e13) (e10)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1a7. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1aa. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H164. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1ab zenon_H1a9). % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 (* end of lemma zenon_L80_ *) % 40.15/40.36 assert (zenon_L81_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e13) (e11)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1ac zenon_H1a8 zenon_H1ad zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ac. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ae. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1af. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1b1]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1b1 zenon_H1ad). % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 (* end of lemma zenon_L81_ *) % 40.15/40.36 assert (zenon_L82_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e13) (e12)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1b2 zenon_H1a8 zenon_H1b3 zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1b2. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1b4. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1b5. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1b7 zenon_H1b3). % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 (* end of lemma zenon_L82_ *) % 40.15/40.36 assert (zenon_L83_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1b8 zenon_H1b9 zenon_H1ba. % 40.15/40.36 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1b8. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1b9. % 40.15/40.36 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 apply zenon_H1bb. apply sym_equal. exact zenon_H1ba. % 40.15/40.36 (* end of lemma zenon_L83_ *) % 40.15/40.36 assert (zenon_L84_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e12)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H193 zenon_H1bc zenon_H156 zenon_H1bd. % 40.15/40.36 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1bd. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1b5. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1be. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H193. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.15/40.36 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e12) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1bf. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1b5. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1c0 zenon_H1bc). % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply (zenon_L75_); trivial. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L84_ *) % 40.15/40.36 assert (zenon_L85_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1c1 zenon_H1c2 zenon_H1c3. % 40.15/40.36 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1c3. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1b5. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1c4. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1c1. % 40.15/40.36 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1c5. apply sym_equal. exact zenon_H1c2. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L85_ *) % 40.15/40.36 assert (zenon_L86_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1c6 zenon_H1b9 zenon_H1b8 zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1c2 zenon_H1c3. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c7 ]. % 40.15/40.36 apply (zenon_L83_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c8 ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1c1 ]. % 40.15/40.36 apply (zenon_L84_); trivial. % 40.15/40.36 apply (zenon_L85_); trivial. % 40.15/40.36 (* end of lemma zenon_L86_ *) % 40.15/40.36 assert (zenon_L87_ : (~((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e12) (e12)) = (e11)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1c9 zenon_H1ca zenon_H156 zenon_H17f. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e12) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1c9. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1ca. % 40.15/40.36 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1cb]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ]. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e13) (e13)) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1cc. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1cd. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 congruence. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 apply zenon_H1ce. apply refl_equal. % 40.15/40.36 apply zenon_H1ce. apply refl_equal. % 40.15/40.36 apply zenon_H1cb. apply sym_equal. exact zenon_H17f. % 40.15/40.36 (* end of lemma zenon_L87_ *) % 40.15/40.36 assert (zenon_L88_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1cf zenon_H1a8 zenon_H1d0 zenon_H1ca zenon_H17f zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1cf. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c9]. % 40.15/40.36 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e11) = (op1 (e10) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1d1. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a1. % 40.15/40.36 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 40.15/40.36 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1d2 zenon_H1d0). % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 apply zenon_H1a2. apply refl_equal. % 40.15/40.36 apply (zenon_L87_); trivial. % 40.15/40.36 (* end of lemma zenon_L88_ *) % 40.15/40.36 assert (zenon_L89_ : (~((op1 (op1 (e10) (e10)) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e12)) = (e12)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1d3 zenon_H1d4 zenon_H156 zenon_H1d5. % 40.15/40.36 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (op1 (e10) (e10)) (e10)) = (op1 (e10) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1d3. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1d4. % 40.15/40.36 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1d9 ]. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e10)) = (op1 (op1 (e10) (e10)) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1d7. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1d8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d9]. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.15/40.36 congruence. % 40.15/40.36 apply (zenon_L75_); trivial. % 40.15/40.36 apply zenon_H1d9. apply refl_equal. % 40.15/40.36 apply zenon_H1d9. apply refl_equal. % 40.15/40.36 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5. % 40.15/40.36 (* end of lemma zenon_L89_ *) % 40.15/40.36 assert (zenon_L90_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1da zenon_H193 zenon_H1db zenon_H1d4 zenon_H1d5 zenon_H156. % 40.15/40.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1da. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H193. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 40.15/40.36 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1dc]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1dd | zenon_intro zenon_H153 ]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1dc. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1dd. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1de zenon_H1db). % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply (zenon_L89_); trivial. % 40.15/40.36 (* end of lemma zenon_L90_ *) % 40.15/40.36 assert (zenon_L91_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (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 (e12) (e12)) = (e11)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1e0 zenon_H1c3 zenon_H1c2 zenon_H1bd zenon_H1b2 zenon_H1b8 zenon_H1c6 zenon_H17f zenon_H1a8 zenon_H1cf zenon_H1d4 zenon_H1db zenon_H193 zenon_H1da zenon_H156 zenon_H1a0. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.36 apply (zenon_L80_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1e3 ]. % 40.15/40.36 apply (zenon_L86_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1e4 ]. % 40.15/40.36 apply (zenon_L88_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19f ]. % 40.15/40.36 apply (zenon_L90_); trivial. % 40.15/40.36 apply (zenon_L78_); trivial. % 40.15/40.36 (* end of lemma zenon_L91_ *) % 40.15/40.36 assert (zenon_L92_ : (~((e11) = (e11))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1e5. % 40.15/40.36 apply zenon_H1e5. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L92_ *) % 40.15/40.36 assert (zenon_L93_ : ((op1 (e12) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e13)) -> (~((e11) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H17f zenon_H1e6 zenon_H1e7. % 40.15/40.36 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ]. % 40.15/40.36 cut (((e13) = (e13)) = ((e11) = (e13))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1e7. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1e8. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e12) (e12)) = (e11)) = ((e13) = (e11))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ea. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H17f. % 40.15/40.36 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 40.15/40.36 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1eb zenon_H1e6). % 40.15/40.36 apply zenon_H1e5. apply refl_equal. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L93_ *) % 40.15/40.36 assert (zenon_L94_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1ec zenon_H1ed zenon_H1ee. % 40.15/40.36 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ec. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1ed. % 40.15/40.36 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 40.15/40.36 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H165. apply refl_equal. % 40.15/40.36 apply zenon_H1ef. apply sym_equal. exact zenon_H1ee. % 40.15/40.36 (* end of lemma zenon_L94_ *) % 40.15/40.36 assert (zenon_L95_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H193 zenon_H1f0 zenon_H156 zenon_H1ec. % 40.15/40.36 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ec. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1af. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e11)) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1f1. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H193. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.15/40.36 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1f2. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1af. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1f3]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H1f3 zenon_H1f0). % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply (zenon_L75_); trivial. % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L95_ *) % 40.15/40.36 assert (zenon_L96_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1c1 zenon_H1f4 zenon_H1f5. % 40.15/40.36 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1f5. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1b5. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1f6. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1c1. % 40.15/40.36 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f7]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1f7. apply sym_equal. exact zenon_H1f4. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 apply zenon_H1b6. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L96_ *) % 40.15/40.36 assert (zenon_L97_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1f8 zenon_H1ed zenon_H1a8 zenon_H1ac zenon_H1ec zenon_H156 zenon_H193 zenon_H1c1 zenon_H1f5. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f9 ]. % 40.15/40.36 apply (zenon_L94_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1fa ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f4 ]. % 40.15/40.36 apply (zenon_L95_); trivial. % 40.15/40.36 apply (zenon_L96_); trivial. % 40.15/40.36 (* end of lemma zenon_L97_ *) % 40.15/40.36 assert (zenon_L98_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((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) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1da zenon_H1db zenon_H1d4 zenon_H1cf zenon_H1c6 zenon_H1b8 zenon_H1b2 zenon_H1bd zenon_H1c3 zenon_H1e0 zenon_H1a7 zenon_H1df zenon_H1e7 zenon_H17f zenon_H1f8 zenon_H1ed zenon_H1a8 zenon_H1ac zenon_H1ec zenon_H156 zenon_H193 zenon_H1f5. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.36 apply (zenon_L78_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.36 apply (zenon_L91_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.36 apply (zenon_L93_); trivial. % 40.15/40.36 apply (zenon_L97_); trivial. % 40.15/40.36 (* end of lemma zenon_L98_ *) % 40.15/40.36 assert (zenon_L99_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1fe zenon_H146 zenon_H1ee. % 40.15/40.36 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1fe. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H146. % 40.15/40.36 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H1ef. apply sym_equal. exact zenon_H1ee. % 40.15/40.36 (* end of lemma zenon_L99_ *) % 40.15/40.36 assert (zenon_L100_ : (~((e13) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1e9. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L100_ *) % 40.15/40.36 assert (zenon_L101_ : (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1ff zenon_H1c1 zenon_H1ba. % 40.15/40.36 cut (((op1 (e13) (e12)) = (e13)) = ((e10) = (e13))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ff. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1c1. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H200]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H200 zenon_H1ba). % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L101_ *) % 40.15/40.36 assert (zenon_L102_ : ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e11)) -> (~((e10) = (e11))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H17c zenon_H1ca zenon_H201. % 40.15/40.36 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H202 | zenon_intro zenon_H1e5 ]. % 40.15/40.36 cut (((e11) = (e11)) = ((e10) = (e11))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H201. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H202. % 40.15/40.36 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 40.15/40.36 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e10)) = ((e11) = (e10))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H203. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H17c. % 40.15/40.36 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H204 zenon_H1ca). % 40.15/40.36 apply zenon_H154. apply refl_equal. % 40.15/40.36 apply zenon_H1e5. apply refl_equal. % 40.15/40.36 apply zenon_H1e5. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L102_ *) % 40.15/40.36 assert (zenon_L103_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e11))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H17c zenon_H201. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.36 apply (zenon_L80_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_L102_); trivial. % 40.15/40.36 (* end of lemma zenon_L103_ *) % 40.15/40.36 assert (zenon_L104_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H205 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H1fe zenon_H146 zenon_H1fb zenon_H1a0 zenon_H1da zenon_H1d4 zenon_H1cf zenon_H1c6 zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1e0 zenon_H1e7 zenon_H17f zenon_H1f8 zenon_H1f5 zenon_H206 zenon_H207 zenon_H17e zenon_H193 zenon_H156 zenon_H1ec. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.15/40.36 apply (zenon_L98_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.15/40.36 apply (zenon_L99_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.15/40.36 apply (zenon_L101_); trivial. % 40.15/40.36 apply (zenon_L103_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.15/40.36 exact (zenon_H207 zenon_H20c). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.15/40.36 exact (zenon_H17e zenon_H18e). % 40.15/40.36 apply (zenon_L95_); trivial. % 40.15/40.36 (* end of lemma zenon_L104_ *) % 40.15/40.36 assert (zenon_L105_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H20d zenon_H1a8 zenon_H20e zenon_H17f zenon_H156. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.36 apply (zenon_L80_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H20d. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c9]. % 40.15/40.36 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20f]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 40.15/40.36 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e11) = (op1 (e11) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H20f. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H210. % 40.15/40.36 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 40.15/40.36 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H212]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H212 zenon_H20e). % 40.15/40.36 apply zenon_H211. apply refl_equal. % 40.15/40.36 apply zenon_H211. apply refl_equal. % 40.15/40.36 apply (zenon_L87_); trivial. % 40.15/40.36 (* end of lemma zenon_L105_ *) % 40.15/40.36 assert (zenon_L106_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e12)) -> (~((e12) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H156 zenon_H213 zenon_H214. % 40.15/40.36 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ]. % 40.15/40.36 cut (((e13) = (e13)) = ((e12) = (e13))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H214. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1e8. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H215]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e13) = (op1 (e10) (e10))) = ((e13) = (e12))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H215. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H156. % 40.15/40.36 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 exact (zenon_H216 zenon_H213). % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L106_ *) % 40.15/40.36 assert (zenon_L107_ : ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H217 zenon_H146 zenon_H150 zenon_H156. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H191 | zenon_intro zenon_H151 ]. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 apply (zenon_L67_); trivial. % 40.15/40.36 (* end of lemma zenon_L107_ *) % 40.15/40.36 assert (zenon_L108_ : (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H218 zenon_H146 zenon_H150 zenon_H156. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.15/40.36 apply (zenon_L107_); trivial. % 40.15/40.36 (* end of lemma zenon_L108_ *) % 40.15/40.36 assert (zenon_L109_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H222 zenon_H223 zenon_H16b zenon_H15f zenon_H158 zenon_H163 zenon_H20d zenon_H192 zenon_H193 zenon_H199 zenon_H1a0 zenon_H1df zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H1b2 zenon_H1ac zenon_H1a8 zenon_H1a7 zenon_H1e7 zenon_H205 zenon_H1fb zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H201 zenon_H206 zenon_H224 zenon_H214 zenon_H150 zenon_H156. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.15/40.36 apply (zenon_L73_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.15/40.36 apply (zenon_L74_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.15/40.36 exact (zenon_H216 zenon_H213). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.15/40.36 apply (zenon_L76_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.15/40.36 apply (zenon_L77_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.36 apply (zenon_L78_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.36 apply (zenon_L91_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.36 apply (zenon_L93_); trivial. % 40.15/40.36 apply (zenon_L104_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.15/40.36 exact (zenon_H207 zenon_H20c). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.15/40.36 exact (zenon_H17e zenon_H18e). % 40.15/40.36 apply (zenon_L95_); trivial. % 40.15/40.36 apply (zenon_L105_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.15/40.36 apply (zenon_L106_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.15/40.36 apply (zenon_L76_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.15/40.36 apply (zenon_L77_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.15/40.36 apply (zenon_L98_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.15/40.36 apply (zenon_L99_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.15/40.36 apply (zenon_L83_); trivial. % 40.15/40.36 apply (zenon_L103_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.15/40.36 exact (zenon_H207 zenon_H20c). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.15/40.36 exact (zenon_H17e zenon_H18e). % 40.15/40.36 apply (zenon_L95_); trivial. % 40.15/40.36 apply (zenon_L105_); trivial. % 40.15/40.36 apply (zenon_L108_); trivial. % 40.15/40.36 (* end of lemma zenon_L109_ *) % 40.15/40.36 assert (zenon_L110_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1f8 zenon_H1ed zenon_H1a8 zenon_H1ac zenon_H1ec zenon_H156 zenon_H193 zenon_H238. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f9 ]. % 40.15/40.36 apply (zenon_L94_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1fa ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f4 ]. % 40.15/40.36 apply (zenon_L95_); trivial. % 40.15/40.36 exact (zenon_H238 zenon_H1f4). % 40.15/40.36 (* end of lemma zenon_L110_ *) % 40.15/40.36 assert (zenon_L111_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H206 zenon_H238 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H146 zenon_H1fe zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.15/40.36 apply (zenon_L110_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.15/40.36 apply (zenon_L99_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.15/40.36 apply (zenon_L101_); trivial. % 40.15/40.36 apply (zenon_L103_); trivial. % 40.15/40.36 (* end of lemma zenon_L111_ *) % 40.15/40.36 assert (zenon_L112_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> (~((e11) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1ca zenon_H239 zenon_H1e7. % 40.15/40.36 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ]. % 40.15/40.36 cut (((e13) = (e13)) = ((e11) = (e13))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1e7. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1e8. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e11)) = ((e13) = (e11))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ea. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1ca. % 40.15/40.36 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H23a zenon_H239). % 40.15/40.36 apply zenon_H1e5. apply refl_equal. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L112_ *) % 40.15/40.36 assert (zenon_L113_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H23b zenon_H23c zenon_H163 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1ec zenon_H193 zenon_H206 zenon_H1e7. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H146. zenon_intro zenon_H23d. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H148. zenon_intro zenon_H23e. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.15/40.36 apply (zenon_L72_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.15/40.36 exact (zenon_H238 zenon_H1f4). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.15/40.36 apply (zenon_L111_); trivial. % 40.15/40.36 apply (zenon_L112_); trivial. % 40.15/40.36 (* end of lemma zenon_L113_ *) % 40.15/40.36 assert (zenon_L114_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H241. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H1b9. zenon_intro zenon_H242. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H216. zenon_intro zenon_H243. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H213. zenon_intro zenon_H244. % 40.15/40.36 exact (zenon_H244 zenon_H1b9). % 40.15/40.36 (* end of lemma zenon_L114_ *) % 40.15/40.36 assert (zenon_L115_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e20)) = (e21)) -> (~((e21) = (e23))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H37 zenon_H26 zenon_H128. % 40.15/40.36 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha4 ]. % 40.15/40.36 cut (((e23) = (e23)) = ((e21) = (e23))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H128. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H129. % 40.15/40.36 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.36 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e23) = (op2 (e20) (e20))) = ((e23) = (e21))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H12a. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H37. % 40.15/40.36 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 40.15/40.36 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_Ha4. apply refl_equal. % 40.15/40.36 exact (zenon_H24 zenon_H26). % 40.15/40.36 apply zenon_Ha4. apply refl_equal. % 40.15/40.36 apply zenon_Ha4. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L115_ *) % 40.15/40.36 assert (zenon_L116_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e11) = (e13))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H156 zenon_H14a zenon_H1e7. % 40.15/40.36 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ]. % 40.15/40.36 cut (((e13) = (e13)) = ((e11) = (e13))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1e7. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1e8. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e13) = (op1 (e10) (e10))) = ((e13) = (e11))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1ea. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H156. % 40.15/40.36 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 exact (zenon_H148 zenon_H14a). % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L116_ *) % 40.15/40.36 assert (zenon_L117_ : (~((h1 (e11)) = (e21))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H245 zenon_H246 zenon_H3a. % 40.15/40.36 cut (((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((h1 (e11)) = (e21))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H245. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H246. % 40.15/40.36 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 40.15/40.36 cut (((h1 (e11)) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H248. apply refl_equal. % 40.15/40.36 apply zenon_H247. apply sym_equal. exact zenon_H3a. % 40.15/40.36 (* end of lemma zenon_L117_ *) % 40.15/40.36 assert (zenon_L118_ : (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e20) (e21)) = (e21)) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H249 zenon_H24a zenon_H2e zenon_H24b zenon_H246 zenon_H3a. % 40.15/40.36 cut (((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H249. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H246. % 40.15/40.36 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 40.15/40.36 cut (((h1 (e11)) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [ zenon_intro zenon_H24e | zenon_intro zenon_H24f ]. % 40.15/40.36 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11)))) = ((h1 (e11)) = (h1 (op1 (e10) (e11))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H24d. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H24e. % 40.15/40.36 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 40.15/40.36 cut (((h1 (op1 (e10) (e11))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H251 zenon_H24a). % 40.15/40.36 apply zenon_H24f. apply refl_equal. % 40.15/40.36 apply zenon_H24f. apply refl_equal. % 40.15/40.36 elim (classic ((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ]. % 40.15/40.36 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11)))) = ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e10)) (h1 (e11))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H24c. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H252. % 40.15/40.36 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H253]. % 40.15/40.36 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (h1 (e10)) (h1 (e11))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H254. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H2e. % 40.15/40.36 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 40.15/40.36 cut (((op2 (e20) (e21)) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ]. % 40.15/40.36 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11)))) = ((op2 (e20) (e21)) = (op2 (h1 (e10)) (h1 (e11))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H256. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H252. % 40.15/40.36 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H253]. % 40.15/40.36 cut (((op2 (h1 (e10)) (h1 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.15/40.36 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H258 zenon_H24b). % 40.15/40.36 apply (zenon_L117_); trivial. % 40.15/40.36 apply zenon_H253. apply refl_equal. % 40.15/40.36 apply zenon_H253. apply refl_equal. % 40.15/40.36 exact (zenon_H255 zenon_H3a). % 40.15/40.36 apply zenon_H253. apply refl_equal. % 40.15/40.36 apply zenon_H253. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L118_ *) % 40.15/40.36 assert (zenon_L119_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H259 zenon_H170 zenon_H1d0 zenon_H20c. % 40.15/40.36 cut (((op1 (e10) (op1 (e10) (e12))) = (e12)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H259. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H170. % 40.15/40.36 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 40.15/40.36 cut (((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1dd | zenon_intro zenon_H153 ]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H25b. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1dd. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d1]. % 40.15/40.36 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H154. apply refl_equal. % 40.15/40.36 apply zenon_H1d1. apply sym_equal. exact zenon_H1d0. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H25a. apply sym_equal. exact zenon_H20c. % 40.15/40.36 (* end of lemma zenon_L119_ *) % 40.15/40.36 assert (zenon_L120_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H25d zenon_H1a8 zenon_H25e zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H25d. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H25f]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H15d | zenon_intro zenon_H15e ]. % 40.15/40.36 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H25f. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H15d. % 40.15/40.36 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 40.15/40.36 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H260 zenon_H25e). % 40.15/40.36 apply zenon_H15e. apply refl_equal. % 40.15/40.36 apply zenon_H15e. apply refl_equal. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 (* end of lemma zenon_L120_ *) % 40.15/40.36 assert (zenon_L121_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H261 zenon_H11b zenon_H70 zenon_Hd8. % 40.15/40.36 cut (((op2 (e20) (op2 (e20) (e22))) = (e22)) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H261. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H11b. % 40.15/40.36 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 40.15/40.36 cut (((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H264 | zenon_intro zenon_H63 ]. % 40.15/40.36 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e21)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H263. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H264. % 40.15/40.36 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 40.15/40.36 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 40.15/40.36 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H40. apply refl_equal. % 40.15/40.36 apply zenon_H71. apply sym_equal. exact zenon_H70. % 40.15/40.36 apply zenon_H63. apply refl_equal. % 40.15/40.36 apply zenon_H63. apply refl_equal. % 40.15/40.36 apply zenon_H262. apply sym_equal. exact zenon_Hd8. % 40.15/40.36 (* end of lemma zenon_L121_ *) % 40.15/40.36 assert (zenon_L122_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H16a zenon_H106 zenon_H128 zenon_H156 zenon_H1a8 zenon_H25d zenon_H259 zenon_H20c zenon_H249 zenon_H24b zenon_H246 zenon_H1e7 zenon_H266 zenon_Hd8 zenon_H11b zenon_H261 zenon_H78 zenon_H3a zenon_H37. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.15/40.36 apply (zenon_L115_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H14a | zenon_intro zenon_H267 ]. % 40.15/40.36 apply (zenon_L116_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H24a | zenon_intro zenon_H268 ]. % 40.15/40.36 apply (zenon_L118_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H25e ]. % 40.15/40.36 apply (zenon_L119_); trivial. % 40.15/40.36 apply (zenon_L120_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.15/40.36 apply (zenon_L121_); trivial. % 40.15/40.36 apply (zenon_L25_); trivial. % 40.15/40.36 (* end of lemma zenon_L122_ *) % 40.15/40.36 assert (zenon_L123_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e11) (e13)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H269 zenon_H1a8 zenon_H26a zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H269. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H26b]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H26c | zenon_intro zenon_H26d ]. % 40.15/40.36 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H26b. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H26c. % 40.15/40.36 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H26d]. % 40.15/40.36 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H26e]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H26e zenon_H26a). % 40.15/40.36 apply zenon_H26d. apply refl_equal. % 40.15/40.36 apply zenon_H26d. apply refl_equal. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 (* end of lemma zenon_L123_ *) % 40.15/40.36 assert (zenon_L124_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e12) (e13)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H26f zenon_H1a8 zenon_H270 zenon_H156. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H26f. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H271]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H272 | zenon_intro zenon_H273 ]. % 40.15/40.36 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H271. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H272. % 40.15/40.36 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 40.15/40.36 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H274 zenon_H270). % 40.15/40.36 apply zenon_H273. apply refl_equal. % 40.15/40.36 apply zenon_H273. apply refl_equal. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 (* end of lemma zenon_L124_ *) % 40.15/40.36 assert (zenon_L125_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e11))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H204. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H25e | zenon_intro zenon_H276 ]. % 40.15/40.36 apply (zenon_L120_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H26a | zenon_intro zenon_H277 ]. % 40.15/40.36 apply (zenon_L123_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H270 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L124_); trivial. % 40.15/40.36 exact (zenon_H204 zenon_H1ca). % 40.15/40.36 (* end of lemma zenon_L125_ *) % 40.15/40.36 assert (zenon_L126_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1c6 zenon_H1b9 zenon_H1b8 zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1f4 zenon_H1f5. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c7 ]. % 40.15/40.36 apply (zenon_L83_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c8 ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1c1 ]. % 40.15/40.36 apply (zenon_L84_); trivial. % 40.15/40.36 apply (zenon_L96_); trivial. % 40.15/40.36 (* end of lemma zenon_L126_ *) % 40.15/40.36 assert (zenon_L127_ : (((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H17d zenon_H1b8 zenon_H1b9 zenon_H1b2 zenon_H1bd zenon_H193 zenon_H1f5 zenon_H1c6 zenon_H25d zenon_H1a8 zenon_H156 zenon_H269 zenon_H26f zenon_H275. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H181. zenon_intro zenon_H180. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H185. zenon_intro zenon_H184. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H189. zenon_intro zenon_H188. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H18d. zenon_intro zenon_H18c. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1f4 ]. % 40.15/40.36 apply (zenon_L125_); trivial. % 40.15/40.36 apply (zenon_L126_); trivial. % 40.15/40.36 (* end of lemma zenon_L127_ *) % 40.15/40.36 assert (zenon_L128_ : (((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13)))))))))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e11)) = (e12)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H229 zenon_H212 zenon_H20c. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.15/40.36 exact (zenon_H207 zenon_H20c). % 40.15/40.36 exact (zenon_H212 zenon_H20e). % 40.15/40.36 (* end of lemma zenon_L128_ *) % 40.15/40.36 assert (zenon_L129_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1f5 zenon_H220 zenon_H1ca zenon_H1c1. % 40.15/40.36 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1f5. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H220. % 40.15/40.36 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H278]. % 40.15/40.36 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H279]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H279. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1af. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 40.15/40.36 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H27a]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27b]. % 40.15/40.36 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H1e9. apply refl_equal. % 40.15/40.36 apply zenon_H27b. apply sym_equal. exact zenon_H1ca. % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply zenon_H1b0. apply refl_equal. % 40.15/40.36 apply zenon_H278. apply sym_equal. exact zenon_H1c1. % 40.15/40.36 (* end of lemma zenon_L129_ *) % 40.15/40.36 assert (zenon_L130_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H220 zenon_H1c1. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H25e | zenon_intro zenon_H276 ]. % 40.15/40.36 apply (zenon_L120_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H26a | zenon_intro zenon_H277 ]. % 40.15/40.36 apply (zenon_L123_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H270 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L124_); trivial. % 40.15/40.36 apply (zenon_L129_); trivial. % 40.15/40.36 (* end of lemma zenon_L130_ *) % 40.15/40.36 assert (zenon_L131_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H193 zenon_H1bd zenon_H1b2 zenon_H1b8 zenon_H1b9 zenon_H1c6 zenon_H1eb zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H220. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.36 apply (zenon_L78_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.36 apply (zenon_L86_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.36 exact (zenon_H1eb zenon_H1e6). % 40.15/40.36 apply (zenon_L130_); trivial. % 40.15/40.36 (* end of lemma zenon_L131_ *) % 40.15/40.36 assert (zenon_L132_ : ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H20c zenon_H1db zenon_H259. % 40.15/40.36 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H27c | zenon_intro zenon_H27d ]. % 40.15/40.36 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H259. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H27c. % 40.15/40.36 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.15/40.36 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27e]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H27e. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H20c. % 40.15/40.36 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1dc]. % 40.15/40.36 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H27d. apply refl_equal. % 40.15/40.36 apply zenon_H1dc. apply sym_equal. exact zenon_H1db. % 40.15/40.36 apply zenon_H27d. apply refl_equal. % 40.15/40.36 apply zenon_H27d. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L132_ *) % 40.15/40.36 assert (zenon_L133_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H27f zenon_H280 zenon_H281. % 40.15/40.36 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H27f. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H280. % 40.15/40.36 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H282]. % 40.15/40.36 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H197. apply refl_equal. % 40.15/40.36 apply zenon_H282. apply sym_equal. exact zenon_H281. % 40.15/40.36 (* end of lemma zenon_L133_ *) % 40.15/40.36 assert (zenon_L134_ : (~((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e10) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e11)) = (e11)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H283 zenon_H1ca zenon_H156 zenon_H24a. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H283. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1ca. % 40.15/40.36 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H284]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ]. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e13) (e13)) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1cc. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1cd. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.36 congruence. % 40.15/40.36 apply (zenon_L79_); trivial. % 40.15/40.36 apply zenon_H1ce. apply refl_equal. % 40.15/40.36 apply zenon_H1ce. apply refl_equal. % 40.15/40.36 apply zenon_H284. apply sym_equal. exact zenon_H24a. % 40.15/40.36 (* end of lemma zenon_L134_ *) % 40.15/40.36 assert (zenon_L135_ : ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1a8 zenon_H285 zenon_H1ca zenon_H24a zenon_H156 zenon_H286. % 40.15/40.36 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H287 | zenon_intro zenon_H288 ]. % 40.15/40.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H286. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H287. % 40.15/40.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 40.15/40.36 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H289. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1a8. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H283]. % 40.15/40.36 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H287 | zenon_intro zenon_H288 ]. % 40.15/40.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e11) = (op1 (e12) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H28a. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H287. % 40.15/40.36 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 40.15/40.36 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H28b zenon_H285). % 40.15/40.36 apply zenon_H288. apply refl_equal. % 40.15/40.36 apply zenon_H288. apply refl_equal. % 40.15/40.36 apply (zenon_L134_); trivial. % 40.15/40.36 apply zenon_H288. apply refl_equal. % 40.15/40.36 apply zenon_H288. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L135_ *) % 40.15/40.36 assert (zenon_L136_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H156 zenon_H28c zenon_H28d. % 40.15/40.36 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1dd | zenon_intro zenon_H153 ]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H28d. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1dd. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H28e. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H156. % 40.15/40.36 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 40.15/40.36 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28f]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1dd | zenon_intro zenon_H153 ]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H28f. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H1dd. % 40.15/40.36 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 40.15/40.36 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H290]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H290 zenon_H28c). % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H167. apply refl_equal. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 apply zenon_H153. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L136_ *) % 40.15/40.36 assert (zenon_L137_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H285 zenon_H1a8 zenon_H1d5 zenon_H1d4 zenon_H193 zenon_H1da zenon_H156 zenon_H28d. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.36 apply (zenon_L80_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H146 | zenon_intro zenon_H292 ]. % 40.15/40.36 apply (zenon_L107_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H24a | zenon_intro zenon_H293 ]. % 40.15/40.36 apply (zenon_L135_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1db | zenon_intro zenon_H28c ]. % 40.15/40.36 apply (zenon_L90_); trivial. % 40.15/40.36 apply (zenon_L136_); trivial. % 40.15/40.36 (* end of lemma zenon_L137_ *) % 40.15/40.36 assert (zenon_L138_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1cf zenon_H1a8 zenon_H1d0 zenon_H17f zenon_H156. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.36 apply (zenon_L80_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.36 apply (zenon_L81_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_L88_); trivial. % 40.15/40.36 (* end of lemma zenon_L138_ *) % 40.15/40.36 assert (zenon_L139_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H294 zenon_H280 zenon_H27f zenon_H28d zenon_H1da zenon_H193 zenon_H1d4 zenon_H1d5 zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H1d0 zenon_H1cf zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H26f zenon_H1a8 zenon_H156. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H281 | zenon_intro zenon_H295 ]. % 40.15/40.36 apply (zenon_L133_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 40.15/40.36 apply (zenon_L137_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H17f | zenon_intro zenon_H270 ]. % 40.15/40.36 apply (zenon_L138_); trivial. % 40.15/40.36 apply (zenon_L124_); trivial. % 40.15/40.36 (* end of lemma zenon_L139_ *) % 40.15/40.36 assert (zenon_L140_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H297 zenon_H298 zenon_H15f. % 40.15/40.36 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H272 | zenon_intro zenon_H273 ]. % 40.15/40.36 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H15f. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H272. % 40.15/40.36 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 40.15/40.36 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H299]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((op1 (e12) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H299. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H297. % 40.15/40.36 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29a]. % 40.15/40.36 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H273. apply refl_equal. % 40.15/40.36 apply zenon_H29a. apply sym_equal. exact zenon_H298. % 40.15/40.36 apply zenon_H273. apply refl_equal. % 40.15/40.36 apply zenon_H273. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L140_ *) % 40.15/40.36 assert (zenon_L141_ : (~((e12) = (e12))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H29b. % 40.15/40.36 apply zenon_H29b. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L141_ *) % 40.15/40.36 assert (zenon_L142_ : (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e11)) = (e11)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H29c zenon_H20c zenon_H14f. % 40.15/40.36 cut (((op1 (e11) (e11)) = (e12)) = ((e11) = (e12))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H29c. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H20c. % 40.15/40.36 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H29b]. % 40.15/40.36 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H14e zenon_H14f). % 40.15/40.36 apply zenon_H29b. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L142_ *) % 40.15/40.36 assert (zenon_L143_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H29d zenon_H281 zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H1a8 zenon_H156. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H280 | zenon_intro zenon_H29e ]. % 40.15/40.36 apply (zenon_L133_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14f | zenon_intro zenon_H29f ]. % 40.15/40.36 apply (zenon_L142_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H20e | zenon_intro zenon_H26a ]. % 40.15/40.36 exact (zenon_H212 zenon_H20e). % 40.15/40.36 apply (zenon_L123_); trivial. % 40.15/40.36 (* end of lemma zenon_L143_ *) % 40.15/40.36 assert (zenon_L144_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2a0 zenon_H1e7 zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H28d zenon_H1da zenon_H193 zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H1d0 zenon_H1cf zenon_H1b2 zenon_H1ac zenon_H1df zenon_H26f zenon_H259 zenon_H2a1 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H1a7 zenon_H1a8 zenon_H156. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H14a | zenon_intro zenon_H2a2 ]. % 40.15/40.36 apply (zenon_L116_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H280 | zenon_intro zenon_H2a3 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.15/40.36 exact (zenon_H216 zenon_H213). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.15/40.36 apply (zenon_L132_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.15/40.36 exact (zenon_H216 zenon_H213). % 40.15/40.36 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.15/40.36 apply (zenon_L76_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.15/40.36 apply (zenon_L77_); trivial. % 40.15/40.36 apply (zenon_L139_); trivial. % 40.15/40.36 apply (zenon_L140_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H281 | zenon_intro zenon_H1a9 ]. % 40.15/40.36 apply (zenon_L143_); trivial. % 40.15/40.36 apply (zenon_L80_); trivial. % 40.15/40.36 (* end of lemma zenon_L144_ *) % 40.15/40.36 assert (zenon_L145_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2a6. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1b9. zenon_intro zenon_H2a7. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H216. zenon_intro zenon_H2a8. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9. % 40.15/40.36 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.36 (* end of lemma zenon_L145_ *) % 40.15/40.36 assert (zenon_L146_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e13)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H193 zenon_H2ab zenon_H156 zenon_H1a7. % 40.15/40.36 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H1a7. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H2ac. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 40.15/40.36 congruence. % 40.15/40.36 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e13)) = (op1 (e13) (e10)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H2ae. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H193. % 40.15/40.36 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.15/40.36 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2af]. % 40.15/40.36 congruence. % 40.15/40.36 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H2af. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H2ac. % 40.15/40.36 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 40.15/40.36 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b0]. % 40.15/40.36 congruence. % 40.15/40.36 exact (zenon_H2b0 zenon_H2ab). % 40.15/40.36 apply zenon_H2ad. apply refl_equal. % 40.15/40.36 apply zenon_H2ad. apply refl_equal. % 40.15/40.36 apply (zenon_L75_); trivial. % 40.15/40.36 apply zenon_H2ad. apply refl_equal. % 40.15/40.36 apply zenon_H2ad. apply refl_equal. % 40.15/40.36 (* end of lemma zenon_L146_ *) % 40.15/40.36 assert (zenon_L147_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2b1 zenon_H193 zenon_H156 zenon_H1a7. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H1b9. zenon_intro zenon_H2b2. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H216. zenon_intro zenon_H2b3. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2ab. zenon_intro zenon_H2b4. % 40.15/40.36 apply (zenon_L146_); trivial. % 40.15/40.36 (* end of lemma zenon_L147_ *) % 40.15/40.36 assert (zenon_L148_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2b5. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H151. zenon_intro zenon_H2b6. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H191. zenon_intro zenon_H2b7. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 40.15/40.36 exact (zenon_H2b8 zenon_H151). % 40.15/40.36 (* end of lemma zenon_L148_ *) % 40.15/40.36 assert (zenon_L149_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2ba zenon_H156. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H151. zenon_intro zenon_H2bb. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H191. zenon_intro zenon_H2bc. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 (* end of lemma zenon_L149_ *) % 40.15/40.36 assert (zenon_L150_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2bd zenon_H156. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H151. zenon_intro zenon_H2be. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H191. zenon_intro zenon_H2bf. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 (* end of lemma zenon_L150_ *) % 40.15/40.36 assert (zenon_L151_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2c0 zenon_H156. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H151. zenon_intro zenon_H2c1. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H191. zenon_intro zenon_H2c2. % 40.15/40.36 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.15/40.36 (* end of lemma zenon_L151_ *) % 40.15/40.36 assert (zenon_L152_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2c3. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H280. zenon_intro zenon_H2c4. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c5. zenon_intro zenon_H139. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H138. zenon_intro zenon_H13a. % 40.15/40.36 exact (zenon_H13a zenon_H138). % 40.15/40.36 (* end of lemma zenon_L152_ *) % 40.15/40.36 assert (zenon_L153_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2c6. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H280. zenon_intro zenon_H2c7. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2c5. zenon_intro zenon_H13d. % 40.15/40.36 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 40.15/40.36 exact (zenon_H2c8 zenon_H280). % 40.15/40.36 (* end of lemma zenon_L153_ *) % 40.15/40.36 assert (zenon_L154_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H2ca zenon_H2cb zenon_H1ba. % 40.15/40.36 cut (((op1 (e12) (e12)) = (e10)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 40.15/40.36 intro zenon_D_pnotp. % 40.15/40.36 apply zenon_H2ca. % 40.15/40.36 rewrite <- zenon_D_pnotp. % 40.15/40.36 exact zenon_H2cb. % 40.15/40.36 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 40.15/40.36 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 40.15/40.36 congruence. % 40.15/40.36 apply zenon_H2cc. apply refl_equal. % 40.15/40.36 apply zenon_H1bb. apply sym_equal. exact zenon_H1ba. % 40.15/40.36 (* end of lemma zenon_L154_ *) % 40.15/40.36 assert (zenon_L155_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.15/40.36 do 0 intro. intros zenon_H1c6 zenon_H2cb zenon_H2ca zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1f4 zenon_H1f5. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c7 ]. % 40.15/40.36 apply (zenon_L154_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c8 ]. % 40.15/40.36 apply (zenon_L82_); trivial. % 40.15/40.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1c1 ]. % 40.15/40.36 apply (zenon_L84_); trivial. % 40.15/40.36 apply (zenon_L96_); trivial. % 40.15/40.36 (* end of lemma zenon_L155_ *) % 40.15/40.36 assert (zenon_L156_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> False). % 40.15/40.36 do 0 intro. intros zenon_H199 zenon_H22f zenon_H2cb zenon_H1d4. % 40.15/40.36 cut (((op1 (e12) (op1 (e12) (e12))) = (e12)) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H199. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H22f. % 40.15/40.37 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2cd]. % 40.15/40.37 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ce]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H19c | zenon_intro zenon_H19d ]. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H2ce. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H19c. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2cf]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d0]. % 40.15/40.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H29b]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H29b. apply refl_equal. % 40.15/40.37 apply zenon_H2d0. apply sym_equal. exact zenon_H2cb. % 40.15/40.37 apply zenon_H19d. apply refl_equal. % 40.15/40.37 apply zenon_H19d. apply refl_equal. % 40.15/40.37 apply zenon_H2cd. apply sym_equal. exact zenon_H1d4. % 40.15/40.37 (* end of lemma zenon_L156_ *) % 40.15/40.37 assert (zenon_L157_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1c6 zenon_H2cb zenon_H2ca zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1c2 zenon_H1c3. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c7 ]. % 40.15/40.37 apply (zenon_L154_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c8 ]. % 40.15/40.37 apply (zenon_L82_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1c1 ]. % 40.15/40.37 apply (zenon_L84_); trivial. % 40.15/40.37 apply (zenon_L85_); trivial. % 40.15/40.37 (* end of lemma zenon_L157_ *) % 40.15/40.37 assert (zenon_L158_ : (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H218 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H1c1. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.15/40.37 apply (zenon_L130_); trivial. % 40.15/40.37 (* end of lemma zenon_L158_ *) % 40.15/40.37 assert (zenon_L159_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H193 zenon_H1bd zenon_H1b2 zenon_H2ca zenon_H2cb zenon_H1c6 zenon_H1eb zenon_H218 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.37 apply (zenon_L78_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.37 apply (zenon_L157_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.37 exact (zenon_H1eb zenon_H1e6). % 40.15/40.37 apply (zenon_L158_); trivial. % 40.15/40.37 (* end of lemma zenon_L159_ *) % 40.15/40.37 assert (zenon_L160_ : (~((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e10)) = (e11)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2d1 zenon_H1ca zenon_H156 zenon_H280. % 40.15/40.37 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e11) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H2d1. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1ca. % 40.15/40.37 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d2]. % 40.15/40.37 cut (((op1 (e13) (e13)) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ]. % 40.15/40.37 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e13) (e13)) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H1cc. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1cd. % 40.15/40.37 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 40.15/40.37 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 40.15/40.37 congruence. % 40.15/40.37 apply (zenon_L79_); trivial. % 40.15/40.37 apply zenon_H1ce. apply refl_equal. % 40.15/40.37 apply zenon_H1ce. apply refl_equal. % 40.15/40.37 apply zenon_H2d2. apply sym_equal. exact zenon_H280. % 40.15/40.37 (* end of lemma zenon_L160_ *) % 40.15/40.37 assert (zenon_L161_ : ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1a8 zenon_H14f zenon_H1ca zenon_H280 zenon_H156 zenon_H2d3. % 40.15/40.37 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H27c | zenon_intro zenon_H27d ]. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H2d3. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H27c. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d4]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e11) (e11)) = (op1 (e11) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H2d4. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1a8. % 40.15/40.37 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2d1]. % 40.15/40.37 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d5]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H27c | zenon_intro zenon_H27d ]. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e11) = (op1 (e11) (e11)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H2d5. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H27c. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.15/40.37 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 apply zenon_H27d. apply refl_equal. % 40.15/40.37 apply zenon_H27d. apply refl_equal. % 40.15/40.37 apply (zenon_L160_); trivial. % 40.15/40.37 apply zenon_H27d. apply refl_equal. % 40.15/40.37 apply zenon_H27d. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L161_ *) % 40.15/40.37 assert (zenon_L162_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (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 (e11) (e11)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e10)) = (e11)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H2d6 zenon_H2c5 zenon_H2d3 zenon_H156 zenon_H280 zenon_H1a8 zenon_H259 zenon_H1db zenon_H2d7. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.37 apply (zenon_L80_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.37 apply (zenon_L81_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.37 apply (zenon_L82_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2d8 ]. % 40.15/40.37 exact (zenon_H2c5 zenon_H2c9). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H14f | zenon_intro zenon_H2d9 ]. % 40.15/40.37 apply (zenon_L161_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H20c | zenon_intro zenon_H2da ]. % 40.15/40.37 apply (zenon_L132_); trivial. % 40.15/40.37 exact (zenon_H2d7 zenon_H2da). % 40.15/40.37 (* end of lemma zenon_L162_ *) % 40.15/40.37 assert (zenon_L163_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2a1 zenon_H2d7 zenon_H259 zenon_H2d3 zenon_H2c5 zenon_H2d6 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H193 zenon_H1bd zenon_H1b2 zenon_H2ca zenon_H2cb zenon_H1c6 zenon_H1e7 zenon_H218 zenon_H275 zenon_H25d zenon_H269 zenon_H1f5 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H1da zenon_H28d zenon_H27f zenon_H280 zenon_H294 zenon_H19e zenon_H192 zenon_H214 zenon_H224 zenon_H297 zenon_H15f. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.15/40.37 apply (zenon_L106_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.15/40.37 apply (zenon_L162_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.15/40.37 apply (zenon_L106_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.15/40.37 apply (zenon_L76_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.15/40.37 exact (zenon_H19e zenon_H19a). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H281 | zenon_intro zenon_H295 ]. % 40.15/40.37 apply (zenon_L133_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 40.15/40.37 apply (zenon_L137_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H17f | zenon_intro zenon_H270 ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.37 apply (zenon_L78_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.37 apply (zenon_L157_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.37 apply (zenon_L93_); trivial. % 40.15/40.37 apply (zenon_L158_); trivial. % 40.15/40.37 apply (zenon_L124_); trivial. % 40.15/40.37 apply (zenon_L140_); trivial. % 40.15/40.37 (* end of lemma zenon_L163_ *) % 40.15/40.37 assert (zenon_L164_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (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 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1fb zenon_H275 zenon_H1f5 zenon_H26f zenon_H269 zenon_H25d zenon_H218 zenon_H2ca zenon_H2cb zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_H2a1 zenon_H15f zenon_H192 zenon_H19e zenon_H294 zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H224 zenon_H1a7 zenon_H1ac zenon_H2d6 zenon_H259 zenon_H280 zenon_H2d3 zenon_H2c5 zenon_H1df zenon_H214. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.15/40.37 apply (zenon_L159_); trivial. % 40.15/40.37 apply (zenon_L163_); trivial. % 40.15/40.37 apply (zenon_L123_); trivial. % 40.15/40.37 (* end of lemma zenon_L164_ *) % 40.15/40.37 assert (zenon_L165_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (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 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2df zenon_H223 zenon_H199 zenon_H1fb zenon_H275 zenon_H1f5 zenon_H26f zenon_H269 zenon_H25d zenon_H2ca zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_H2a1 zenon_H15f zenon_H192 zenon_H294 zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H224 zenon_H1a7 zenon_H1ac zenon_H2d6 zenon_H259 zenon_H2d3 zenon_H1df zenon_H214. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H280. zenon_intro zenon_H2e0. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2c5. zenon_intro zenon_H140. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H19a ]. % 40.15/40.37 exact (zenon_H2e1 zenon_H2cb). % 40.15/40.37 exact (zenon_H19e zenon_H19a). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H181. zenon_intro zenon_H180. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H185. zenon_intro zenon_H184. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H189. zenon_intro zenon_H188. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H18d. zenon_intro zenon_H18c. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1f4 ]. % 40.15/40.37 apply (zenon_L125_); trivial. % 40.15/40.37 apply (zenon_L155_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.15/40.37 apply (zenon_L106_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.15/40.37 apply (zenon_L76_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.15/40.37 exact (zenon_H19e zenon_H19a). % 40.15/40.37 apply (zenon_L156_); trivial. % 40.15/40.37 apply (zenon_L164_); trivial. % 40.15/40.37 (* end of lemma zenon_L165_ *) % 40.15/40.37 assert (zenon_L166_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2e2 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H280. zenon_intro zenon_H2e3. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2c5. zenon_intro zenon_H143. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H17c. zenon_intro zenon_H169. % 40.15/40.37 apply (zenon_L103_); trivial. % 40.15/40.37 (* end of lemma zenon_L166_ *) % 40.15/40.37 assert (zenon_L167_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2e4. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H14f. zenon_intro zenon_H2e5. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H14e. zenon_intro zenon_H147. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 (* end of lemma zenon_L167_ *) % 40.15/40.37 assert (zenon_L168_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2e6. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H14f. zenon_intro zenon_H2e7. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H14f. zenon_intro zenon_H14e. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 (* end of lemma zenon_L168_ *) % 40.15/40.37 assert (zenon_L169_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2e8. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H14f. zenon_intro zenon_H2e9. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H14e. zenon_intro zenon_H226. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 (* end of lemma zenon_L169_ *) % 40.15/40.37 assert (zenon_L170_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2ea. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H14f. zenon_intro zenon_H2eb. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H14e. zenon_intro zenon_H23e. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 (* end of lemma zenon_L170_ *) % 40.15/40.37 assert (zenon_L171_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2ec zenon_H156 zenon_H214. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H20e. zenon_intro zenon_H2ed. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H207. zenon_intro zenon_H243. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H213. zenon_intro zenon_H244. % 40.15/40.37 apply (zenon_L106_); trivial. % 40.15/40.37 (* end of lemma zenon_L171_ *) % 40.15/40.37 assert (zenon_L172_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2ee. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H20e. zenon_intro zenon_H2ef. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H207. zenon_intro zenon_H2f0. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.15/40.37 exact (zenon_H212 zenon_H20e). % 40.15/40.37 (* end of lemma zenon_L172_ *) % 40.15/40.37 assert (zenon_L173_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2f1. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H20e. zenon_intro zenon_H2f2. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H207. zenon_intro zenon_H2a8. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 (* end of lemma zenon_L173_ *) % 40.15/40.37 assert (zenon_L174_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2f3 zenon_H193 zenon_H156 zenon_H1a7. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H20e. zenon_intro zenon_H2f4. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H207. zenon_intro zenon_H2b3. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2ab. zenon_intro zenon_H2b4. % 40.15/40.37 apply (zenon_L146_); trivial. % 40.15/40.37 (* end of lemma zenon_L174_ *) % 40.15/40.37 assert (zenon_L175_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2f5 zenon_H269 zenon_H1a8 zenon_H156. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H26a. zenon_intro zenon_H2f6. % 40.15/40.37 apply (zenon_L123_); trivial. % 40.15/40.37 (* end of lemma zenon_L175_ *) % 40.15/40.37 assert (zenon_L176_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2f7. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H26a. zenon_intro zenon_H2f8. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2d7. zenon_intro zenon_H2bc. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.15/40.37 exact (zenon_H26e zenon_H26a). % 40.15/40.37 (* end of lemma zenon_L176_ *) % 40.15/40.37 assert (zenon_L177_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2f9 zenon_H269 zenon_H1a8 zenon_H156. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H26a. zenon_intro zenon_H2fa. % 40.15/40.37 apply (zenon_L123_); trivial. % 40.15/40.37 (* end of lemma zenon_L177_ *) % 40.15/40.37 assert (zenon_L178_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2fb. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H26a. zenon_intro zenon_H2fc. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2d7. zenon_intro zenon_H2c2. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H239. zenon_intro zenon_H23a. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 (* end of lemma zenon_L178_ *) % 40.15/40.37 assert (zenon_L179_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2fd. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H19a. zenon_intro zenon_H2fe. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H2e1. zenon_intro zenon_H139. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H138. zenon_intro zenon_H13a. % 40.15/40.37 exact (zenon_H13a zenon_H138). % 40.15/40.37 (* end of lemma zenon_L179_ *) % 40.15/40.37 assert (zenon_L180_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H2ff zenon_H199 zenon_H193 zenon_H156. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H19a. zenon_intro zenon_H300. % 40.15/40.37 apply (zenon_L77_); trivial. % 40.15/40.37 (* end of lemma zenon_L180_ *) % 40.15/40.37 assert (zenon_L181_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H301. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H19a. zenon_intro zenon_H302. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2e1. zenon_intro zenon_H140. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.15/40.37 exact (zenon_H19e zenon_H19a). % 40.15/40.37 (* end of lemma zenon_L181_ *) % 40.15/40.37 assert (zenon_L182_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H303 zenon_H199 zenon_H193 zenon_H156. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H19a. zenon_intro zenon_H304. % 40.15/40.37 apply (zenon_L77_); trivial. % 40.15/40.37 (* end of lemma zenon_L182_ *) % 40.15/40.37 assert (zenon_L183_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e11) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H305 zenon_H156 zenon_H1e7. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H18e. zenon_intro zenon_H306. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H18f. zenon_intro zenon_H147. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 40.15/40.37 apply (zenon_L116_); trivial. % 40.15/40.37 (* end of lemma zenon_L183_ *) % 40.15/40.37 assert (zenon_L184_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H307. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H18e. zenon_intro zenon_H308. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H18f. zenon_intro zenon_H14d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H14f. zenon_intro zenon_H14e. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 (* end of lemma zenon_L184_ *) % 40.15/40.37 assert (zenon_L185_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H309. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H18e. zenon_intro zenon_H30a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H18f. zenon_intro zenon_H226. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.15/40.37 exact (zenon_H17e zenon_H18e). % 40.15/40.37 (* end of lemma zenon_L185_ *) % 40.15/40.37 assert (zenon_L186_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H30b zenon_H2da zenon_H1c2. % 40.15/40.37 cut (((op1 (e11) (e11)) = (e13)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H30b. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H2da. % 40.15/40.37 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1c5]. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H27d. apply refl_equal. % 40.15/40.37 apply zenon_H1c5. apply sym_equal. exact zenon_H1c2. % 40.15/40.37 (* end of lemma zenon_L186_ *) % 40.15/40.37 assert (zenon_L187_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1c1 zenon_H1e6 zenon_H2ca. % 40.15/40.37 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 40.15/40.37 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H2ca. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1b5. % 40.15/40.37 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.37 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H30c]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H30c. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1c1. % 40.15/40.37 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H30d]. % 40.15/40.37 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H1b6. apply refl_equal. % 40.15/40.37 apply zenon_H30d. apply sym_equal. exact zenon_H1e6. % 40.15/40.37 apply zenon_H1b6. apply refl_equal. % 40.15/40.37 apply zenon_H1b6. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L187_ *) % 40.15/40.37 assert (zenon_L188_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> (~((e11) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H239 zenon_H1e7. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.15/40.37 apply (zenon_L80_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.15/40.37 apply (zenon_L81_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.15/40.37 apply (zenon_L82_); trivial. % 40.15/40.37 apply (zenon_L112_); trivial. % 40.15/40.37 (* end of lemma zenon_L188_ *) % 40.15/40.37 assert (zenon_L189_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H23c zenon_H163 zenon_H238 zenon_H2ca zenon_H1e6 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.15/40.37 apply (zenon_L72_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.15/40.37 exact (zenon_H238 zenon_H1f4). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.15/40.37 apply (zenon_L187_); trivial. % 40.15/40.37 apply (zenon_L188_); trivial. % 40.15/40.37 (* end of lemma zenon_L189_ *) % 40.15/40.37 assert (zenon_L190_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H30e zenon_H18e zenon_H2aa. % 40.15/40.37 cut (((op1 (e12) (e11)) = (e12)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H30e. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H18e. % 40.15/40.37 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 40.15/40.37 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H288. apply refl_equal. % 40.15/40.37 apply zenon_H30f. apply sym_equal. exact zenon_H2aa. % 40.15/40.37 (* end of lemma zenon_L190_ *) % 40.15/40.37 assert (zenon_L191_ : ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H18e zenon_H310 zenon_H214. % 40.15/40.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ]. % 40.15/40.37 cut (((e13) = (e13)) = ((e12) = (e13))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H214. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1e8. % 40.15/40.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.37 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H215]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((op1 (e12) (e11)) = (e12)) = ((e13) = (e12))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H215. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H18e. % 40.15/40.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H29b]. % 40.15/40.37 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H311 zenon_H310). % 40.15/40.37 apply zenon_H29b. apply refl_equal. % 40.15/40.37 apply zenon_H1e9. apply refl_equal. % 40.15/40.37 apply zenon_H1e9. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L191_ *) % 40.15/40.37 assert (zenon_L192_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H224 zenon_H214 zenon_H192 zenon_H156 zenon_H193 zenon_H312 zenon_H22f zenon_H199 zenon_H18f zenon_H2a9 zenon_H1c1 zenon_H2ca. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.15/40.37 apply (zenon_L106_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.15/40.37 apply (zenon_L76_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.15/40.37 apply (zenon_L77_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2cb | zenon_intro zenon_H313 ]. % 40.15/40.37 apply (zenon_L156_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H17f | zenon_intro zenon_H314 ]. % 40.15/40.37 exact (zenon_H18f zenon_H17f). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2aa | zenon_intro zenon_H1e6 ]. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 apply (zenon_L187_); trivial. % 40.15/40.37 (* end of lemma zenon_L192_ *) % 40.15/40.37 assert (zenon_L193_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (op1 (e12) (e12))) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H2da zenon_H30b zenon_H1e7 zenon_H1b2 zenon_H1a8 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H238 zenon_H163 zenon_H23c zenon_H224 zenon_H214 zenon_H192 zenon_H156 zenon_H193 zenon_H312 zenon_H22f zenon_H199 zenon_H18f zenon_H2a9 zenon_H2ca. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.37 apply (zenon_L78_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.37 apply (zenon_L186_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.37 apply (zenon_L189_); trivial. % 40.15/40.37 apply (zenon_L192_); trivial. % 40.15/40.37 (* end of lemma zenon_L193_ *) % 40.15/40.37 assert (zenon_L194_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H315 zenon_H223 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1df zenon_H2ca zenon_H224 zenon_H312 zenon_H199 zenon_H193 zenon_H192 zenon_H214 zenon_H1fb zenon_H28d zenon_H30e zenon_H1e7 zenon_H163 zenon_H156 zenon_H25d zenon_H1a8 zenon_H269 zenon_H26f zenon_H1f5 zenon_H275 zenon_H23c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H18e. zenon_intro zenon_H317. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H18f. zenon_intro zenon_H23e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H19a ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H28c | zenon_intro zenon_H318 ]. % 40.15/40.37 apply (zenon_L136_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H2da | zenon_intro zenon_H319 ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.15/40.37 apply (zenon_L78_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.15/40.37 apply (zenon_L186_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.15/40.37 apply (zenon_L189_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2cb | zenon_intro zenon_H313 ]. % 40.15/40.37 exact (zenon_H2e1 zenon_H2cb). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H17f | zenon_intro zenon_H314 ]. % 40.15/40.37 exact (zenon_H18f zenon_H17f). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H2aa | zenon_intro zenon_H1e6 ]. % 40.15/40.37 apply (zenon_L190_); trivial. % 40.15/40.37 apply (zenon_L187_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H310 | zenon_intro zenon_H1f4 ]. % 40.15/40.37 apply (zenon_L191_); trivial. % 40.15/40.37 exact (zenon_H238 zenon_H1f4). % 40.15/40.37 apply (zenon_L77_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H181. zenon_intro zenon_H180. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H185. zenon_intro zenon_H184. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H189. zenon_intro zenon_H188. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H18d. zenon_intro zenon_H18c. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1f4 ]. % 40.15/40.37 exact (zenon_H204 zenon_H1ca). % 40.15/40.37 exact (zenon_H238 zenon_H1f4). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2aa ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H28c | zenon_intro zenon_H318 ]. % 40.15/40.37 apply (zenon_L136_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H2da | zenon_intro zenon_H319 ]. % 40.15/40.37 apply (zenon_L193_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H310 | zenon_intro zenon_H1f4 ]. % 40.15/40.37 apply (zenon_L191_); trivial. % 40.15/40.37 exact (zenon_H238 zenon_H1f4). % 40.15/40.37 apply (zenon_L190_); trivial. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.15/40.37 apply (zenon_L72_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.15/40.37 exact (zenon_H238 zenon_H1f4). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.15/40.37 apply (zenon_L158_); trivial. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 apply (zenon_L112_); trivial. % 40.15/40.37 (* end of lemma zenon_L194_ *) % 40.15/40.37 assert (zenon_L195_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H31c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H2aa. zenon_intro zenon_H31d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H2a9. zenon_intro zenon_H243. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 (* end of lemma zenon_L195_ *) % 40.15/40.37 assert (zenon_L196_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H31e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H2aa. zenon_intro zenon_H31f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H2a9. zenon_intro zenon_H2f0. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 (* end of lemma zenon_L196_ *) % 40.15/40.37 assert (zenon_L197_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H320. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H2aa. zenon_intro zenon_H321. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 (* end of lemma zenon_L197_ *) % 40.15/40.37 assert (zenon_L198_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H322. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2aa. zenon_intro zenon_H323. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H2a9. zenon_intro zenon_H2b3. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 (* end of lemma zenon_L198_ *) % 40.15/40.37 assert (zenon_L199_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H156 zenon_H324 zenon_H325. % 40.15/40.37 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H15d | zenon_intro zenon_H15e ]. % 40.15/40.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H325. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H15d. % 40.15/40.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 40.15/40.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H326]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H326. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H156. % 40.15/40.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 40.15/40.37 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H327]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H15d | zenon_intro zenon_H15e ]. % 40.15/40.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H327. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H15d. % 40.15/40.37 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 40.15/40.37 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H328]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H328 zenon_H324). % 40.15/40.37 apply zenon_H15e. apply refl_equal. % 40.15/40.37 apply zenon_H15e. apply refl_equal. % 40.15/40.37 apply zenon_H167. apply refl_equal. % 40.15/40.37 apply zenon_H15e. apply refl_equal. % 40.15/40.37 apply zenon_H15e. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L199_ *) % 40.15/40.37 assert (zenon_L200_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H329 zenon_H32a zenon_H1a8 zenon_H25d zenon_H15f zenon_H156 zenon_H325. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H297. zenon_intro zenon_H32b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H1eb. zenon_intro zenon_H2b7. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H32a); [ zenon_intro zenon_H151 | zenon_intro zenon_H32c ]. % 40.15/40.37 exact (zenon_H2b8 zenon_H151). % 40.15/40.37 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25e | zenon_intro zenon_H32d ]. % 40.15/40.37 apply (zenon_L120_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H298 | zenon_intro zenon_H324 ]. % 40.15/40.37 apply (zenon_L140_); trivial. % 40.15/40.37 apply (zenon_L199_); trivial. % 40.15/40.37 (* end of lemma zenon_L200_ *) % 40.15/40.37 assert (zenon_L201_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H156 zenon_H32e zenon_H32f. % 40.15/40.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H19c | zenon_intro zenon_H19d ]. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H32f. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H19c. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H330]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e12) (e10)) = (op1 (e10) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H330. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H156. % 40.15/40.37 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 40.15/40.37 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H331]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H19c | zenon_intro zenon_H19d ]. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H331. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H19c. % 40.15/40.37 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 40.15/40.37 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H332]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H332 zenon_H32e). % 40.15/40.37 apply zenon_H19d. apply refl_equal. % 40.15/40.37 apply zenon_H19d. apply refl_equal. % 40.15/40.37 apply zenon_H167. apply refl_equal. % 40.15/40.37 apply zenon_H19d. apply refl_equal. % 40.15/40.37 apply zenon_H19d. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L201_ *) % 40.15/40.37 assert (zenon_L202_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H333 zenon_H2da zenon_H310. % 40.15/40.37 cut (((op1 (e11) (e11)) = (e13)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H333. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H2da. % 40.15/40.37 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H334]. % 40.15/40.37 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H27d. apply refl_equal. % 40.15/40.37 apply zenon_H334. apply sym_equal. exact zenon_H310. % 40.15/40.37 (* end of lemma zenon_L202_ *) % 40.15/40.37 assert (zenon_L203_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H297 zenon_H335 zenon_H214. % 40.15/40.37 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e9 ]. % 40.15/40.37 cut (((e13) = (e13)) = ((e12) = (e13))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H214. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H1e8. % 40.15/40.37 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1e9]. % 40.15/40.37 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H215]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((op1 (e12) (e13)) = (e12)) = ((e13) = (e12))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H215. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H297. % 40.15/40.37 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H29b]. % 40.15/40.37 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H336]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H336 zenon_H335). % 40.15/40.37 apply zenon_H29b. apply refl_equal. % 40.15/40.37 apply zenon_H1e9. apply refl_equal. % 40.15/40.37 apply zenon_H1e9. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L203_ *) % 40.15/40.37 assert (zenon_L204_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H337 zenon_H338 zenon_H32f zenon_H156 zenon_H333 zenon_H214. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H32e | zenon_intro zenon_H33a ]. % 40.15/40.37 apply (zenon_L201_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H310 | zenon_intro zenon_H33b ]. % 40.15/40.37 apply (zenon_L202_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H335 ]. % 40.15/40.37 exact (zenon_H1eb zenon_H1e6). % 40.15/40.37 apply (zenon_L203_); trivial. % 40.15/40.37 (* end of lemma zenon_L204_ *) % 40.15/40.37 assert (zenon_L205_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H33c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H297. zenon_intro zenon_H33d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H1eb. zenon_intro zenon_H2bf. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H1e6. zenon_intro zenon_H33e. % 40.15/40.37 exact (zenon_H33e zenon_H297). % 40.15/40.37 (* end of lemma zenon_L205_ *) % 40.15/40.37 assert (zenon_L206_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H33f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H297. zenon_intro zenon_H340. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H1eb. zenon_intro zenon_H2c2. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H239. zenon_intro zenon_H23a. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 (* end of lemma zenon_L206_ *) % 40.15/40.37 assert (zenon_L207_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H341. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H162. zenon_intro zenon_H342. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H179. zenon_intro zenon_H139. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H138. zenon_intro zenon_H13a. % 40.15/40.37 exact (zenon_H13a zenon_H138). % 40.15/40.37 (* end of lemma zenon_L207_ *) % 40.15/40.37 assert (zenon_L208_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H343 zenon_H156 zenon_H163. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H162. zenon_intro zenon_H344. % 40.15/40.37 apply (zenon_L72_); trivial. % 40.15/40.37 (* end of lemma zenon_L208_ *) % 40.15/40.37 assert (zenon_L209_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H345 zenon_H156 zenon_H163. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H162. zenon_intro zenon_H346. % 40.15/40.37 apply (zenon_L72_); trivial. % 40.15/40.37 (* end of lemma zenon_L209_ *) % 40.15/40.37 assert (zenon_L210_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H347. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H162. zenon_intro zenon_H348. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H179. zenon_intro zenon_H143. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H17c. zenon_intro zenon_H169. % 40.15/40.37 exact (zenon_H169 zenon_H162). % 40.15/40.37 (* end of lemma zenon_L210_ *) % 40.15/40.37 assert (zenon_L211_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H349 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H1f4. zenon_intro zenon_H34a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H204. zenon_intro zenon_H147. % 40.15/40.37 apply (zenon_L125_); trivial. % 40.15/40.37 (* end of lemma zenon_L211_ *) % 40.15/40.37 assert (zenon_L212_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H34b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H1f4. zenon_intro zenon_H34c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H204. zenon_intro zenon_H14d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H14f. zenon_intro zenon_H14e. % 40.15/40.37 exact (zenon_H14e zenon_H14f). % 40.15/40.37 (* end of lemma zenon_L212_ *) % 40.15/40.37 assert (zenon_L213_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H34d zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H1f4. zenon_intro zenon_H34e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H204. zenon_intro zenon_H226. % 40.15/40.37 apply (zenon_L125_); trivial. % 40.15/40.37 (* end of lemma zenon_L213_ *) % 40.15/40.37 assert (zenon_L214_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H34f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H1f4. zenon_intro zenon_H350. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H204. zenon_intro zenon_H23e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.15/40.37 exact (zenon_H238 zenon_H1f4). % 40.15/40.37 (* end of lemma zenon_L214_ *) % 40.15/40.37 assert (zenon_L215_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> ((e13) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H351 zenon_H156 zenon_H214. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1c1. zenon_intro zenon_H352. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H2b0. zenon_intro zenon_H243. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H213. zenon_intro zenon_H244. % 40.15/40.37 apply (zenon_L106_); trivial. % 40.15/40.37 (* end of lemma zenon_L215_ *) % 40.15/40.37 assert (zenon_L216_ : (((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13)))))))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H17d zenon_H1c1 zenon_H1f5 zenon_H25d zenon_H1a8 zenon_H156 zenon_H269 zenon_H26f zenon_H275. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H181. zenon_intro zenon_H180. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H183. zenon_intro zenon_H182. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H185. zenon_intro zenon_H184. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H189. zenon_intro zenon_H188. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H18d. zenon_intro zenon_H18c. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H204 | zenon_intro zenon_H1f4 ]. % 40.15/40.37 apply (zenon_L125_); trivial. % 40.15/40.37 apply (zenon_L96_); trivial. % 40.15/40.37 (* end of lemma zenon_L216_ *) % 40.15/40.37 assert (zenon_L217_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H353. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H1c1. zenon_intro zenon_H354. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H2b0. zenon_intro zenon_H2a8. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9. % 40.15/40.37 exact (zenon_H2a9 zenon_H2aa). % 40.15/40.37 (* end of lemma zenon_L217_ *) % 40.15/40.37 assert (zenon_L218_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H355. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H1c1. zenon_intro zenon_H356. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H2b0. zenon_intro zenon_H2b3. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2ab. zenon_intro zenon_H2b4. % 40.15/40.37 exact (zenon_H2b4 zenon_H1c1). % 40.15/40.37 (* end of lemma zenon_L218_ *) % 40.15/40.37 assert (zenon_L219_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H357. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H239. zenon_intro zenon_H358. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H23a. zenon_intro zenon_H2b7. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 (* end of lemma zenon_L219_ *) % 40.15/40.37 assert (zenon_L220_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H359. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H239. zenon_intro zenon_H35a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H23a. zenon_intro zenon_H2bc. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 (* end of lemma zenon_L220_ *) % 40.15/40.37 assert (zenon_L221_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H35b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H239. zenon_intro zenon_H35c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H23a. zenon_intro zenon_H2bf. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 (* end of lemma zenon_L221_ *) % 40.15/40.37 assert (zenon_L222_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H35d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H239. zenon_intro zenon_H35e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H23a. zenon_intro zenon_H2c2. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H239. zenon_intro zenon_H23a. % 40.15/40.37 exact (zenon_H23a zenon_H239). % 40.15/40.37 (* end of lemma zenon_L222_ *) % 40.15/40.37 assert (zenon_L223_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H115 zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H1b8 zenon_H2a0 zenon_H29c zenon_H29d zenon_H1cf zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H214 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H106 zenon_H128 zenon_H259 zenon_H249 zenon_H24b zenon_H246 zenon_H1e7 zenon_H266 zenon_Hd8 zenon_H261 zenon_H78 zenon_H3a zenon_H37 zenon_H223. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.15/40.37 apply (zenon_L61_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.15/40.37 apply (zenon_L62_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.15/40.37 apply (zenon_L63_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.15/40.37 apply (zenon_L64_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.15/40.37 apply (zenon_L65_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.15/40.37 apply (zenon_L66_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.15/40.37 apply (zenon_L109_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.15/40.37 apply (zenon_L113_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.15/40.37 apply (zenon_L114_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.15/40.37 apply (zenon_L122_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.15/40.37 apply (zenon_L127_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.15/40.37 apply (zenon_L128_); trivial. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.15/40.37 apply (zenon_L131_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.15/40.37 apply (zenon_L115_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H14a | zenon_intro zenon_H267 ]. % 40.15/40.37 apply (zenon_L116_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H24a | zenon_intro zenon_H268 ]. % 40.15/40.37 apply (zenon_L118_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H25e ]. % 40.15/40.37 apply (zenon_L144_); trivial. % 40.15/40.37 apply (zenon_L120_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.15/40.37 apply (zenon_L121_); trivial. % 40.15/40.37 apply (zenon_L25_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.15/40.37 apply (zenon_L145_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.15/40.37 apply (zenon_L147_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.15/40.37 apply (zenon_L148_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.15/40.37 apply (zenon_L149_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.15/40.37 apply (zenon_L150_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.15/40.37 apply (zenon_L151_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.15/40.37 apply (zenon_L152_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.15/40.37 apply (zenon_L153_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.15/40.37 apply (zenon_L165_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.15/40.37 apply (zenon_L166_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.15/40.37 apply (zenon_L167_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.15/40.37 apply (zenon_L168_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.15/40.37 apply (zenon_L169_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.15/40.37 apply (zenon_L170_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.15/40.37 apply (zenon_L171_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.15/40.37 apply (zenon_L172_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.15/40.37 apply (zenon_L173_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.15/40.37 apply (zenon_L174_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.15/40.37 apply (zenon_L175_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.15/40.37 apply (zenon_L176_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.15/40.37 apply (zenon_L177_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.15/40.37 apply (zenon_L178_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.15/40.37 apply (zenon_L179_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.15/40.37 apply (zenon_L180_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.15/40.37 apply (zenon_L181_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.15/40.37 apply (zenon_L182_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.15/40.37 apply (zenon_L183_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.15/40.37 apply (zenon_L184_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.15/40.37 apply (zenon_L185_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.15/40.37 apply (zenon_L194_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.15/40.37 apply (zenon_L195_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.15/40.37 apply (zenon_L196_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.15/40.37 apply (zenon_L197_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.15/40.37 apply (zenon_L198_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.15/40.37 apply (zenon_L200_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.15/40.37 apply (zenon_L204_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.15/40.37 apply (zenon_L205_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.15/40.37 apply (zenon_L206_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.15/40.37 apply (zenon_L207_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.15/40.37 apply (zenon_L208_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.15/40.37 apply (zenon_L209_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.15/40.37 apply (zenon_L210_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.15/40.37 apply (zenon_L211_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.15/40.37 apply (zenon_L212_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.15/40.37 apply (zenon_L213_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.15/40.37 apply (zenon_L214_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.15/40.37 apply (zenon_L215_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.15/40.37 apply (zenon_L122_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.15/40.37 apply (zenon_L216_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.15/40.37 apply (zenon_L128_); trivial. % 40.15/40.37 apply (zenon_L158_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.15/40.37 apply (zenon_L217_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.15/40.37 apply (zenon_L218_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.15/40.37 apply (zenon_L219_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.15/40.37 apply (zenon_L220_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.15/40.37 apply (zenon_L221_); trivial. % 40.15/40.37 apply (zenon_L222_); trivial. % 40.15/40.37 (* end of lemma zenon_L223_ *) % 40.15/40.37 assert (zenon_L224_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3a2 zenon_H3a3 zenon_H3a4. % 40.15/40.37 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3a2. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3a3. % 40.15/40.37 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 40.15/40.37 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H9a. apply refl_equal. % 40.15/40.37 apply zenon_H3a5. apply sym_equal. exact zenon_H3a4. % 40.15/40.37 (* end of lemma zenon_L224_ *) % 40.15/40.37 assert (zenon_L225_ : (~((e22) = (e22))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3a6. % 40.15/40.37 apply zenon_H3a6. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L225_ *) % 40.15/40.37 assert (zenon_L226_ : (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e21)) = (e21)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3a7 zenon_Hd8 zenon_H2b. % 40.15/40.37 cut (((op2 (e21) (e21)) = (e22)) = ((e21) = (e22))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3a7. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_Hd8. % 40.15/40.37 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.37 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H2a zenon_H2b). % 40.15/40.37 apply zenon_H3a6. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L226_ *) % 40.15/40.37 assert (zenon_L227_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hd8 zenon_H3a7 zenon_He8 zenon_Ha7 zenon_H3a zenon_H37. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a9 ]. % 40.15/40.37 apply (zenon_L224_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H2b | zenon_intro zenon_H3aa ]. % 40.15/40.37 apply (zenon_L226_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha8 ]. % 40.15/40.37 exact (zenon_He8 zenon_He6). % 40.15/40.37 apply (zenon_L33_); trivial. % 40.15/40.37 (* end of lemma zenon_L227_ *) % 40.15/40.37 assert (zenon_L228_ : (~((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e20) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e21)) = (e21)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3ab zenon_H6a zenon_H37 zenon_H2e. % 40.15/40.37 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e20) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3ab. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H6a. % 40.15/40.37 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f]. % 40.15/40.37 cut (((op2 (e23) (e23)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ]. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e23) (e23)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H6c. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H6d. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 40.15/40.37 congruence. % 40.15/40.37 apply (zenon_L9_); trivial. % 40.15/40.37 apply zenon_H6e. apply refl_equal. % 40.15/40.37 apply zenon_H6e. apply refl_equal. % 40.15/40.37 apply zenon_H2f. apply sym_equal. exact zenon_H2e. % 40.15/40.37 (* end of lemma zenon_L228_ *) % 40.15/40.37 assert (zenon_L229_ : ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3a zenon_H3ac zenon_H6a zenon_H2e zenon_H37 zenon_H3ad. % 40.15/40.37 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3ad. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3ae. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b0]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3b0. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3a. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3ab]. % 40.15/40.37 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b1]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e21) = (op2 (e22) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3b1. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3ae. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H3b2 zenon_H3ac). % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 apply (zenon_L228_); trivial. % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L229_ *) % 40.15/40.37 assert (zenon_L230_ : ((op2 (e21) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_Hd8 zenon_H3b3 zenon_H261. % 40.15/40.37 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H3b4 | zenon_intro zenon_H3b5 ]. % 40.15/40.37 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H261. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3b4. % 40.15/40.37 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 40.15/40.37 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b6]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3b6. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_Hd8. % 40.15/40.37 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 40.15/40.37 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 40.15/40.37 congruence. % 40.15/40.37 apply zenon_H3b5. apply refl_equal. % 40.15/40.37 apply zenon_H3b7. apply sym_equal. exact zenon_H3b3. % 40.15/40.37 apply zenon_H3b5. apply refl_equal. % 40.15/40.37 apply zenon_H3b5. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L230_ *) % 40.15/40.37 assert (zenon_L231_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H37 zenon_H3b8 zenon_H3b9. % 40.15/40.37 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H264 | zenon_intro zenon_H63 ]. % 40.15/40.37 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3b9. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H264. % 40.15/40.37 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 40.15/40.37 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3ba]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3ba. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H37. % 40.15/40.37 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 40.15/40.37 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3bb]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H264 | zenon_intro zenon_H63 ]. % 40.15/40.37 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3bb. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H264. % 40.15/40.37 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 40.15/40.37 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H3bc]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H3bc zenon_H3b8). % 40.15/40.37 apply zenon_H63. apply refl_equal. % 40.15/40.37 apply zenon_H63. apply refl_equal. % 40.15/40.37 apply zenon_H81. apply refl_equal. % 40.15/40.37 apply zenon_H63. apply refl_equal. % 40.15/40.37 apply zenon_H63. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L231_ *) % 40.15/40.37 assert (zenon_L232_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H75 zenon_H64 zenon_H3bd zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H44 zenon_H39 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H3ac zenon_H3a zenon_H261 zenon_Hd8 zenon_H37 zenon_H3b9. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.37 apply (zenon_L21_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.37 apply (zenon_L15_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.37 apply (zenon_L10_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H22 | zenon_intro zenon_H3be ]. % 40.15/40.37 apply (zenon_L38_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H2e | zenon_intro zenon_H3bf ]. % 40.15/40.37 apply (zenon_L229_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H3b8 ]. % 40.15/40.37 apply (zenon_L230_); trivial. % 40.15/40.37 apply (zenon_L231_); trivial. % 40.15/40.37 (* end of lemma zenon_L232_ *) % 40.15/40.37 assert (zenon_L233_ : (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 40.15/40.37 do 0 intro. intros zenon_H3c0 zenon_Hc0 zenon_H37 zenon_Hd8. % 40.15/40.37 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (e21) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3c0. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_Hc0. % 40.15/40.37 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 40.15/40.37 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e20) (e20)) (e20)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_Hc3. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_Hc4. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.37 congruence. % 40.15/40.37 apply (zenon_L12_); trivial. % 40.15/40.37 apply zenon_Hc5. apply refl_equal. % 40.15/40.37 apply zenon_Hc5. apply refl_equal. % 40.15/40.37 apply zenon_H262. apply sym_equal. exact zenon_Hd8. % 40.15/40.37 (* end of lemma zenon_L233_ *) % 40.15/40.37 assert (zenon_L234_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H42 zenon_H94 zenon_Hc0 zenon_Hd8 zenon_H37 zenon_H3c1. % 40.15/40.37 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3c1. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3ae. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c2]. % 40.15/40.37 congruence. % 40.15/40.37 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3c2. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H42. % 40.15/40.37 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 40.15/40.37 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c3]. % 40.15/40.37 congruence. % 40.15/40.37 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (e21)))). % 40.15/40.37 intro zenon_D_pnotp. % 40.15/40.37 apply zenon_H3c3. % 40.15/40.37 rewrite <- zenon_D_pnotp. % 40.15/40.37 exact zenon_H3ae. % 40.15/40.37 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.37 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 40.15/40.37 congruence. % 40.15/40.37 exact (zenon_H85 zenon_H94). % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 apply (zenon_L233_); trivial. % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 apply zenon_H3af. apply refl_equal. % 40.15/40.37 (* end of lemma zenon_L234_ *) % 40.15/40.37 assert (zenon_L235_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False). % 40.15/40.37 do 0 intro. intros zenon_Heb zenon_Hfa zenon_H96 zenon_H9c zenon_H42 zenon_H94 zenon_Hd8 zenon_H37 zenon_H3c1. % 40.15/40.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.37 exact (zenon_Hfa zenon_Hfc). % 40.15/40.37 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.37 apply (zenon_L28_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.37 apply (zenon_L29_); trivial. % 40.15/40.37 apply (zenon_L234_); trivial. % 40.15/40.37 (* end of lemma zenon_L235_ *) % 40.15/40.37 assert (zenon_L236_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> False). % 40.15/40.37 do 0 intro. intros zenon_H84 zenon_Hfa zenon_H96 zenon_H9c zenon_H3c1 zenon_Heb zenon_H3a8 zenon_H37 zenon_H3a zenon_Ha7 zenon_He8 zenon_Hd8 zenon_H3a7 zenon_H3a2 zenon_H75 zenon_H5f zenon_H5c zenon_H59 zenon_H48 zenon_H62 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_H78 zenon_Hbc zenon_H42 zenon_H44 zenon_Ha3 zenon_Ha2 zenon_H3ad zenon_H261 zenon_H3b9 zenon_H3bd zenon_H39 zenon_H4d zenon_H64 zenon_H3c4. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 40.15/40.37 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.15/40.37 apply (zenon_L227_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.15/40.37 apply (zenon_L232_); trivial. % 40.15/40.37 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.15/40.37 exact (zenon_H95 zenon_H2d). % 40.15/40.37 apply (zenon_L34_); trivial. % 40.15/40.37 apply (zenon_L235_); trivial. % 40.15/40.37 (* end of lemma zenon_L236_ *) % 40.15/40.37 assert (zenon_L237_ : (((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23)))))))))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 40.15/40.38 do 0 intro. intros zenon_He9 zenon_He8 zenon_Hd8. % 40.15/40.38 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He6 ]. % 40.15/40.38 exact (zenon_Hd5 zenon_Hd8). % 40.15/40.38 exact (zenon_He8 zenon_He6). % 40.15/40.38 (* end of lemma zenon_L237_ *) % 40.15/40.38 assert (zenon_L238_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59 zenon_H100 zenon_H6a. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.15/40.38 apply (zenon_L30_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.15/40.38 apply (zenon_L10_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.15/40.38 apply (zenon_L13_); trivial. % 40.15/40.38 apply (zenon_L50_); trivial. % 40.15/40.38 (* end of lemma zenon_L238_ *) % 40.15/40.38 assert (zenon_L239_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59 zenon_H100. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.38 apply (zenon_L21_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.38 apply (zenon_L15_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.38 apply (zenon_L10_); trivial. % 40.15/40.38 apply (zenon_L238_); trivial. % 40.15/40.38 (* end of lemma zenon_L239_ *) % 40.15/40.38 assert (zenon_L240_ : (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H105 zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H100. zenon_intro zenon_H10d. % 40.15/40.38 apply (zenon_L239_); trivial. % 40.15/40.38 (* end of lemma zenon_L240_ *) % 40.15/40.38 assert (zenon_L241_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> 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(e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3c7 zenon_H111 zenon_H223 zenon_H266 zenon_H1e7 zenon_H246 zenon_H24b zenon_H249 zenon_H259 zenon_H128 zenon_H106 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H214 zenon_H163 zenon_H338 zenon_H32f zenon_H333 zenon_H32a zenon_H15f zenon_H325 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1df zenon_H2ca zenon_H224 zenon_H312 zenon_H199 zenon_H193 zenon_H192 zenon_H1fb zenon_H28d zenon_H30e zenon_H23c zenon_H201 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H2a1 zenon_H294 zenon_H291 zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H2d6 zenon_H2d3 zenon_H1cf zenon_H29d zenon_H29c zenon_H2a0 zenon_H1b8 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1ec zenon_H206 zenon_H16b zenon_H158 zenon_H20d zenon_H1e0 zenon_H205 zenon_H35f zenon_H3c4 zenon_H3bd zenon_H3b9 zenon_H261 zenon_H3ad zenon_Hbc zenon_H78 zenon_Had zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H48 zenon_H5c zenon_H3a2 zenon_H3a7 zenon_Ha7 zenon_H3a8 zenon_Heb zenon_H3c1 zenon_H9c zenon_H96 zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.15/40.38 apply (zenon_L223_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.15/40.38 apply (zenon_L236_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.15/40.38 apply (zenon_L237_); trivial. % 40.15/40.38 apply (zenon_L240_); trivial. % 40.15/40.38 (* end of lemma zenon_L241_ *) % 40.15/40.38 assert (zenon_L242_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3ca. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_Ha3. zenon_intro zenon_H3cb. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3cb). zenon_intro zenon_Hfa. zenon_intro zenon_H3cc. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_Hde. zenon_intro zenon_He1. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 (* end of lemma zenon_L242_ *) % 40.15/40.38 assert (zenon_L243_ : ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H42 zenon_H3cd zenon_H37 zenon_H64. % 40.15/40.38 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H3ce | zenon_intro zenon_H3cf ]. % 40.15/40.38 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H64. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H3ce. % 40.15/40.38 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3cf]. % 40.15/40.38 cut (((op2 (e23) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3d0]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e23) (e23)) = (op2 (e23) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3d0. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H42. % 40.15/40.38 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 40.15/40.38 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3d1]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H3ce | zenon_intro zenon_H3cf ]. % 40.15/40.38 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3d1. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H3ce. % 40.15/40.38 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3cf]. % 40.15/40.38 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3d2]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H3d2 zenon_H3cd). % 40.15/40.38 apply zenon_H3cf. apply refl_equal. % 40.15/40.38 apply zenon_H3cf. apply refl_equal. % 40.15/40.38 apply (zenon_L12_); trivial. % 40.15/40.38 apply zenon_H3cf. apply refl_equal. % 40.15/40.38 apply zenon_H3cf. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L243_ *) % 40.15/40.38 assert (zenon_L244_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3d3 zenon_H42 zenon_H37 zenon_H64. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3d3). zenon_intro zenon_Ha3. zenon_intro zenon_H3d4. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_Hfa. zenon_intro zenon_H3d5. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3d5). zenon_intro zenon_H3cd. zenon_intro zenon_H3d6. % 40.15/40.38 apply (zenon_L243_); trivial. % 40.15/40.38 (* end of lemma zenon_L244_ *) % 40.15/40.38 assert (zenon_L245_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3d7. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3d7). zenon_intro zenon_H3d9. zenon_intro zenon_H3d8. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H38. zenon_intro zenon_H3da. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3da). zenon_intro zenon_H3dc. zenon_intro zenon_H3db. % 40.15/40.38 exact (zenon_H3db zenon_H3d9). % 40.15/40.38 (* end of lemma zenon_L245_ *) % 40.15/40.38 assert (zenon_L246_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3dd zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3dd). zenon_intro zenon_H3d9. zenon_intro zenon_H3de. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3de). zenon_intro zenon_H38. zenon_intro zenon_H3df. % 40.15/40.38 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.15/40.38 (* end of lemma zenon_L246_ *) % 40.15/40.38 assert (zenon_L247_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3e0 zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e0). zenon_intro zenon_H3d9. zenon_intro zenon_H3e1. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e1). zenon_intro zenon_H38. zenon_intro zenon_H3e2. % 40.15/40.38 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.15/40.38 (* end of lemma zenon_L247_ *) % 40.15/40.38 assert (zenon_L248_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3e3 zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e3). zenon_intro zenon_H3d9. zenon_intro zenon_H3e4. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e4). zenon_intro zenon_H38. zenon_intro zenon_H3e5. % 40.15/40.38 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.15/40.38 (* end of lemma zenon_L248_ *) % 40.15/40.38 assert (zenon_L249_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3e6. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e6). zenon_intro zenon_H3a3. zenon_intro zenon_H3e7. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3e8. zenon_intro zenon_H15. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16. % 40.15/40.38 exact (zenon_H16 zenon_H14). % 40.15/40.38 (* end of lemma zenon_L249_ *) % 40.15/40.38 assert (zenon_L250_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3e9. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3a3. zenon_intro zenon_H3ea. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H3e8. zenon_intro zenon_H19. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 40.15/40.38 exact (zenon_H3eb zenon_H3a3). % 40.15/40.38 (* end of lemma zenon_L250_ *) % 40.15/40.38 assert (zenon_L251_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e21))) -> False). % 40.15/40.38 do 0 intro. intros zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb8. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H79 | zenon_intro zenon_Hba ]. % 40.15/40.38 apply (zenon_L25_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hbb ]. % 40.15/40.38 apply (zenon_L33_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hae | zenon_intro zenon_H6a ]. % 40.15/40.38 apply (zenon_L34_); trivial. % 40.15/40.38 exact (zenon_Hb8 zenon_H6a). % 40.15/40.38 (* end of lemma zenon_L251_ *) % 40.15/40.38 assert (zenon_L252_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H31 zenon_H3ed zenon_H32. % 40.15/40.38 cut (((op2 (e22) (e22)) = (e20)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H31. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H3ed. % 40.15/40.38 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 40.15/40.38 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H30. apply refl_equal. % 40.15/40.38 apply zenon_H33. apply sym_equal. exact zenon_H32. % 40.15/40.38 (* end of lemma zenon_L252_ *) % 40.15/40.38 assert (zenon_L253_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H5f zenon_H3ed zenon_H31 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H58 zenon_H59. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.15/40.38 apply (zenon_L252_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.15/40.38 apply (zenon_L10_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.15/40.38 apply (zenon_L13_); trivial. % 40.15/40.38 apply (zenon_L17_); trivial. % 40.15/40.38 (* end of lemma zenon_L253_ *) % 40.15/40.38 assert (zenon_L254_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e22) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H37 zenon_Hfc zenon_H3ee. % 40.15/40.38 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha4 ]. % 40.15/40.38 cut (((e23) = (e23)) = ((e22) = (e23))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ee. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H129. % 40.15/40.38 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.38 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((e23) = (op2 (e20) (e20))) = ((e23) = (e22))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ef. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H37. % 40.15/40.38 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 40.15/40.38 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 exact (zenon_Hfa zenon_Hfc). % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L254_ *) % 40.15/40.38 assert (zenon_L255_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H9c zenon_Hf1 zenon_H3ed zenon_Hc0. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e22))) = (e22)) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H9c. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hf1. % 40.15/40.38 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3f0]. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3f1]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3f1. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H9f. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3f2]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3f3]. % 40.15/40.38 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3a6. apply refl_equal. % 40.15/40.38 apply zenon_H3f3. apply sym_equal. exact zenon_H3ed. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_H3f0. apply sym_equal. exact zenon_Hc0. % 40.15/40.38 (* end of lemma zenon_L255_ *) % 40.15/40.38 assert (zenon_L256_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_H3ed zenon_H31 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59 zenon_H100. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.15/40.38 apply (zenon_L21_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.15/40.38 apply (zenon_L15_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.15/40.38 apply (zenon_L10_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.15/40.38 apply (zenon_L252_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.15/40.38 apply (zenon_L10_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.15/40.38 apply (zenon_L13_); trivial. % 40.15/40.38 apply (zenon_L50_); trivial. % 40.15/40.38 (* end of lemma zenon_L256_ *) % 40.15/40.38 assert (zenon_L257_ : (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H105 zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_H3ed zenon_H31 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H100. zenon_intro zenon_H10d. % 40.15/40.38 apply (zenon_L256_); trivial. % 40.15/40.38 (* end of lemma zenon_L257_ *) % 40.15/40.38 assert (zenon_L258_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3f4 zenon_H111 zenon_Hb9 zenon_Had zenon_Ha7 zenon_H78 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_H31 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H3a3. zenon_intro zenon_H3f5. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3e8. zenon_intro zenon_H1c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H3ed. zenon_intro zenon_Ha1. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H9d ]. % 40.15/40.38 exact (zenon_H3f6 zenon_H3ed). % 40.15/40.38 exact (zenon_Ha1 zenon_H9d). % 40.15/40.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H58 ]. % 40.15/40.38 apply (zenon_L251_); trivial. % 40.15/40.38 apply (zenon_L253_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.15/40.38 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.38 apply (zenon_L254_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.38 apply (zenon_L28_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.38 exact (zenon_Ha1 zenon_H9d). % 40.15/40.38 apply (zenon_L255_); trivial. % 40.15/40.38 apply (zenon_L257_); trivial. % 40.15/40.38 (* end of lemma zenon_L258_ *) % 40.15/40.38 assert (zenon_L259_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3f7 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H3a3. zenon_intro zenon_H3f8. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3f8). zenon_intro zenon_H3e8. zenon_intro zenon_H1f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hb3. zenon_intro zenon_H83. % 40.15/40.38 apply (zenon_L36_); trivial. % 40.15/40.38 (* end of lemma zenon_L259_ *) % 40.15/40.38 assert (zenon_L260_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3f9. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H2b. zenon_intro zenon_H3fa. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H2a. zenon_intro zenon_H23. % 40.15/40.38 exact (zenon_H2a zenon_H2b). % 40.15/40.38 (* end of lemma zenon_L260_ *) % 40.15/40.38 assert (zenon_L261_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3fb. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H2b. zenon_intro zenon_H3fc. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3fc). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 40.15/40.38 exact (zenon_H2a zenon_H2b). % 40.15/40.38 (* end of lemma zenon_L261_ *) % 40.15/40.38 assert (zenon_L262_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3fd. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2b. zenon_intro zenon_H3fe. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3fe). zenon_intro zenon_H2a. zenon_intro zenon_H113. % 40.15/40.38 exact (zenon_H2a zenon_H2b). % 40.15/40.38 (* end of lemma zenon_L262_ *) % 40.15/40.38 assert (zenon_L263_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3ff. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H2b. zenon_intro zenon_H400. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H2a. zenon_intro zenon_H131. % 40.15/40.38 exact (zenon_H2a zenon_H2b). % 40.15/40.38 (* end of lemma zenon_L263_ *) % 40.15/40.38 assert (zenon_L264_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> ((e23) = (op2 (e20) (e20))) -> (~((e22) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H401 zenon_H37 zenon_H3ee. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H401). zenon_intro zenon_He6. zenon_intro zenon_H402. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_Hd5. zenon_intro zenon_H134. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Hfc. zenon_intro zenon_H135. % 40.15/40.38 apply (zenon_L254_); trivial. % 40.15/40.38 (* end of lemma zenon_L264_ *) % 40.15/40.38 assert (zenon_L265_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H403. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_He6. zenon_intro zenon_H404. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_Hd5. zenon_intro zenon_H3c9. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.15/40.38 exact (zenon_He8 zenon_He6). % 40.15/40.38 (* end of lemma zenon_L265_ *) % 40.15/40.38 assert (zenon_L266_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H405. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H405). zenon_intro zenon_He6. zenon_intro zenon_H406. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H406). zenon_intro zenon_Hd5. zenon_intro zenon_H3cc. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_Hde. zenon_intro zenon_He1. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 (* end of lemma zenon_L266_ *) % 40.15/40.38 assert (zenon_L267_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H407 zenon_H42 zenon_H37 zenon_H64. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_He6. zenon_intro zenon_H408. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H408). zenon_intro zenon_Hd5. zenon_intro zenon_H3d5. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3d5). zenon_intro zenon_H3cd. zenon_intro zenon_H3d6. % 40.15/40.38 apply (zenon_L243_); trivial. % 40.15/40.38 (* end of lemma zenon_L267_ *) % 40.15/40.38 assert (zenon_L268_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H409 zenon_Ha7 zenon_H3a zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H409). zenon_intro zenon_Ha8. zenon_intro zenon_H40a. % 40.15/40.38 apply (zenon_L33_); trivial. % 40.15/40.38 (* end of lemma zenon_L268_ *) % 40.15/40.38 assert (zenon_L269_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H40b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H40b). zenon_intro zenon_Ha8. zenon_intro zenon_H40c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H40c). zenon_intro zenon_H40d. zenon_intro zenon_H3df. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H40e. zenon_intro zenon_Hac. % 40.15/40.38 exact (zenon_Hac zenon_Ha8). % 40.15/40.38 (* end of lemma zenon_L269_ *) % 40.15/40.38 assert (zenon_L270_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H40f zenon_Ha7 zenon_H3a zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H40f). zenon_intro zenon_Ha8. zenon_intro zenon_H410. % 40.15/40.38 apply (zenon_L33_); trivial. % 40.15/40.38 (* end of lemma zenon_L270_ *) % 40.15/40.38 assert (zenon_L271_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H411. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H411). zenon_intro zenon_Ha8. zenon_intro zenon_H412. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H412). zenon_intro zenon_H40d. zenon_intro zenon_H3e5. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H127. zenon_intro zenon_H12b. % 40.15/40.38 exact (zenon_H12b zenon_H127). % 40.15/40.38 (* end of lemma zenon_L271_ *) % 40.15/40.38 assert (zenon_L272_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H413. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H413). zenon_intro zenon_H9d. zenon_intro zenon_H414. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H414). zenon_intro zenon_H3f6. zenon_intro zenon_H15. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16. % 40.15/40.38 exact (zenon_H16 zenon_H14). % 40.15/40.38 (* end of lemma zenon_L272_ *) % 40.15/40.38 assert (zenon_L273_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H415 zenon_H9c zenon_H42 zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H415). zenon_intro zenon_H9d. zenon_intro zenon_H416. % 40.15/40.38 apply (zenon_L29_); trivial. % 40.15/40.38 (* end of lemma zenon_L273_ *) % 40.15/40.38 assert (zenon_L274_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H417. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H9d. zenon_intro zenon_H418. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_H3f6. zenon_intro zenon_H1c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H3ed. zenon_intro zenon_Ha1. % 40.15/40.38 exact (zenon_Ha1 zenon_H9d). % 40.15/40.38 (* end of lemma zenon_L274_ *) % 40.15/40.38 assert (zenon_L275_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H419 zenon_H9c zenon_H42 zenon_H37. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H419). zenon_intro zenon_H9d. zenon_intro zenon_H41a. % 40.15/40.38 apply (zenon_L29_); trivial. % 40.15/40.38 (* end of lemma zenon_L275_ *) % 40.15/40.38 assert (zenon_L276_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> ((e23) = (op2 (e20) (e20))) -> (~((e21) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H41b zenon_H37 zenon_H128. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H94. zenon_intro zenon_H41c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H95. zenon_intro zenon_H23. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25. % 40.15/40.38 apply (zenon_L115_); trivial. % 40.15/40.38 (* end of lemma zenon_L276_ *) % 40.15/40.38 assert (zenon_L277_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H41d. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H41d). zenon_intro zenon_H94. zenon_intro zenon_H41e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H41e). zenon_intro zenon_H95. zenon_intro zenon_H29. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 40.15/40.38 exact (zenon_H2a zenon_H2b). % 40.15/40.38 (* end of lemma zenon_L277_ *) % 40.15/40.38 assert (zenon_L278_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H41f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H41f). zenon_intro zenon_H94. zenon_intro zenon_H420. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H420). zenon_intro zenon_H95. zenon_intro zenon_H113. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H2d. zenon_intro zenon_H85. % 40.15/40.38 exact (zenon_H85 zenon_H94). % 40.15/40.38 (* end of lemma zenon_L278_ *) % 40.15/40.38 assert (zenon_L279_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H94 zenon_H3b3 zenon_H3ad. % 40.15/40.38 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ad. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H3ae. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b0]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3b0. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H94. % 40.15/40.38 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b7]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3af. apply refl_equal. % 40.15/40.38 apply zenon_H3b7. apply sym_equal. exact zenon_H3b3. % 40.15/40.38 apply zenon_H3af. apply refl_equal. % 40.15/40.38 apply zenon_H3af. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L279_ *) % 40.15/40.38 assert (zenon_L280_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3bd zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H62 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H126 zenon_Hbc zenon_H6a zenon_H3ac zenon_H3a zenon_H3ad zenon_H94 zenon_H37 zenon_H3b9. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H22 | zenon_intro zenon_H3be ]. % 40.15/40.38 apply (zenon_L54_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H2e | zenon_intro zenon_H3bf ]. % 40.15/40.38 apply (zenon_L229_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H3b8 ]. % 40.15/40.38 apply (zenon_L279_); trivial. % 40.15/40.38 apply (zenon_L231_); trivial. % 40.15/40.38 (* end of lemma zenon_L280_ *) % 40.15/40.38 assert (zenon_L281_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H12c zenon_H7f zenon_H3b9 zenon_H94 zenon_H3ad zenon_H3ac zenon_H6a zenon_Hbc zenon_H126 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb4 zenon_H3bd zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H128. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.15/40.38 apply (zenon_L26_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.15/40.38 exact (zenon_H126 zenon_H58). % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.15/40.38 apply (zenon_L280_); trivial. % 40.15/40.38 apply (zenon_L57_); trivial. % 40.15/40.38 (* end of lemma zenon_L281_ *) % 40.15/40.38 assert (zenon_L282_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3c4 zenon_H3a3 zenon_H3a2 zenon_H128 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_H3bd zenon_Hb4 zenon_Ha5 zenon_H62 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H126 zenon_Hbc zenon_H6a zenon_H3ad zenon_H94 zenon_H3b9 zenon_H7f zenon_H12c zenon_H95 zenon_Had zenon_H3a zenon_H37. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.15/40.38 apply (zenon_L224_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.15/40.38 apply (zenon_L281_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.15/40.38 exact (zenon_H95 zenon_H2d). % 40.15/40.38 apply (zenon_L34_); trivial. % 40.15/40.38 (* end of lemma zenon_L282_ *) % 40.15/40.38 assert (zenon_L283_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H421 zenon_H3a4 zenon_Hb4. % 40.15/40.38 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ]. % 40.15/40.38 cut (((e21) = (e21)) = ((e20) = (e21))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_Hb4. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hb5. % 40.15/40.38 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 40.15/40.38 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e22) (e20)) = (e20)) = ((e21) = (e20))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_Hb7. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H421. % 40.15/40.38 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H422]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H422 zenon_H3a4). % 40.15/40.38 apply zenon_H40. apply refl_equal. % 40.15/40.38 apply zenon_Hb6. apply refl_equal. % 40.15/40.38 apply zenon_Hb6. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L283_ *) % 40.15/40.38 assert (zenon_L284_ : (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H423 zenon_H94 zenon_H424. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e22)) = ((e20) = (e22))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H423. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H94. % 40.15/40.38 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H425]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H425 zenon_H424). % 40.15/40.38 apply zenon_H3a6. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L284_ *) % 40.15/40.38 assert (zenon_L285_ : (~((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H426 zenon_H37. % 40.15/40.38 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 40.15/40.38 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H40. apply refl_equal. % 40.15/40.38 exact (zenon_H427 zenon_H37). % 40.15/40.38 (* end of lemma zenon_L285_ *) % 40.15/40.38 assert (zenon_L286_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e20)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H428 zenon_H117 zenon_H37 zenon_H429. % 40.15/40.38 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H428. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H117. % 40.15/40.38 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 40.15/40.38 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42b]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H42b. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H7b. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H426]. % 40.15/40.38 congruence. % 40.15/40.38 apply (zenon_L285_); trivial. % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply zenon_H42a. apply sym_equal. exact zenon_H429. % 40.15/40.38 (* end of lemma zenon_L286_ *) % 40.15/40.38 assert (zenon_L287_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))) -> (~((op2 (e23) (e21)) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H84 zenon_H126 zenon_H6a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H58 ]. % 40.15/40.38 exact (zenon_Hb8 zenon_H6a). % 40.15/40.38 exact (zenon_H126 zenon_H58). % 40.15/40.38 (* end of lemma zenon_L287_ *) % 40.15/40.38 assert (zenon_L288_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H37 zenon_H42c zenon_H42d. % 40.15/40.38 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H42d. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H9f. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42e]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H42e. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H37. % 40.15/40.38 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 40.15/40.38 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H42f]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H42f. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H9f. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H430]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H430 zenon_H42c). % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_H81. apply refl_equal. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L288_ *) % 40.15/40.38 assert (zenon_L289_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((e22) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H94 zenon_H431 zenon_H3ee. % 40.15/40.38 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha4 ]. % 40.15/40.38 cut (((e23) = (e23)) = ((e22) = (e23))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ee. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H129. % 40.15/40.38 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.38 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e22)) = ((e23) = (e22))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ef. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H94. % 40.15/40.38 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H432]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H432 zenon_H431). % 40.15/40.38 apply zenon_H3a6. apply refl_equal. % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L289_ *) % 40.15/40.38 assert (zenon_L290_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H37 zenon_H433 zenon_H434. % 40.15/40.38 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H434. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H7b. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H435]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H435. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H37. % 40.15/40.38 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 40.15/40.38 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H436]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H436. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H7b. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H437]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H437 zenon_H433). % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply zenon_H81. apply refl_equal. % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L290_ *) % 40.15/40.38 assert (zenon_L291_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H438 zenon_H42 zenon_H94 zenon_Hc0 zenon_Hce zenon_H37. % 40.15/40.38 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H438. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H42. % 40.15/40.38 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 40.15/40.38 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c3]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (e21)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3c3. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H3ae. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H85 zenon_H94). % 40.15/40.38 apply zenon_H3af. apply refl_equal. % 40.15/40.38 apply zenon_H3af. apply refl_equal. % 40.15/40.38 apply (zenon_L41_); trivial. % 40.15/40.38 (* end of lemma zenon_L291_ *) % 40.15/40.38 assert (zenon_L292_ : (~((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e23)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H439 zenon_H43a. % 40.15/40.38 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43b]. % 40.15/40.38 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3a6. apply refl_equal. % 40.15/40.38 apply zenon_H43b. apply sym_equal. exact zenon_H43a. % 40.15/40.38 (* end of lemma zenon_L292_ *) % 40.15/40.38 assert (zenon_L293_ : ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_Hf3 zenon_H43a zenon_H43c zenon_Hd0. % 40.15/40.38 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_Hd0. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hb0. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43d]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H43d. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hf3. % 40.15/40.38 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43e]. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43f]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H43f. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hb0. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H439]. % 40.15/40.38 congruence. % 40.15/40.38 apply (zenon_L292_); trivial. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 apply zenon_H43e. apply sym_equal. exact zenon_H43c. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L293_ *) % 40.15/40.38 assert (zenon_L294_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H440 zenon_H441 zenon_H442 zenon_H3a zenon_Had zenon_H37 zenon_Hc0 zenon_H94 zenon_H42 zenon_H438 zenon_Hf3 zenon_H43c zenon_Hd0. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H429 | zenon_intro zenon_H443 ]. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H442. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hf3. % 40.15/40.38 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H444]. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H445]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e20)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H445. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H9f. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 40.15/40.38 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H446]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 40.15/40.38 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3a6. apply refl_equal. % 40.15/40.38 apply zenon_H42a. apply sym_equal. exact zenon_H429. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_Ha0. apply refl_equal. % 40.15/40.38 apply zenon_H444. apply sym_equal. exact zenon_H441. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_Hae | zenon_intro zenon_H447 ]. % 40.15/40.38 apply (zenon_L34_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H447); [ zenon_intro zenon_Hce | zenon_intro zenon_H43a ]. % 40.15/40.38 apply (zenon_L291_); trivial. % 40.15/40.38 apply (zenon_L293_); trivial. % 40.15/40.38 (* end of lemma zenon_L294_ *) % 40.15/40.38 assert (zenon_L295_ : ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_Hf3 zenon_H43a zenon_H441 zenon_H448. % 40.15/40.38 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H448. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hb0. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H449]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H449. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hf3. % 40.15/40.38 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H444]. % 40.15/40.38 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H43f]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hb1 ]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H43f. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hb0. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H439]. % 40.15/40.38 congruence. % 40.15/40.38 apply (zenon_L292_); trivial. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 apply zenon_H444. apply sym_equal. exact zenon_H441. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 apply zenon_Hb1. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L295_ *) % 40.15/40.38 assert (zenon_L296_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H39 zenon_H57 zenon_H127. % 40.15/40.38 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H39. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H57. % 40.15/40.38 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H44a]. % 40.15/40.38 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3e. apply refl_equal. % 40.15/40.38 apply zenon_H44a. apply sym_equal. exact zenon_H127. % 40.15/40.38 (* end of lemma zenon_L296_ *) % 40.15/40.38 assert (zenon_L297_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H44b zenon_Hc0 zenon_Hf1 zenon_H9c zenon_H95 zenon_He1 zenon_Hf3 zenon_H43a zenon_H448. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.15/40.38 apply (zenon_L255_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.15/40.38 exact (zenon_H95 zenon_H2d). % 40.15/40.38 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 apply (zenon_L295_); trivial. % 40.15/40.38 (* end of lemma zenon_L297_ *) % 40.15/40.38 assert (zenon_L298_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H44e zenon_H42d zenon_H3ee zenon_H57 zenon_H39 zenon_H440 zenon_H442 zenon_H3a zenon_Had zenon_H37 zenon_H94 zenon_H42 zenon_H438 zenon_Hd0 zenon_H434 zenon_H44f zenon_H44b zenon_Hc0 zenon_Hf1 zenon_H9c zenon_H95 zenon_He1 zenon_Hf3 zenon_H448. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_H42c | zenon_intro zenon_H450 ]. % 40.15/40.38 apply (zenon_L288_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H431 | zenon_intro zenon_H451 ]. % 40.15/40.38 apply (zenon_L289_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H441 | zenon_intro zenon_H43a ]. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_H433 | zenon_intro zenon_H452 ]. % 40.15/40.38 apply (zenon_L290_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H452); [ zenon_intro zenon_H43c | zenon_intro zenon_H453 ]. % 40.15/40.38 apply (zenon_L294_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H453); [ zenon_intro zenon_H43a | zenon_intro zenon_H127 ]. % 40.15/40.38 apply (zenon_L295_); trivial. % 40.15/40.38 apply (zenon_L296_); trivial. % 40.15/40.38 apply (zenon_L297_); trivial. % 40.15/40.38 (* end of lemma zenon_L298_ *) % 40.15/40.38 assert (zenon_L299_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H454 zenon_H94 zenon_Hde. % 40.15/40.38 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H454. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H94. % 40.15/40.38 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 40.15/40.38 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3af. apply refl_equal. % 40.15/40.38 apply zenon_He0. apply sym_equal. exact zenon_Hde. % 40.15/40.38 (* end of lemma zenon_L299_ *) % 40.15/40.38 assert (zenon_L300_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H57 zenon_H455 zenon_H456. % 40.15/40.38 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ]. % 40.15/40.38 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H456. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H3d. % 40.15/40.38 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.38 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H457]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H457. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H57. % 40.15/40.38 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H458]. % 40.15/40.38 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3e. apply refl_equal. % 40.15/40.38 apply zenon_H458. apply sym_equal. exact zenon_H455. % 40.15/40.38 apply zenon_H3e. apply refl_equal. % 40.15/40.38 apply zenon_H3e. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L300_ *) % 40.15/40.38 assert (zenon_L301_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H12c zenon_H7f zenon_H37 zenon_H126 zenon_H456 zenon_H455 zenon_H12b. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.15/40.38 apply (zenon_L26_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.15/40.38 exact (zenon_H126 zenon_H58). % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.15/40.38 apply (zenon_L300_); trivial. % 40.15/40.38 exact (zenon_H12b zenon_H127). % 40.15/40.38 (* end of lemma zenon_L301_ *) % 40.15/40.38 assert (zenon_L302_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.15/40.38 do 0 intro. intros zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59 zenon_H100 zenon_H57. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H79 | zenon_intro zenon_Hba ]. % 40.15/40.38 apply (zenon_L25_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hbb ]. % 40.15/40.38 apply (zenon_L33_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hae | zenon_intro zenon_H6a ]. % 40.15/40.38 apply (zenon_L34_); trivial. % 40.15/40.38 apply (zenon_L50_); trivial. % 40.15/40.38 (* end of lemma zenon_L302_ *) % 40.15/40.38 assert (zenon_L303_ : (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H105 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59 zenon_H57. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H100. zenon_intro zenon_H10d. % 40.15/40.38 apply (zenon_L302_); trivial. % 40.15/40.38 (* end of lemma zenon_L303_ *) % 40.15/40.38 assert (zenon_L304_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H438 zenon_H42 zenon_H94 zenon_Hce zenon_H37. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.38 apply (zenon_L254_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.38 apply (zenon_L28_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.38 apply (zenon_L29_); trivial. % 40.15/40.38 apply (zenon_L291_); trivial. % 40.15/40.38 (* end of lemma zenon_L304_ *) % 40.15/40.38 assert (zenon_L305_ : (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> False). % 40.15/40.38 do 0 intro. intros zenon_H3ee zenon_H96 zenon_H42 zenon_H9c zenon_H438 zenon_H94 zenon_Heb zenon_H459 zenon_Hb9 zenon_H59 zenon_Had zenon_Ha7 zenon_H3a zenon_H78 zenon_H105 zenon_H7f zenon_H126 zenon_H456 zenon_H12c zenon_H37 zenon_Hda zenon_H128 zenon_H6a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H100. zenon_intro zenon_H10d. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H45b. zenon_intro zenon_H45a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H45d. zenon_intro zenon_H45c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H45f. zenon_intro zenon_H45e. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_H460 | zenon_intro zenon_Hce ]. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H45e); [ zenon_intro zenon_H12b | zenon_intro zenon_H127 ]. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.15/40.38 apply (zenon_L44_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.15/40.38 apply (zenon_L301_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.15/40.38 exact (zenon_H460 zenon_H441). % 40.15/40.38 apply (zenon_L303_); trivial. % 40.15/40.38 apply (zenon_L56_); trivial. % 40.15/40.38 apply (zenon_L304_); trivial. % 40.15/40.38 (* end of lemma zenon_L305_ *) % 40.15/40.38 assert (zenon_L306_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((e21) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H463 zenon_H111 zenon_H464 zenon_H64 zenon_H423 zenon_H428 zenon_H465 zenon_H3a2 zenon_Hbc zenon_Hb4 zenon_Ha5 zenon_H62 zenon_H48 zenon_H4d zenon_H5c zenon_H3ad zenon_H3b9 zenon_H3bd zenon_H3c4 zenon_H44e zenon_H44b zenon_H434 zenon_H440 zenon_Hd0 zenon_H442 zenon_H448 zenon_H39 zenon_H44f zenon_H42d zenon_H454 zenon_H3ee zenon_H96 zenon_H42 zenon_H9c zenon_H438 zenon_Heb zenon_H459 zenon_Hb9 zenon_H59 zenon_Had zenon_Ha7 zenon_H3a zenon_H78 zenon_H7f zenon_H456 zenon_H12c zenon_H37 zenon_Hda zenon_H128. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H94. zenon_intro zenon_H466. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H95. zenon_intro zenon_H131. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H6a. zenon_intro zenon_H126. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H9d ]. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.15/40.38 apply (zenon_L115_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.15/40.38 apply (zenon_L282_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H465); [ zenon_intro zenon_H421 | zenon_intro zenon_H469 ]. % 40.15/40.38 apply (zenon_L283_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H424 | zenon_intro zenon_H46a ]. % 40.15/40.38 apply (zenon_L284_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H3ed | zenon_intro zenon_H429 ]. % 40.15/40.38 exact (zenon_H3f6 zenon_H3ed). % 40.15/40.38 apply (zenon_L286_); trivial. % 40.15/40.38 apply (zenon_L21_); trivial. % 40.15/40.38 apply (zenon_L29_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.15/40.38 apply (zenon_L287_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.15/40.38 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 40.15/40.38 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.38 apply (zenon_L254_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.38 apply (zenon_L28_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.38 apply (zenon_L29_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.15/40.38 apply (zenon_L26_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.15/40.38 exact (zenon_H126 zenon_H58). % 40.15/40.38 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.15/40.38 apply (zenon_L298_); trivial. % 40.15/40.38 apply (zenon_L56_); trivial. % 40.15/40.38 apply (zenon_L299_); trivial. % 40.15/40.38 apply (zenon_L305_); trivial. % 40.15/40.38 (* end of lemma zenon_L306_ *) % 40.15/40.38 assert (zenon_L307_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H46b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_Hde. zenon_intro zenon_H46c. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_He1. zenon_intro zenon_H134. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 (* end of lemma zenon_L307_ *) % 40.15/40.38 assert (zenon_L308_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H46d. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_Hde. zenon_intro zenon_H46e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_He1. zenon_intro zenon_H3c9. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 (* end of lemma zenon_L308_ *) % 40.15/40.38 assert (zenon_L309_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H46f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_Hde. zenon_intro zenon_H470. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_He1. zenon_intro zenon_H3cc. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_Hde. zenon_intro zenon_He1. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 (* end of lemma zenon_L309_ *) % 40.15/40.38 assert (zenon_L310_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H471. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_Hde. zenon_intro zenon_H472. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_He1. zenon_intro zenon_H3d5. % 40.15/40.38 exact (zenon_He1 zenon_Hde). % 40.15/40.38 (* end of lemma zenon_L310_ *) % 40.15/40.38 assert (zenon_L311_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H428 zenon_H42 zenon_H473 zenon_Hc0 zenon_Hce zenon_H37. % 40.15/40.38 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H428. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H42. % 40.15/40.38 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 40.15/40.38 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 40.15/40.38 congruence. % 40.15/40.38 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H474. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H7b. % 40.15/40.38 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 40.15/40.38 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H475]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H475 zenon_H473). % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply zenon_H7c. apply refl_equal. % 40.15/40.38 apply (zenon_L41_); trivial. % 40.15/40.38 (* end of lemma zenon_L311_ *) % 40.15/40.38 assert (zenon_L312_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H476 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H477 zenon_H3a zenon_H78 zenon_H42 zenon_H428 zenon_H37 zenon_H434. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_Hce. zenon_intro zenon_H478. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H460. zenon_intro zenon_H3da. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3da). zenon_intro zenon_H3dc. zenon_intro zenon_H3db. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.15/40.38 apply (zenon_L254_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.15/40.38 apply (zenon_L28_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.15/40.38 apply (zenon_L29_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H477); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H479 ]. % 40.15/40.38 exact (zenon_H3db zenon_H3d9). % 40.15/40.38 apply (zenon_or_s _ _ zenon_H479); [ zenon_intro zenon_H79 | zenon_intro zenon_H47a ]. % 40.15/40.38 apply (zenon_L25_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H47a); [ zenon_intro zenon_H473 | zenon_intro zenon_H433 ]. % 40.15/40.38 apply (zenon_L311_); trivial. % 40.15/40.38 apply (zenon_L290_); trivial. % 40.15/40.38 (* end of lemma zenon_L312_ *) % 40.15/40.38 assert (zenon_L313_ : ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> (~((e22) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_Hce zenon_H43a zenon_H3ee. % 40.15/40.38 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha4 ]. % 40.15/40.38 cut (((e23) = (e23)) = ((e22) = (e23))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ee. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H129. % 40.15/40.38 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.15/40.38 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 40.15/40.38 congruence. % 40.15/40.38 cut (((op2 (e22) (e23)) = (e22)) = ((e23) = (e22))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3ef. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_Hce. % 40.15/40.38 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.15/40.38 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H47b]. % 40.15/40.38 congruence. % 40.15/40.38 exact (zenon_H47b zenon_H43a). % 40.15/40.38 apply zenon_H3a6. apply refl_equal. % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 apply zenon_Ha4. apply refl_equal. % 40.15/40.38 (* end of lemma zenon_L313_ *) % 40.15/40.38 assert (zenon_L314_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H47c zenon_H44e zenon_H42d zenon_H37 zenon_H3c1 zenon_H3ee. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H460. zenon_intro zenon_H3df. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H40e. zenon_intro zenon_Hac. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_H42c | zenon_intro zenon_H450 ]. % 40.15/40.38 apply (zenon_L288_); trivial. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H431 | zenon_intro zenon_H451 ]. % 40.15/40.38 cut (((op2 (e21) (e21)) = (e23)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 40.15/40.38 intro zenon_D_pnotp. % 40.15/40.38 apply zenon_H3c1. % 40.15/40.38 rewrite <- zenon_D_pnotp. % 40.15/40.38 exact zenon_H40e. % 40.15/40.38 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H47e]. % 40.15/40.38 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 40.15/40.38 congruence. % 40.15/40.38 apply zenon_H3b5. apply refl_equal. % 40.15/40.38 apply zenon_H47e. apply sym_equal. exact zenon_H431. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H441 | zenon_intro zenon_H43a ]. % 40.15/40.38 exact (zenon_H460 zenon_H441). % 40.15/40.38 apply (zenon_L313_); trivial. % 40.15/40.38 (* end of lemma zenon_L314_ *) % 40.15/40.38 assert (zenon_L315_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H47f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_Hce. zenon_intro zenon_H480. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H460. zenon_intro zenon_H3e2. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e2). zenon_intro zenon_H441. zenon_intro zenon_H481. % 40.15/40.38 exact (zenon_H481 zenon_Hce). % 40.15/40.38 (* end of lemma zenon_L315_ *) % 40.15/40.38 assert (zenon_L316_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H482. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_Hce. zenon_intro zenon_H483. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H460. zenon_intro zenon_H3e5. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H127. zenon_intro zenon_H12b. % 40.15/40.38 exact (zenon_H12b zenon_H127). % 40.15/40.38 (* end of lemma zenon_L316_ *) % 40.15/40.38 assert (zenon_L317_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H484. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H7e. zenon_intro zenon_H485. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H124. zenon_intro zenon_H15. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16. % 40.15/40.38 exact (zenon_H16 zenon_H14). % 40.15/40.38 (* end of lemma zenon_L317_ *) % 40.15/40.38 assert (zenon_L318_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H486 zenon_H37 zenon_H7f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H486). zenon_intro zenon_H7e. zenon_intro zenon_H487. % 40.15/40.38 apply (zenon_L26_); trivial. % 40.15/40.38 (* end of lemma zenon_L318_ *) % 40.15/40.38 assert (zenon_L319_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H488 zenon_H37 zenon_H7f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H488). zenon_intro zenon_H7e. zenon_intro zenon_H489. % 40.15/40.38 apply (zenon_L26_); trivial. % 40.15/40.38 (* end of lemma zenon_L319_ *) % 40.15/40.38 assert (zenon_L320_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H48a. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H48a). zenon_intro zenon_H7e. zenon_intro zenon_H48b. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H124. zenon_intro zenon_H1f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hb3. zenon_intro zenon_H83. % 40.15/40.38 exact (zenon_H83 zenon_H7e). % 40.15/40.38 (* end of lemma zenon_L320_ *) % 40.15/40.38 assert (zenon_L321_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H48c zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H58. zenon_intro zenon_H48d. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_Hb8. zenon_intro zenon_H23. % 40.15/40.38 apply (zenon_L251_); trivial. % 40.15/40.38 (* end of lemma zenon_L321_ *) % 40.15/40.38 assert (zenon_L322_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H48e. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_H58. zenon_intro zenon_H48f. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_Hb8. zenon_intro zenon_H29. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 40.15/40.38 exact (zenon_H2a zenon_H2b). % 40.15/40.38 (* end of lemma zenon_L322_ *) % 40.15/40.38 assert (zenon_L323_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H490 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H58. zenon_intro zenon_H491. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_Hb8. zenon_intro zenon_H113. % 40.15/40.38 apply (zenon_L251_); trivial. % 40.15/40.38 (* end of lemma zenon_L323_ *) % 40.15/40.38 assert (zenon_L324_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H492. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H58. zenon_intro zenon_H493. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_Hb8. zenon_intro zenon_H131. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H6a. zenon_intro zenon_H126. % 40.15/40.38 exact (zenon_H126 zenon_H58). % 40.15/40.38 (* end of lemma zenon_L324_ *) % 40.15/40.38 assert (zenon_L325_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> ((e23) = (op2 (e20) (e20))) -> (~((e22) = (e23))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H494 zenon_H37 zenon_H3ee. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H57. zenon_intro zenon_H495. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H3d2. zenon_intro zenon_H134. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Hfc. zenon_intro zenon_H135. % 40.15/40.38 apply (zenon_L254_); trivial. % 40.15/40.38 (* end of lemma zenon_L325_ *) % 40.15/40.38 assert (zenon_L326_ : ((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H92 zenon_H57 zenon_H59 zenon_H78 zenon_H3a zenon_H37 zenon_Ha7 zenon_Had zenon_Hb9. % 40.15/40.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H58 ]. % 40.15/40.38 apply (zenon_L251_); trivial. % 40.15/40.38 apply (zenon_L17_); trivial. % 40.15/40.38 (* end of lemma zenon_L326_ *) % 40.15/40.38 assert (zenon_L327_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> False). % 40.15/40.38 do 0 intro. intros zenon_H84 zenon_H57 zenon_H59 zenon_H78 zenon_H3a zenon_H37 zenon_Ha7 zenon_Had zenon_Hb9. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 40.15/40.38 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 40.22/40.39 apply (zenon_L326_); trivial. % 40.22/40.39 (* end of lemma zenon_L327_ *) % 40.22/40.39 assert (zenon_L328_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> 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(~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = 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(e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = 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(e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H496 zenon_H111 zenon_H223 zenon_H261 zenon_H266 zenon_H1e7 zenon_H246 zenon_H24b zenon_H249 zenon_H259 zenon_H128 zenon_H106 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H214 zenon_H163 zenon_H338 zenon_H32f zenon_H333 zenon_H32a zenon_H15f zenon_H325 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1df zenon_H2ca zenon_H224 zenon_H312 zenon_H199 zenon_H193 zenon_H192 zenon_H1fb zenon_H28d zenon_H30e zenon_H23c zenon_H201 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H2a1 zenon_H294 zenon_H291 zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H2d6 zenon_H2d3 zenon_H1cf zenon_H29d zenon_H29c zenon_H2a0 zenon_H1b8 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1ec zenon_H206 zenon_H16b zenon_H158 zenon_H20d zenon_H1e0 zenon_H205 zenon_H35f zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.39 apply (zenon_L223_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.39 apply (zenon_L327_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.39 apply (zenon_L237_); trivial. % 40.22/40.39 apply (zenon_L303_); trivial. % 40.22/40.39 (* end of lemma zenon_L328_ *) % 40.22/40.39 assert (zenon_L329_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H498. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H498). zenon_intro zenon_H57. zenon_intro zenon_H499. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H499). zenon_intro zenon_H3d2. zenon_intro zenon_H3cc. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_Hde. zenon_intro zenon_He1. % 40.22/40.39 exact (zenon_He1 zenon_Hde). % 40.22/40.39 (* end of lemma zenon_L329_ *) % 40.22/40.39 assert (zenon_L330_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H49a. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H49a). zenon_intro zenon_H57. zenon_intro zenon_H49b. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H3d2. zenon_intro zenon_H3d5. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H3d5). zenon_intro zenon_H3cd. zenon_intro zenon_H3d6. % 40.22/40.39 exact (zenon_H3d6 zenon_H57). % 40.22/40.39 (* end of lemma zenon_L330_ *) % 40.22/40.39 assert (zenon_L331_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H49c. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H127. zenon_intro zenon_H49d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H12b. zenon_intro zenon_H3da. % 40.22/40.39 exact (zenon_H12b zenon_H127). % 40.22/40.39 (* end of lemma zenon_L331_ *) % 40.22/40.39 assert (zenon_L332_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H49e. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H127. zenon_intro zenon_H49f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H12b. zenon_intro zenon_H3df. % 40.22/40.39 exact (zenon_H12b zenon_H127). % 40.22/40.39 (* end of lemma zenon_L332_ *) % 40.22/40.39 assert (zenon_L333_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4a0. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H4a0). zenon_intro zenon_H127. zenon_intro zenon_H4a1. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H4a1). zenon_intro zenon_H12b. zenon_intro zenon_H3e2. % 40.22/40.39 exact (zenon_H12b zenon_H127). % 40.22/40.39 (* end of lemma zenon_L333_ *) % 40.22/40.39 assert (zenon_L334_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4a2. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_H127. zenon_intro zenon_H4a3. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H12b. zenon_intro zenon_H3e5. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H127. zenon_intro zenon_H12b. % 40.22/40.39 exact (zenon_H12b zenon_H127). % 40.22/40.39 (* end of lemma zenon_L334_ *) % 40.22/40.39 assert (zenon_L335_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H58 zenon_H59. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.22/40.39 apply (zenon_L30_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.22/40.39 apply (zenon_L10_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.22/40.39 apply (zenon_L13_); trivial. % 40.22/40.39 apply (zenon_L17_); trivial. % 40.22/40.39 (* end of lemma zenon_L335_ *) % 40.22/40.39 assert (zenon_L336_ : (~((h1 (e12)) = (e22))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4a4 zenon_H4a5 zenon_H42. % 40.22/40.39 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (e12)) = (e22))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4a4. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4a5. % 40.22/40.39 cut (((op2 (op2 (e20) (e20)) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a6]. % 40.22/40.39 cut (((h1 (e12)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a7]. % 40.22/40.39 congruence. % 40.22/40.39 apply zenon_H4a7. apply refl_equal. % 40.22/40.39 apply zenon_H4a6. apply sym_equal. exact zenon_H42. % 40.22/40.39 (* end of lemma zenon_L336_ *) % 40.22/40.39 assert (zenon_L337_ : (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> ((op2 (e20) (e22)) = (e22)) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4a8 zenon_H1d5 zenon_Hc1 zenon_H24b zenon_H4a5 zenon_H42. % 40.22/40.39 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4a8. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4a5. % 40.22/40.39 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4a9]. % 40.22/40.39 cut (((h1 (e12)) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4aa]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [ zenon_intro zenon_H4ab | zenon_intro zenon_H4ac ]. % 40.22/40.39 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12)))) = ((h1 (e12)) = (h1 (op1 (e10) (e12))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4aa. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4ab. % 40.22/40.39 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4ac]. % 40.22/40.39 cut (((h1 (op1 (e10) (e12))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4ad]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4ae]. % 40.22/40.39 congruence. % 40.22/40.39 exact (zenon_H4ae zenon_H1d5). % 40.22/40.39 apply zenon_H4ac. apply refl_equal. % 40.22/40.39 apply zenon_H4ac. apply refl_equal. % 40.22/40.39 elim (classic ((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [ zenon_intro zenon_H4af | zenon_intro zenon_H4b0 ]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12)))) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e10)) (h1 (e12))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4a9. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4af. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4b0]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b1]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (h1 (e10)) (h1 (e12))) = (op2 (op2 (e20) (e20)) (e20)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4b1. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_Hc1. % 40.22/40.39 cut (((e22) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b2]. % 40.22/40.39 cut (((op2 (e20) (e22)) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4b3]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [ zenon_intro zenon_H4af | zenon_intro zenon_H4b0 ]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12)))) = ((op2 (e20) (e22)) = (op2 (h1 (e10)) (h1 (e12))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4b3. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4af. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4b0]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4b4]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.39 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 40.22/40.39 congruence. % 40.22/40.39 exact (zenon_H258 zenon_H24b). % 40.22/40.39 apply (zenon_L336_); trivial. % 40.22/40.39 apply zenon_H4b0. apply refl_equal. % 40.22/40.39 apply zenon_H4b0. apply refl_equal. % 40.22/40.39 exact (zenon_H4b2 zenon_H42). % 40.22/40.39 apply zenon_H4b0. apply refl_equal. % 40.22/40.39 apply zenon_H4b0. apply refl_equal. % 40.22/40.39 (* end of lemma zenon_L337_ *) % 40.22/40.39 assert (zenon_L338_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.22/40.39 do 0 intro. intros zenon_H1b8 zenon_H172 zenon_H298 zenon_H1c1. % 40.22/40.39 cut (((op1 (e10) (op1 (e10) (e13))) = (e13)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H1b8. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H172. % 40.22/40.39 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H278]. % 40.22/40.39 cut (((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4b5]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 40.22/40.39 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4b5. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H1a1. % 40.22/40.39 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 40.22/40.39 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4b6]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29a]. % 40.22/40.39 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 40.22/40.39 congruence. % 40.22/40.39 apply zenon_H154. apply refl_equal. % 40.22/40.39 apply zenon_H29a. apply sym_equal. exact zenon_H298. % 40.22/40.39 apply zenon_H1a2. apply refl_equal. % 40.22/40.39 apply zenon_H1a2. apply refl_equal. % 40.22/40.39 apply zenon_H278. apply sym_equal. exact zenon_H1c1. % 40.22/40.39 (* end of lemma zenon_L338_ *) % 40.22/40.39 assert (zenon_L339_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 40.22/40.39 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H193 zenon_H156 zenon_H1bd zenon_H1b2 zenon_H1a8 zenon_H1b9 zenon_H1c6 zenon_H1e7 zenon_H17f zenon_H1b8 zenon_H172 zenon_H298. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.22/40.39 apply (zenon_L78_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.22/40.39 apply (zenon_L86_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.22/40.39 apply (zenon_L93_); trivial. % 40.22/40.39 apply (zenon_L338_); trivial. % 40.22/40.39 (* end of lemma zenon_L339_ *) % 40.22/40.39 assert (zenon_L340_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H298 zenon_H172 zenon_H1b8 zenon_H1e7 zenon_H1c6 zenon_H1b9 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.22/40.39 apply (zenon_L119_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.22/40.39 exact (zenon_H212 zenon_H20e). % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.22/40.39 apply (zenon_L339_); trivial. % 40.22/40.39 apply (zenon_L82_); trivial. % 40.22/40.39 (* end of lemma zenon_L340_ *) % 40.22/40.39 assert (zenon_L341_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H2a1 zenon_H216 zenon_H42 zenon_H4a5 zenon_H24b zenon_Hc1 zenon_H4a8 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H172 zenon_H1b8 zenon_H1e7 zenon_H1c6 zenon_H1b9 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.39 exact (zenon_H216 zenon_H213). % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.39 apply (zenon_L132_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.39 apply (zenon_L337_); trivial. % 40.22/40.39 apply (zenon_L340_); trivial. % 40.22/40.39 (* end of lemma zenon_L341_ *) % 40.22/40.39 assert (zenon_L342_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.22/40.39 do 0 intro. intros zenon_Ha2 zenon_H11d zenon_H473 zenon_H57. % 40.22/40.39 cut (((op2 (e20) (op2 (e20) (e23))) = (e23)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_Ha2. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H11d. % 40.22/40.39 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 40.22/40.39 cut (((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ba]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 40.22/40.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4ba. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H72. % 40.22/40.39 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 40.22/40.39 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H4bb]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H474]. % 40.22/40.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.22/40.39 congruence. % 40.22/40.39 apply zenon_H40. apply refl_equal. % 40.22/40.39 apply zenon_H474. apply sym_equal. exact zenon_H473. % 40.22/40.39 apply zenon_H73. apply refl_equal. % 40.22/40.39 apply zenon_H73. apply refl_equal. % 40.22/40.39 apply zenon_H101. apply sym_equal. exact zenon_H57. % 40.22/40.39 (* end of lemma zenon_L342_ *) % 40.22/40.39 assert (zenon_L343_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H2a1 zenon_H216 zenon_H259 zenon_H20c zenon_H42 zenon_H4a5 zenon_H24b zenon_Hc1 zenon_H4a8 zenon_H297 zenon_H15f. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.39 exact (zenon_H216 zenon_H213). % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.39 apply (zenon_L132_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.39 apply (zenon_L337_); trivial. % 40.22/40.39 apply (zenon_L140_); trivial. % 40.22/40.39 (* end of lemma zenon_L343_ *) % 40.22/40.39 assert (zenon_L344_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.22/40.39 do 0 intro. intros zenon_H2a1 zenon_H214 zenon_H156 zenon_H259 zenon_H20c zenon_H42 zenon_H4a5 zenon_H24b zenon_Hc1 zenon_H4a8 zenon_H1b8 zenon_H172 zenon_H1c1. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.39 apply (zenon_L106_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.39 apply (zenon_L132_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.39 apply (zenon_L337_); trivial. % 40.22/40.39 apply (zenon_L338_); trivial. % 40.22/40.39 (* end of lemma zenon_L344_ *) % 40.22/40.39 assert (zenon_L345_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H4b7 zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H4bc zenon_H3ee zenon_H37 zenon_H261 zenon_Hd8 zenon_H1b8 zenon_H4a8 zenon_H24b zenon_H4a5 zenon_H42 zenon_H259 zenon_H214 zenon_H2a1 zenon_Ha2 zenon_H11d zenon_H57 zenon_H223. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.39 apply (zenon_L61_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.39 apply (zenon_L62_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.39 apply (zenon_L63_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.39 apply (zenon_L64_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.39 apply (zenon_L65_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.39 apply (zenon_L66_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.39 apply (zenon_L109_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.39 apply (zenon_L113_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.39 apply (zenon_L114_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.39 apply (zenon_L254_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.39 apply (zenon_L230_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.39 apply (zenon_L341_); trivial. % 40.22/40.39 apply (zenon_L342_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.39 apply (zenon_L127_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.39 apply (zenon_L128_); trivial. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.39 apply (zenon_L131_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.39 apply (zenon_L254_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.39 apply (zenon_L230_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.39 apply (zenon_L343_); trivial. % 40.22/40.39 apply (zenon_L342_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.39 apply (zenon_L145_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.39 apply (zenon_L147_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.39 apply (zenon_L148_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.39 apply (zenon_L149_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.39 apply (zenon_L150_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.39 apply (zenon_L151_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.39 apply (zenon_L152_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.39 apply (zenon_L153_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.39 apply (zenon_L165_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.39 apply (zenon_L166_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.39 apply (zenon_L167_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.39 apply (zenon_L168_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.39 apply (zenon_L169_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.39 apply (zenon_L170_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.39 apply (zenon_L171_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.39 apply (zenon_L172_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.39 apply (zenon_L173_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.39 apply (zenon_L174_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.39 apply (zenon_L175_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.39 apply (zenon_L176_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.39 apply (zenon_L177_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.39 apply (zenon_L178_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.39 apply (zenon_L179_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.39 apply (zenon_L180_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.39 apply (zenon_L181_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.39 apply (zenon_L182_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.39 apply (zenon_L183_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.39 apply (zenon_L184_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.39 apply (zenon_L185_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.39 apply (zenon_L194_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.39 apply (zenon_L195_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.39 apply (zenon_L196_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.39 apply (zenon_L197_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.39 apply (zenon_L198_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.39 apply (zenon_L200_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.39 apply (zenon_L204_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.39 apply (zenon_L205_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.39 apply (zenon_L206_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.39 apply (zenon_L207_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.39 apply (zenon_L208_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.39 apply (zenon_L209_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.39 apply (zenon_L210_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.39 apply (zenon_L211_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.39 apply (zenon_L212_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.39 apply (zenon_L213_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.39 apply (zenon_L214_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.39 apply (zenon_L215_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.39 apply (zenon_L254_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.39 apply (zenon_L230_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.39 apply (zenon_L344_); trivial. % 40.22/40.39 apply (zenon_L342_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.39 apply (zenon_L216_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.39 apply (zenon_L128_); trivial. % 40.22/40.39 apply (zenon_L158_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.39 apply (zenon_L217_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.39 apply (zenon_L218_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.39 apply (zenon_L219_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.39 apply (zenon_L220_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.39 apply (zenon_L221_); trivial. % 40.22/40.39 apply (zenon_L222_); trivial. % 40.22/40.39 (* end of lemma zenon_L345_ *) % 40.22/40.39 assert (zenon_L346_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H496 zenon_H111 zenon_H223 zenon_Ha2 zenon_H2a1 zenon_H214 zenon_H259 zenon_H42 zenon_H4a5 zenon_H24b zenon_H4a8 zenon_H1b8 zenon_H261 zenon_H3ee zenon_H4bc zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H163 zenon_H338 zenon_H32f zenon_H333 zenon_H32a zenon_H15f zenon_H325 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1df zenon_H2ca zenon_H224 zenon_H312 zenon_H199 zenon_H193 zenon_H192 zenon_H1fb zenon_H28d zenon_H30e zenon_H1e7 zenon_H23c zenon_H201 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H294 zenon_H291 zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H2d6 zenon_H2d3 zenon_H4b7 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1ec zenon_H206 zenon_H16b zenon_H158 zenon_H20d zenon_H1cf zenon_H1e0 zenon_H205 zenon_H35f zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.22/40.39 apply (zenon_L345_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.39 apply (zenon_L327_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.39 apply (zenon_L237_); trivial. % 40.22/40.39 apply (zenon_L303_); trivial. % 40.22/40.39 (* end of lemma zenon_L346_ *) % 40.22/40.39 assert (zenon_L347_ : (~((h1 (e13)) = (e23))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4bf zenon_H4c0 zenon_H37. % 40.22/40.39 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (e13)) = (e23))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4bf. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4c0. % 40.22/40.39 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 40.22/40.39 cut (((h1 (e13)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4c1]. % 40.22/40.39 congruence. % 40.22/40.39 apply zenon_H4c1. apply refl_equal. % 40.22/40.39 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.22/40.39 (* end of lemma zenon_L347_ *) % 40.22/40.39 assert (zenon_L348_ : (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> ((op2 (e20) (e23)) = (e20)) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4c2 zenon_H151 zenon_H3d9 zenon_H24b zenon_H4c0 zenon_H37. % 40.22/40.39 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4c2. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H24b. % 40.22/40.39 cut (((e20) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4c3]. % 40.22/40.39 cut (((h1 (e10)) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4c4]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [ zenon_intro zenon_H4c5 | zenon_intro zenon_H4c6 ]. % 40.22/40.39 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13)))) = ((h1 (e10)) = (h1 (op1 (e10) (e13))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4c4. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4c5. % 40.22/40.39 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4c6]. % 40.22/40.39 cut (((h1 (op1 (e10) (e13))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4c7]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2b8]. % 40.22/40.39 congruence. % 40.22/40.39 exact (zenon_H2b8 zenon_H151). % 40.22/40.39 apply zenon_H4c6. apply refl_equal. % 40.22/40.39 apply zenon_H4c6. apply refl_equal. % 40.22/40.39 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H4c8 | zenon_intro zenon_H4c9 ]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((e20) = (op2 (h1 (e10)) (h1 (e13))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4c3. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4c8. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4c9]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e13))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4ca]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (h1 (e10)) (h1 (e13))) = (e20))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4ca. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H3d9. % 40.22/40.39 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.22/40.39 cut (((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4cb]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H4c8 | zenon_intro zenon_H4c9 ]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4cb. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H4c8. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4c9]. % 40.22/40.39 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4cc]. % 40.22/40.39 congruence. % 40.22/40.39 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4bf]. % 40.22/40.39 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 40.22/40.39 congruence. % 40.22/40.39 exact (zenon_H258 zenon_H24b). % 40.22/40.39 apply (zenon_L347_); trivial. % 40.22/40.39 apply zenon_H4c9. apply refl_equal. % 40.22/40.39 apply zenon_H4c9. apply refl_equal. % 40.22/40.39 apply zenon_H40. apply refl_equal. % 40.22/40.39 apply zenon_H4c9. apply refl_equal. % 40.22/40.39 apply zenon_H4c9. apply refl_equal. % 40.22/40.39 (* end of lemma zenon_L348_ *) % 40.22/40.39 assert (zenon_L349_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e13)) = (e10))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H16b zenon_H37 zenon_H4c0 zenon_H24b zenon_H3d9 zenon_H4c2 zenon_H158 zenon_H156 zenon_H159 zenon_H15f zenon_H179. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H151 | zenon_intro zenon_H17a ]. % 40.22/40.39 apply (zenon_L348_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H15a | zenon_intro zenon_H17b ]. % 40.22/40.39 apply (zenon_L70_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H160 | zenon_intro zenon_H17c ]. % 40.22/40.39 apply (zenon_L71_); trivial. % 40.22/40.39 exact (zenon_H179 zenon_H17c). % 40.22/40.39 (* end of lemma zenon_L349_ *) % 40.22/40.39 assert (zenon_L350_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e23)) = (e20)) -> False). % 40.22/40.39 do 0 intro. intros zenon_H4cd zenon_H117 zenon_H37 zenon_H4ce. % 40.22/40.39 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H4cd. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H117. % 40.22/40.39 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4cf]. % 40.22/40.39 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H42b]. % 40.22/40.39 congruence. % 40.22/40.39 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 40.22/40.39 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e23)))). % 40.22/40.39 intro zenon_D_pnotp. % 40.22/40.39 apply zenon_H42b. % 40.22/40.39 rewrite <- zenon_D_pnotp. % 40.22/40.39 exact zenon_H7b. % 40.22/40.39 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 40.22/40.39 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H426]. % 40.22/40.39 congruence. % 40.22/40.39 apply (zenon_L285_); trivial. % 40.22/40.39 apply zenon_H7c. apply refl_equal. % 40.22/40.39 apply zenon_H7c. apply refl_equal. % 40.22/40.39 apply zenon_H4cf. apply sym_equal. exact zenon_H4ce. % 40.22/40.39 (* end of lemma zenon_L350_ *) % 40.22/40.39 assert (zenon_L351_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H16a zenon_H163 zenon_H16b zenon_H15f zenon_H156 zenon_H158 zenon_H24b zenon_H4c0 zenon_H37 zenon_H4c2 zenon_H4cd zenon_H117 zenon_H428 zenon_H124 zenon_H4d0. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H179 | zenon_intro zenon_H162 ]. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4d0); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H4d1 ]. % 40.22/40.39 apply (zenon_L349_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4d1); [ zenon_intro zenon_H4ce | zenon_intro zenon_H4d2 ]. % 40.22/40.39 apply (zenon_L350_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4d2); [ zenon_intro zenon_H429 | zenon_intro zenon_Hb3 ]. % 40.22/40.39 apply (zenon_L286_); trivial. % 40.22/40.39 exact (zenon_H124 zenon_Hb3). % 40.22/40.39 apply (zenon_L72_); trivial. % 40.22/40.39 (* end of lemma zenon_L351_ *) % 40.22/40.39 assert (zenon_L352_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (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) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> False). % 40.22/40.39 do 0 intro. intros zenon_H115 zenon_H7f zenon_H16b zenon_H15f zenon_H156 zenon_H158 zenon_H150 zenon_H163 zenon_H20d zenon_H192 zenon_H193 zenon_H199 zenon_H1a0 zenon_H1df zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H1b2 zenon_H1ac zenon_H1a8 zenon_H1a7 zenon_H1e7 zenon_H205 zenon_H1fb zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H201 zenon_H206 zenon_H224 zenon_H214 zenon_H223 zenon_H23c zenon_H4d0 zenon_H428 zenon_H4cd zenon_H4c2 zenon_H37 zenon_H4c0 zenon_H24b zenon_H275 zenon_H26f zenon_H269 zenon_H25d zenon_H2ca zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H27f zenon_H286 zenon_H28d zenon_H291 zenon_H294 zenon_H2a1 zenon_H316 zenon_H30b zenon_H312 zenon_H30e zenon_H325 zenon_H32a zenon_H32f zenon_H333 zenon_H338 zenon_H35f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H7e ]. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.39 apply (zenon_L61_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.39 apply (zenon_L62_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.39 apply (zenon_L63_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.39 apply (zenon_L64_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.39 apply (zenon_L65_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.39 apply (zenon_L66_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.39 apply (zenon_L109_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.39 apply (zenon_L113_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.39 apply (zenon_L114_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.39 apply (zenon_L351_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.39 apply (zenon_L127_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.39 apply (zenon_L128_); trivial. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H191 | zenon_intro zenon_H151 ]. % 40.22/40.39 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4d0); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H4d1 ]. % 40.22/40.39 apply (zenon_L348_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4d1); [ zenon_intro zenon_H4ce | zenon_intro zenon_H4d2 ]. % 40.22/40.39 apply (zenon_L350_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H4d2); [ zenon_intro zenon_H429 | zenon_intro zenon_Hb3 ]. % 40.22/40.39 apply (zenon_L286_); trivial. % 40.22/40.39 exact (zenon_H124 zenon_Hb3). % 40.22/40.39 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.39 apply (zenon_L145_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.39 apply (zenon_L147_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.39 apply (zenon_L148_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.39 apply (zenon_L149_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.39 apply (zenon_L150_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.39 apply (zenon_L151_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.39 apply (zenon_L152_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.39 apply (zenon_L153_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.39 apply (zenon_L165_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.39 apply (zenon_L166_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.39 apply (zenon_L167_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.39 apply (zenon_L168_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.39 apply (zenon_L169_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.39 apply (zenon_L170_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.39 apply (zenon_L171_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.39 apply (zenon_L172_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.39 apply (zenon_L173_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.39 apply (zenon_L174_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.39 apply (zenon_L175_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.39 apply (zenon_L176_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.39 apply (zenon_L177_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.39 apply (zenon_L178_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.39 apply (zenon_L179_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.39 apply (zenon_L180_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.39 apply (zenon_L181_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.39 apply (zenon_L182_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.39 apply (zenon_L183_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.39 apply (zenon_L184_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.39 apply (zenon_L185_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.39 apply (zenon_L194_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.39 apply (zenon_L195_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.39 apply (zenon_L196_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.39 apply (zenon_L197_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.39 apply (zenon_L198_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.39 apply (zenon_L200_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.39 apply (zenon_L204_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.39 apply (zenon_L205_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.39 apply (zenon_L206_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.39 apply (zenon_L207_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.39 apply (zenon_L208_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.39 apply (zenon_L209_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.39 apply (zenon_L210_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.39 apply (zenon_L211_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.39 apply (zenon_L212_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.39 apply (zenon_L213_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.39 apply (zenon_L214_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.39 apply (zenon_L215_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.39 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.39 apply (zenon_L351_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.39 apply (zenon_L216_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.39 apply (zenon_L128_); trivial. % 40.22/40.39 apply (zenon_L158_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.39 apply (zenon_L217_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.39 apply (zenon_L218_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.39 apply (zenon_L219_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.39 apply (zenon_L220_); trivial. % 40.22/40.39 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.39 apply (zenon_L221_); trivial. % 40.22/40.39 apply (zenon_L222_); trivial. % 40.22/40.39 apply (zenon_L26_); trivial. % 40.22/40.39 (* end of lemma zenon_L352_ *) % 40.22/40.39 assert (zenon_L353_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = 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= (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H3c7 zenon_H111 zenon_H35f zenon_H338 zenon_H333 zenon_H32f zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H30b zenon_H316 zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H2d6 zenon_H259 zenon_H2d3 zenon_H2ca zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H24b zenon_H4c0 zenon_H4c2 zenon_H4cd zenon_H428 zenon_H4d0 zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H7f zenon_H3c4 zenon_H3bd zenon_H3b9 zenon_H261 zenon_H3ad zenon_Hbc zenon_H78 zenon_Had zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H48 zenon_H5c zenon_H3a2 zenon_H3a7 zenon_Ha7 zenon_H3a8 zenon_Heb zenon_H3c1 zenon_H9c zenon_H96 zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.40 apply (zenon_L352_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.40 apply (zenon_L236_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.40 apply (zenon_L237_); trivial. % 40.22/40.40 apply (zenon_L240_); trivial. % 40.22/40.40 (* end of lemma zenon_L353_ *) % 40.22/40.40 assert (zenon_L354_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((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 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H496 zenon_H111 zenon_H35f zenon_H338 zenon_H333 zenon_H32f zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H30b zenon_H316 zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H2d6 zenon_H259 zenon_H2d3 zenon_H2ca zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H24b zenon_H4c0 zenon_H4c2 zenon_H4cd zenon_H428 zenon_H4d0 zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H7f zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.40 apply (zenon_L352_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.40 apply (zenon_L327_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.40 apply (zenon_L237_); trivial. % 40.22/40.40 apply (zenon_L303_); trivial. % 40.22/40.40 (* end of lemma zenon_L354_ *) % 40.22/40.40 assert (zenon_L355_ : (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> False). % 40.22/40.40 do 0 intro. intros zenon_H4d3 zenon_H280 zenon_H3a3 zenon_H246 zenon_H3a zenon_H24b. % 40.22/40.40 cut (((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4d3. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H246. % 40.22/40.40 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d4]. % 40.22/40.40 cut (((h1 (e11)) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d5]. % 40.22/40.40 congruence. % 40.22/40.40 elim (classic ((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [ zenon_intro zenon_H4d6 | zenon_intro zenon_H4d7 ]. % 40.22/40.40 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10)))) = ((h1 (e11)) = (h1 (op1 (e11) (e10))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4d5. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4d6. % 40.22/40.40 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4d7]. % 40.22/40.40 cut (((h1 (op1 (e11) (e10))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4d8]. % 40.22/40.40 congruence. % 40.22/40.40 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 40.22/40.40 congruence. % 40.22/40.40 exact (zenon_H2c8 zenon_H280). % 40.22/40.40 apply zenon_H4d7. apply refl_equal. % 40.22/40.40 apply zenon_H4d7. apply refl_equal. % 40.22/40.40 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H4d9 | zenon_intro zenon_H4da ]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e11)) (h1 (e10))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4d4. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4d9. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4da]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4db]. % 40.22/40.40 congruence. % 40.22/40.40 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (h1 (e11)) (h1 (e10))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4db. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H3a3. % 40.22/40.40 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 40.22/40.40 cut (((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4dc]. % 40.22/40.40 congruence. % 40.22/40.40 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H4d9 | zenon_intro zenon_H4da ]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4dc. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4d9. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4da]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4dd]. % 40.22/40.40 congruence. % 40.22/40.40 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 40.22/40.40 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.22/40.40 congruence. % 40.22/40.40 apply (zenon_L117_); trivial. % 40.22/40.40 exact (zenon_H258 zenon_H24b). % 40.22/40.40 apply zenon_H4da. apply refl_equal. % 40.22/40.40 apply zenon_H4da. apply refl_equal. % 40.22/40.40 exact (zenon_H255 zenon_H3a). % 40.22/40.40 apply zenon_H4da. apply refl_equal. % 40.22/40.40 apply zenon_H4da. apply refl_equal. % 40.22/40.40 (* end of lemma zenon_L355_ *) % 40.22/40.40 assert (zenon_L356_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H2a0 zenon_H1e7 zenon_H24b zenon_H3a zenon_H246 zenon_H3a3 zenon_H4d3 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H1a7 zenon_H1a8 zenon_H156. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H14a | zenon_intro zenon_H2a2 ]. % 40.22/40.40 apply (zenon_L116_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H280 | zenon_intro zenon_H2a3 ]. % 40.22/40.40 apply (zenon_L355_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H281 | zenon_intro zenon_H1a9 ]. % 40.22/40.40 apply (zenon_L143_); trivial. % 40.22/40.40 apply (zenon_L80_); trivial. % 40.22/40.40 (* end of lemma zenon_L356_ *) % 40.22/40.40 assert (zenon_L357_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (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) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H464 zenon_H128 zenon_H156 zenon_H1a8 zenon_H1a7 zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H4d3 zenon_H246 zenon_H24b zenon_H1e7 zenon_H2a0 zenon_Ha7 zenon_He8 zenon_H3a7 zenon_Hd8 zenon_H3a2 zenon_H3a8 zenon_H64 zenon_H3a zenon_H37. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.22/40.40 apply (zenon_L115_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.22/40.40 apply (zenon_L356_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.22/40.40 apply (zenon_L227_); trivial. % 40.22/40.40 apply (zenon_L21_); trivial. % 40.22/40.40 (* end of lemma zenon_L357_ *) % 40.22/40.40 assert (zenon_L358_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (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 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H1b8 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1f5 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H30b zenon_H1a0 zenon_H316 zenon_H223 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H26f zenon_H25d zenon_H275 zenon_H214 zenon_H37 zenon_H3a zenon_H64 zenon_H3a8 zenon_H3a2 zenon_Hd8 zenon_H3a7 zenon_He8 zenon_Ha7 zenon_H2a0 zenon_H1e7 zenon_H24b zenon_H246 zenon_H4d3 zenon_H269 zenon_H29c zenon_H27f zenon_H29d zenon_H1a7 zenon_H1a8 zenon_H156 zenon_H128 zenon_H464. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.40 apply (zenon_L61_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.40 apply (zenon_L62_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.40 apply (zenon_L63_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.40 apply (zenon_L64_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.40 apply (zenon_L65_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.40 apply (zenon_L66_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.40 apply (zenon_L109_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.40 apply (zenon_L113_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.40 apply (zenon_L114_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.40 apply (zenon_L357_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.40 apply (zenon_L145_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.40 apply (zenon_L147_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.40 apply (zenon_L148_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.40 apply (zenon_L149_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.40 apply (zenon_L150_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.40 apply (zenon_L151_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.40 apply (zenon_L152_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.40 apply (zenon_L153_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.40 apply (zenon_L165_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.40 apply (zenon_L166_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.40 apply (zenon_L167_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.40 apply (zenon_L168_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.40 apply (zenon_L169_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.40 apply (zenon_L170_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.40 apply (zenon_L171_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.40 apply (zenon_L172_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.40 apply (zenon_L173_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.40 apply (zenon_L174_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.40 apply (zenon_L175_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.40 apply (zenon_L176_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.40 apply (zenon_L177_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.40 apply (zenon_L178_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.40 apply (zenon_L179_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.40 apply (zenon_L180_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.40 apply (zenon_L181_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.40 apply (zenon_L182_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.40 apply (zenon_L183_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.40 apply (zenon_L184_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.40 apply (zenon_L185_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.40 apply (zenon_L194_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.40 apply (zenon_L195_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.40 apply (zenon_L196_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.40 apply (zenon_L197_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.40 apply (zenon_L198_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.40 apply (zenon_L200_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.40 apply (zenon_L204_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.40 apply (zenon_L205_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.40 apply (zenon_L206_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.40 apply (zenon_L207_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.40 apply (zenon_L208_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.40 apply (zenon_L209_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.40 apply (zenon_L210_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.40 apply (zenon_L211_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.40 apply (zenon_L212_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.40 apply (zenon_L213_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.40 apply (zenon_L214_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.40 apply (zenon_L215_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.40 apply (zenon_L357_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.40 apply (zenon_L217_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.40 apply (zenon_L218_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.40 apply (zenon_L219_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.40 apply (zenon_L220_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.40 apply (zenon_L221_); trivial. % 40.22/40.40 apply (zenon_L222_); trivial. % 40.22/40.40 (* end of lemma zenon_L358_ *) % 40.22/40.40 assert (zenon_L359_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (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 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H3c7 zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H1b8 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1f5 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H30b zenon_H1a0 zenon_H316 zenon_H223 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H26f zenon_H25d zenon_H275 zenon_H214 zenon_H37 zenon_H3a zenon_H64 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Ha7 zenon_H2a0 zenon_H1e7 zenon_H24b zenon_H246 zenon_H4d3 zenon_H269 zenon_H29c zenon_H27f zenon_H29d zenon_H1a7 zenon_H1a8 zenon_H156 zenon_H128 zenon_H464. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.40 apply (zenon_L358_); trivial. % 40.22/40.40 (* end of lemma zenon_L359_ *) % 40.22/40.40 assert (zenon_L360_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (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 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H496 zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H1b8 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1f5 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H30b zenon_H1a0 zenon_H316 zenon_H223 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H26f zenon_H25d zenon_H275 zenon_H214 zenon_H37 zenon_H3a zenon_H64 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Ha7 zenon_H2a0 zenon_H1e7 zenon_H24b zenon_H246 zenon_H4d3 zenon_H269 zenon_H29c zenon_H27f zenon_H29d zenon_H1a7 zenon_H1a8 zenon_H156 zenon_H128 zenon_H464. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.40 apply (zenon_L358_); trivial. % 40.22/40.40 (* end of lemma zenon_L360_ *) % 40.22/40.40 assert (zenon_L361_ : (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op1 (e11) (e11)) = (e12)) -> ((op2 (e21) (e21)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H4de zenon_H4a5 zenon_H20c zenon_Hd8 zenon_H42 zenon_H246 zenon_H3a. % 40.22/40.40 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4de. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4a5. % 40.22/40.40 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4df]. % 40.22/40.40 cut (((h1 (e12)) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4e0]. % 40.22/40.40 congruence. % 40.22/40.40 elim (classic ((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [ zenon_intro zenon_H4e1 | zenon_intro zenon_H4e2 ]. % 40.22/40.40 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11)))) = ((h1 (e12)) = (h1 (op1 (e11) (e11))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4e0. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4e1. % 40.22/40.40 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4e2]. % 40.22/40.40 cut (((h1 (op1 (e11) (e11))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4e3]. % 40.22/40.40 congruence. % 40.22/40.40 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 40.22/40.40 congruence. % 40.22/40.40 exact (zenon_H207 zenon_H20c). % 40.22/40.40 apply zenon_H4e2. apply refl_equal. % 40.22/40.40 apply zenon_H4e2. apply refl_equal. % 40.22/40.40 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H4e5 ]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e11)) (h1 (e11))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4df. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4e4. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4e5]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4e6]. % 40.22/40.40 congruence. % 40.22/40.40 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (h1 (e11)) (h1 (e11))) = (op2 (op2 (e20) (e20)) (e20)))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4e6. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_Hd8. % 40.22/40.40 cut (((e22) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b2]. % 40.22/40.40 cut (((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4e7]. % 40.22/40.40 congruence. % 40.22/40.40 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H4e5 ]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))). % 40.22/40.40 intro zenon_D_pnotp. % 40.22/40.40 apply zenon_H4e7. % 40.22/40.40 rewrite <- zenon_D_pnotp. % 40.22/40.40 exact zenon_H4e4. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4e5]. % 40.22/40.40 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e8]. % 40.22/40.40 congruence. % 40.22/40.40 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.22/40.40 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.22/40.40 congruence. % 40.22/40.40 apply (zenon_L117_); trivial. % 40.22/40.40 apply (zenon_L117_); trivial. % 40.22/40.40 apply zenon_H4e5. apply refl_equal. % 40.22/40.40 apply zenon_H4e5. apply refl_equal. % 40.22/40.40 exact (zenon_H4b2 zenon_H42). % 40.22/40.40 apply zenon_H4e5. apply refl_equal. % 40.22/40.40 apply zenon_H4e5. apply refl_equal. % 40.22/40.40 (* end of lemma zenon_L361_ *) % 40.22/40.40 assert (zenon_L362_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (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) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e21)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H1b8 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1f5 zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H223 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H26f zenon_H1a8 zenon_H269 zenon_H25d zenon_H275 zenon_H214 zenon_H156 zenon_H3a zenon_H246 zenon_H42 zenon_Hd8 zenon_H4a5 zenon_H4de. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.40 apply (zenon_L61_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.40 apply (zenon_L62_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.40 apply (zenon_L63_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.40 apply (zenon_L64_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.40 apply (zenon_L65_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.40 apply (zenon_L66_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.40 apply (zenon_L109_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.40 apply (zenon_L113_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.40 apply (zenon_L114_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.40 apply (zenon_L361_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.40 apply (zenon_L145_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.40 apply (zenon_L147_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.40 apply (zenon_L148_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.40 apply (zenon_L149_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.40 apply (zenon_L150_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.40 apply (zenon_L151_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.40 apply (zenon_L152_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.40 apply (zenon_L153_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.40 apply (zenon_L165_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.40 apply (zenon_L166_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.40 apply (zenon_L167_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.40 apply (zenon_L168_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.40 apply (zenon_L169_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.40 apply (zenon_L170_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.40 apply (zenon_L171_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.40 apply (zenon_L172_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.40 apply (zenon_L173_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.40 apply (zenon_L174_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.40 apply (zenon_L175_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.40 apply (zenon_L176_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.40 apply (zenon_L177_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.40 apply (zenon_L178_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.40 apply (zenon_L179_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.40 apply (zenon_L180_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.40 apply (zenon_L181_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.40 apply (zenon_L182_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.40 apply (zenon_L183_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.40 apply (zenon_L184_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.40 apply (zenon_L185_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.40 apply (zenon_L194_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.40 apply (zenon_L195_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.40 apply (zenon_L196_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.40 apply (zenon_L197_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.40 apply (zenon_L198_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.40 apply (zenon_L200_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.40 apply (zenon_L204_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.40 apply (zenon_L205_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.40 apply (zenon_L206_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.40 apply (zenon_L207_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.40 apply (zenon_L208_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.40 apply (zenon_L209_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.40 apply (zenon_L210_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.40 apply (zenon_L211_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.40 apply (zenon_L212_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.40 apply (zenon_L213_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.40 apply (zenon_L214_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.40 apply (zenon_L215_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.40 apply (zenon_L361_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.40 apply (zenon_L217_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.40 apply (zenon_L218_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.40 apply (zenon_L219_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.40 apply (zenon_L220_); trivial. % 40.22/40.40 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.40 apply (zenon_L221_); trivial. % 40.22/40.40 apply (zenon_L222_); trivial. % 40.22/40.40 (* end of lemma zenon_L362_ *) % 40.22/40.40 assert (zenon_L363_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (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) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H3c7 zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H1b8 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1f5 zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H223 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H26f zenon_H1a8 zenon_H269 zenon_H25d zenon_H275 zenon_H214 zenon_H156 zenon_H3a zenon_H246 zenon_H42 zenon_H4a5 zenon_H4de. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.40 apply (zenon_L362_); trivial. % 40.22/40.40 (* end of lemma zenon_L363_ *) % 40.22/40.40 assert (zenon_L364_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (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) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> ((e13) = (op1 (e10) (e10))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> False). % 40.22/40.40 do 0 intro. intros zenon_H496 zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H1b8 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1f5 zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H223 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H26f zenon_H1a8 zenon_H269 zenon_H25d zenon_H275 zenon_H214 zenon_H156 zenon_H3a zenon_H246 zenon_H42 zenon_H4a5 zenon_H4de. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.40 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.40 apply (zenon_L362_); trivial. % 40.22/40.41 (* end of lemma zenon_L364_ *) % 40.22/40.41 assert (zenon_L365_ : (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((op1 (e11) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H4e9 zenon_H24b zenon_H4ea zenon_H4eb zenon_H246 zenon_H3a zenon_H4a5 zenon_H42. % 40.22/40.41 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H4e9. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H24b. % 40.22/40.41 cut (((e20) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4ec]. % 40.22/40.41 cut (((h1 (e10)) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4ed]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [ zenon_intro zenon_H4ee | zenon_intro zenon_H4ef ]. % 40.22/40.41 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12)))) = ((h1 (e10)) = (h1 (op1 (e11) (e12))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H4ed. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H4ee. % 40.22/40.41 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4ef]. % 40.22/40.41 cut (((h1 (op1 (e11) (e12))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4f0]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4f1]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H4f1 zenon_H4ea). % 40.22/40.41 apply zenon_H4ef. apply refl_equal. % 40.22/40.41 apply zenon_H4ef. apply refl_equal. % 40.22/40.41 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H4f2 | zenon_intro zenon_H4f3 ]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((e20) = (op2 (h1 (e11)) (h1 (e12))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H4ec. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H4f2. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4f3]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4f4]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((op2 (e21) (e22)) = (e20)) = ((op2 (h1 (e11)) (h1 (e12))) = (e20))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H4f4. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H4eb. % 40.22/40.41 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.22/40.41 cut (((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4f5]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H4f2 | zenon_intro zenon_H4f3 ]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H4f5. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H4f2. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4f3]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4f6]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.41 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.22/40.41 congruence. % 40.22/40.41 apply (zenon_L117_); trivial. % 40.22/40.41 apply (zenon_L336_); trivial. % 40.22/40.41 apply zenon_H4f3. apply refl_equal. % 40.22/40.41 apply zenon_H4f3. apply refl_equal. % 40.22/40.41 apply zenon_H40. apply refl_equal. % 40.22/40.41 apply zenon_H4f3. apply refl_equal. % 40.22/40.41 apply zenon_H4f3. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L365_ *) % 40.22/40.41 assert (zenon_L366_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> False). % 40.22/40.41 do 0 intro. intros zenon_H30b zenon_H20c zenon_H4f7. % 40.22/40.41 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H30b. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H20c. % 40.22/40.41 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4f8]. % 40.22/40.41 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.22/40.41 congruence. % 40.22/40.41 apply zenon_H27d. apply refl_equal. % 40.22/40.41 apply zenon_H4f8. apply sym_equal. exact zenon_H4f7. % 40.22/40.41 (* end of lemma zenon_L366_ *) % 40.22/40.41 assert (zenon_L367_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H4f9 zenon_H42 zenon_H4a5 zenon_H3a zenon_H246 zenon_H4eb zenon_H24b zenon_H4e9 zenon_H212 zenon_H20c zenon_H30b zenon_H1c6 zenon_H1b9 zenon_H1b8 zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1c3. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4f9); [ zenon_intro zenon_H4ea | zenon_intro zenon_H4fa ]. % 40.22/40.41 apply (zenon_L365_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fa); [ zenon_intro zenon_H20e | zenon_intro zenon_H4fb ]. % 40.22/40.41 exact (zenon_H212 zenon_H20e). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fb); [ zenon_intro zenon_H4f7 | zenon_intro zenon_H1c2 ]. % 40.22/40.41 apply (zenon_L366_); trivial. % 40.22/40.41 apply (zenon_L86_); trivial. % 40.22/40.41 (* end of lemma zenon_L367_ *) % 40.22/40.41 assert (zenon_L368_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H455 zenon_H456. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.22/40.41 apply (zenon_L30_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.22/40.41 apply (zenon_L10_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.22/40.41 apply (zenon_L13_); trivial. % 40.22/40.41 apply (zenon_L300_); trivial. % 40.22/40.41 (* end of lemma zenon_L368_ *) % 40.22/40.41 assert (zenon_L369_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (e11))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H4fc zenon_H1c3 zenon_H193 zenon_H156 zenon_H1bd zenon_H1b2 zenon_H1a8 zenon_H1b8 zenon_H1b9 zenon_H1c6 zenon_H30b zenon_H20c zenon_H212 zenon_H4e9 zenon_H24b zenon_H246 zenon_H4a5 zenon_H4f9 zenon_He8 zenon_Hc7 zenon_Hc1 zenon_Hc0 zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H456. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fc); [ zenon_intro zenon_H4eb | zenon_intro zenon_H4fd ]. % 40.22/40.41 apply (zenon_L367_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fd); [ zenon_intro zenon_He6 | zenon_intro zenon_H4fe ]. % 40.22/40.41 exact (zenon_He8 zenon_He6). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fe); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H455 ]. % 40.22/40.41 apply (zenon_L40_); trivial. % 40.22/40.41 apply (zenon_L368_); trivial. % 40.22/40.41 (* end of lemma zenon_L369_ *) % 40.22/40.41 assert (zenon_L370_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.22/40.41 do 0 intro. intros zenon_H4ff zenon_H1c3 zenon_H193 zenon_H156 zenon_H1bd zenon_H1b2 zenon_H1a8 zenon_H1b8 zenon_H1c6 zenon_H30b zenon_H20c zenon_H212 zenon_H4f9 zenon_H42 zenon_H4a5 zenon_H3a zenon_H246 zenon_H4eb zenon_H24b zenon_H4e9 zenon_H2e1 zenon_H1ff zenon_H1c1. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4ff); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H500 ]. % 40.22/40.41 apply (zenon_L367_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H500); [ zenon_intro zenon_H4ea | zenon_intro zenon_H501 ]. % 40.22/40.41 apply (zenon_L365_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H501); [ zenon_intro zenon_H2cb | zenon_intro zenon_H1ba ]. % 40.22/40.41 exact (zenon_H2e1 zenon_H2cb). % 40.22/40.41 apply (zenon_L101_); trivial. % 40.22/40.41 (* end of lemma zenon_L370_ *) % 40.22/40.41 assert (zenon_L371_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H4fc zenon_H1c1 zenon_H1ff zenon_H2e1 zenon_H4e9 zenon_H24b zenon_H246 zenon_H4a5 zenon_H4f9 zenon_H212 zenon_H20c zenon_H30b zenon_H1c6 zenon_H1b8 zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1c3 zenon_H4ff zenon_He8 zenon_Hc7 zenon_Hc1 zenon_Hc0 zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H456. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fc); [ zenon_intro zenon_H4eb | zenon_intro zenon_H4fd ]. % 40.22/40.41 apply (zenon_L370_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fd); [ zenon_intro zenon_He6 | zenon_intro zenon_H4fe ]. % 40.22/40.41 exact (zenon_He8 zenon_He6). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4fe); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H455 ]. % 40.22/40.41 apply (zenon_L40_); trivial. % 40.22/40.41 apply (zenon_L368_); trivial. % 40.22/40.41 (* end of lemma zenon_L371_ *) % 40.22/40.41 assert (zenon_L372_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H178 zenon_H199 zenon_H3ee zenon_H37 zenon_H261 zenon_Hd8 zenon_Heb zenon_H4fc zenon_Ha2 zenon_H39 zenon_H44 zenon_H456 zenon_H5f zenon_Hc7 zenon_He8 zenon_H4f9 zenon_H1b8 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H20c zenon_H30b zenon_H212 zenon_H246 zenon_H3a zenon_H4a5 zenon_H24b zenon_H4e9 zenon_H1ff zenon_H1c1 zenon_H4ff zenon_H3f6 zenon_Ha5 zenon_H57 zenon_H502 zenon_H9c zenon_H42 zenon_H96 zenon_H11d zenon_H4bc. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H19a ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.41 apply (zenon_L254_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.41 apply (zenon_L230_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.41 apply (zenon_L254_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.41 apply (zenon_L28_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.41 apply (zenon_L29_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H502); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H503 ]. % 40.22/40.41 apply (zenon_L371_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H503); [ zenon_intro zenon_H4eb | zenon_intro zenon_H504 ]. % 40.22/40.41 apply (zenon_L370_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H504); [ zenon_intro zenon_H3ed | zenon_intro zenon_H32 ]. % 40.22/40.41 exact (zenon_H3f6 zenon_H3ed). % 40.22/40.41 apply (zenon_L32_); trivial. % 40.22/40.41 apply (zenon_L342_); trivial. % 40.22/40.41 apply (zenon_L77_); trivial. % 40.22/40.41 (* end of lemma zenon_L372_ *) % 40.22/40.41 assert (zenon_L373_ : ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((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 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((e20) = (e23))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.22/40.41 do 0 intro. intros zenon_H111 zenon_H35f zenon_H4ff zenon_H338 zenon_H333 zenon_H32f zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H316 zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H2d6 zenon_H259 zenon_H2d3 zenon_H2ca zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H4bc zenon_H96 zenon_H42 zenon_H9c zenon_H502 zenon_Ha5 zenon_H4f9 zenon_H30b zenon_H246 zenon_H4a5 zenon_H24b zenon_H4e9 zenon_Hc7 zenon_H5f zenon_H456 zenon_H44 zenon_H39 zenon_Ha2 zenon_H4fc zenon_Heb zenon_H261 zenon_H3ee zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_Hd8 zenon_He8 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59 zenon_H57. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H9d ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.41 apply (zenon_L61_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.41 apply (zenon_L62_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.41 apply (zenon_L63_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.41 apply (zenon_L64_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.41 apply (zenon_L65_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.41 apply (zenon_L66_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.41 apply (zenon_L109_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.41 apply (zenon_L113_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.41 apply (zenon_L114_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.41 apply (zenon_L254_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.41 apply (zenon_L230_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.41 apply (zenon_L254_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.41 apply (zenon_L28_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.41 apply (zenon_L29_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H502); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H503 ]. % 40.22/40.41 apply (zenon_L369_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H503); [ zenon_intro zenon_H4eb | zenon_intro zenon_H504 ]. % 40.22/40.41 apply (zenon_L367_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H504); [ zenon_intro zenon_H3ed | zenon_intro zenon_H32 ]. % 40.22/40.41 exact (zenon_H3f6 zenon_H3ed). % 40.22/40.41 apply (zenon_L32_); trivial. % 40.22/40.41 apply (zenon_L342_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.41 apply (zenon_L145_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.41 apply (zenon_L147_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.41 apply (zenon_L148_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.41 apply (zenon_L149_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.41 apply (zenon_L150_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.41 apply (zenon_L151_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.41 apply (zenon_L152_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.41 apply (zenon_L153_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.41 apply (zenon_L165_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.41 apply (zenon_L166_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.41 apply (zenon_L167_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.41 apply (zenon_L168_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.41 apply (zenon_L169_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.41 apply (zenon_L170_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.41 apply (zenon_L171_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.41 apply (zenon_L172_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.41 apply (zenon_L173_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.41 apply (zenon_L174_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.41 apply (zenon_L175_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.41 apply (zenon_L176_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.41 apply (zenon_L177_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.41 apply (zenon_L178_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.41 apply (zenon_L179_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.41 apply (zenon_L180_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.41 apply (zenon_L181_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.41 apply (zenon_L182_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.41 apply (zenon_L183_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.41 apply (zenon_L184_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.41 apply (zenon_L185_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.41 apply (zenon_L194_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.41 apply (zenon_L195_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.41 apply (zenon_L196_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.41 apply (zenon_L197_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.41 apply (zenon_L198_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.41 apply (zenon_L200_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.41 apply (zenon_L204_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.41 apply (zenon_L205_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.41 apply (zenon_L206_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.41 apply (zenon_L207_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.41 apply (zenon_L208_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.41 apply (zenon_L209_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.41 apply (zenon_L210_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.41 apply (zenon_L211_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.41 apply (zenon_L212_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.41 apply (zenon_L213_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.41 apply (zenon_L214_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.41 apply (zenon_L215_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.22/40.41 apply (zenon_L372_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.41 apply (zenon_L216_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.41 apply (zenon_L128_); trivial. % 40.22/40.41 apply (zenon_L158_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.41 apply (zenon_L217_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.41 apply (zenon_L218_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.41 apply (zenon_L219_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.41 apply (zenon_L220_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.41 apply (zenon_L221_); trivial. % 40.22/40.41 apply (zenon_L222_); trivial. % 40.22/40.41 apply (zenon_L29_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.41 apply (zenon_L327_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.41 apply (zenon_L237_); trivial. % 40.22/40.41 apply (zenon_L303_); trivial. % 40.22/40.41 (* end of lemma zenon_L373_ *) % 40.22/40.41 assert (zenon_L374_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = 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(e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H496 zenon_H111 zenon_H35f zenon_H4ff zenon_H338 zenon_H333 zenon_H32f zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H316 zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H2d6 zenon_H259 zenon_H2d3 zenon_H2ca zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H4bc zenon_H96 zenon_H42 zenon_H9c zenon_H502 zenon_Ha5 zenon_H4f9 zenon_H30b zenon_H246 zenon_H4a5 zenon_H24b zenon_H4e9 zenon_Hc7 zenon_H5f zenon_H456 zenon_H44 zenon_H39 zenon_Ha2 zenon_H4fc zenon_Heb zenon_H261 zenon_H3ee zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.41 apply (zenon_L373_); trivial. % 40.22/40.41 (* end of lemma zenon_L374_ *) % 40.22/40.41 assert (zenon_L375_ : ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H37 zenon_H505 zenon_H506. % 40.22/40.41 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ]. % 40.22/40.41 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H506. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H99. % 40.22/40.41 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 40.22/40.41 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H507]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((e23) = (op2 (e20) (e20))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H507. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H37. % 40.22/40.41 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H81]. % 40.22/40.41 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H508]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H99 | zenon_intro zenon_H9a ]. % 40.22/40.41 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e23) = (op2 (e21) (e20)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H508. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H99. % 40.22/40.41 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9a]. % 40.22/40.41 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H509]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H509 zenon_H505). % 40.22/40.41 apply zenon_H9a. apply refl_equal. % 40.22/40.41 apply zenon_H9a. apply refl_equal. % 40.22/40.41 apply zenon_H81. apply refl_equal. % 40.22/40.41 apply zenon_H9a. apply refl_equal. % 40.22/40.41 apply zenon_H9a. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L375_ *) % 40.22/40.41 assert (zenon_L376_ : ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e21)) = (e23)) -> (~((e22) = (e23))) -> False). % 40.22/40.41 do 0 intro. intros zenon_Hd8 zenon_H40e zenon_H3ee. % 40.22/40.41 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H129 | zenon_intro zenon_Ha4 ]. % 40.22/40.41 cut (((e23) = (e23)) = ((e22) = (e23))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H3ee. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H129. % 40.22/40.41 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 40.22/40.41 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3ef]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((op2 (e21) (e21)) = (e22)) = ((e23) = (e22))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H3ef. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_Hd8. % 40.22/40.41 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a6]. % 40.22/40.41 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H40d]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H40d zenon_H40e). % 40.22/40.41 apply zenon_H3a6. apply refl_equal. % 40.22/40.41 apply zenon_Ha4. apply refl_equal. % 40.22/40.41 apply zenon_Ha4. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L376_ *) % 40.22/40.41 assert (zenon_L377_ : ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H156 zenon_H50a zenon_H50b. % 40.22/40.41 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 40.22/40.41 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H50b. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H196. % 40.22/40.41 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 40.22/40.41 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H50c]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((e13) = (op1 (e10) (e10))) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H50c. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H156. % 40.22/40.41 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 40.22/40.41 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H50d]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 40.22/40.41 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e13) = (op1 (e11) (e10)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H50d. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H196. % 40.22/40.41 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 40.22/40.41 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H50e]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H50e zenon_H50a). % 40.22/40.41 apply zenon_H197. apply refl_equal. % 40.22/40.41 apply zenon_H197. apply refl_equal. % 40.22/40.41 apply zenon_H167. apply refl_equal. % 40.22/40.41 apply zenon_H197. apply refl_equal. % 40.22/40.41 apply zenon_H197. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L377_ *) % 40.22/40.41 assert (zenon_L378_ : (~((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e11)) = (e12)) -> False). % 40.22/40.41 do 0 intro. intros zenon_H50f zenon_H1d4 zenon_H156 zenon_H20c. % 40.22/40.41 cut (((op1 (e13) (e10)) = (e12)) = ((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H50f. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H1d4. % 40.22/40.41 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 40.22/40.41 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1d9 ]. % 40.22/40.41 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e13) (e10)) = (op1 (op1 (e10) (e10)) (e10)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H1d7. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H1d8. % 40.22/40.41 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (op1 (e10) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d9]. % 40.22/40.41 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 40.22/40.41 congruence. % 40.22/40.41 apply (zenon_L75_); trivial. % 40.22/40.41 apply zenon_H1d9. apply refl_equal. % 40.22/40.41 apply zenon_H1d9. apply refl_equal. % 40.22/40.41 apply zenon_H25a. apply sym_equal. exact zenon_H20c. % 40.22/40.41 (* end of lemma zenon_L378_ *) % 40.22/40.41 assert (zenon_L379_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H193 zenon_H18e zenon_H1d4 zenon_H20c zenon_H156 zenon_H333. % 40.22/40.41 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H287 | zenon_intro zenon_H288 ]. % 40.22/40.41 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H333. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H287. % 40.22/40.41 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 40.22/40.41 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H510]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H510. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H193. % 40.22/40.41 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H50f]. % 40.22/40.41 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H511]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H287 | zenon_intro zenon_H288 ]. % 40.22/40.41 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H511. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H287. % 40.22/40.41 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 40.22/40.41 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H17e]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H17e zenon_H18e). % 40.22/40.41 apply zenon_H288. apply refl_equal. % 40.22/40.41 apply zenon_H288. apply refl_equal. % 40.22/40.41 apply (zenon_L378_); trivial. % 40.22/40.41 apply zenon_H288. apply refl_equal. % 40.22/40.41 apply zenon_H288. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L379_ *) % 40.22/40.41 assert (zenon_L380_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H193 zenon_H2aa zenon_H1d4 zenon_H1d5 zenon_H156 zenon_H1cf. % 40.22/40.41 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H512 | zenon_intro zenon_H2cc ]. % 40.22/40.41 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H1cf. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H512. % 40.22/40.41 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 40.22/40.41 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H513]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H513. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H193. % 40.22/40.41 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 40.22/40.41 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H512 | zenon_intro zenon_H2cc ]. % 40.22/40.41 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e12) = (op1 (e12) (e12)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H30f. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H512. % 40.22/40.41 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 40.22/40.41 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a9]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H2a9 zenon_H2aa). % 40.22/40.41 apply zenon_H2cc. apply refl_equal. % 40.22/40.41 apply zenon_H2cc. apply refl_equal. % 40.22/40.41 apply (zenon_L89_); trivial. % 40.22/40.41 apply zenon_H2cc. apply refl_equal. % 40.22/40.41 apply zenon_H2cc. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L380_ *) % 40.22/40.41 assert (zenon_L381_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e12) = (e13))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H514 zenon_H199 zenon_H20c zenon_H1cf zenon_H1d5 zenon_H1d4 zenon_H193 zenon_H338 zenon_H32f zenon_H156 zenon_H2da zenon_H333 zenon_H1e7 zenon_H17f zenon_H214. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H514); [ zenon_intro zenon_H19a | zenon_intro zenon_H515 ]. % 40.22/40.41 apply (zenon_L77_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H18e | zenon_intro zenon_H516 ]. % 40.22/40.41 apply (zenon_L379_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H2aa | zenon_intro zenon_H297 ]. % 40.22/40.41 apply (zenon_L380_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H32e | zenon_intro zenon_H33a ]. % 40.22/40.41 apply (zenon_L201_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H310 | zenon_intro zenon_H33b ]. % 40.22/40.41 apply (zenon_L202_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H335 ]. % 40.22/40.41 apply (zenon_L93_); trivial. % 40.22/40.41 apply (zenon_L203_); trivial. % 40.22/40.41 (* end of lemma zenon_L381_ *) % 40.22/40.41 assert (zenon_L382_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H4b7 zenon_H170 zenon_H259 zenon_H212 zenon_H214 zenon_H1e7 zenon_H333 zenon_H2da zenon_H32f zenon_H338 zenon_H193 zenon_H1d4 zenon_H1d5 zenon_H1cf zenon_H20c zenon_H199 zenon_H514 zenon_H1b2 zenon_H1a8 zenon_H156. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.22/40.41 apply (zenon_L119_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.22/40.41 exact (zenon_H212 zenon_H20e). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.22/40.41 apply (zenon_L381_); trivial. % 40.22/40.41 apply (zenon_L82_); trivial. % 40.22/40.41 (* end of lemma zenon_L382_ *) % 40.22/40.41 assert (zenon_L383_ : (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H517 zenon_H518 zenon_H43c zenon_H246 zenon_H3a zenon_H4c0 zenon_H37. % 40.22/40.41 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H517. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H4c0. % 40.22/40.41 cut (((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H519]. % 40.22/40.41 cut (((h1 (e13)) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H51a]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [ zenon_intro zenon_H51b | zenon_intro zenon_H51c ]. % 40.22/40.41 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13)))) = ((h1 (e13)) = (h1 (op1 (e11) (e13))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H51a. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H51b. % 40.22/40.41 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H51c]. % 40.22/40.41 cut (((h1 (op1 (e11) (e13))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H51d]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H51e]. % 40.22/40.41 congruence. % 40.22/40.41 exact (zenon_H51e zenon_H518). % 40.22/40.41 apply zenon_H51c. apply refl_equal. % 40.22/40.41 apply zenon_H51c. apply refl_equal. % 40.22/40.41 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H51f | zenon_intro zenon_H520 ]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e13))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H519. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H51f. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H520]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H521]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (e20)))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H521. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H43c. % 40.22/40.41 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 40.22/40.41 cut (((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H522]. % 40.22/40.41 congruence. % 40.22/40.41 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H51f | zenon_intro zenon_H520 ]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))). % 40.22/40.41 intro zenon_D_pnotp. % 40.22/40.41 apply zenon_H522. % 40.22/40.41 rewrite <- zenon_D_pnotp. % 40.22/40.41 exact zenon_H51f. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H520]. % 40.22/40.41 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H523]. % 40.22/40.41 congruence. % 40.22/40.41 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4bf]. % 40.22/40.41 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.22/40.41 congruence. % 40.22/40.41 apply (zenon_L117_); trivial. % 40.22/40.41 apply (zenon_L347_); trivial. % 40.22/40.41 apply zenon_H520. apply refl_equal. % 40.22/40.41 apply zenon_H520. apply refl_equal. % 40.22/40.41 exact (zenon_H427 zenon_H37). % 40.22/40.41 apply zenon_H520. apply refl_equal. % 40.22/40.41 apply zenon_H520. apply refl_equal. % 40.22/40.41 (* end of lemma zenon_L383_ *) % 40.22/40.41 assert (zenon_L384_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H2a1 zenon_H37 zenon_H4c0 zenon_H3a zenon_H246 zenon_H43c zenon_H517 zenon_H214 zenon_H333 zenon_H32f zenon_H338 zenon_H1cf zenon_H199 zenon_H514 zenon_H50b zenon_H524 zenon_H192 zenon_H216 zenon_H224 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H172 zenon_H1b8 zenon_H1e7 zenon_H1c6 zenon_H1b9 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.41 exact (zenon_H216 zenon_H213). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.41 apply (zenon_L132_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.41 exact (zenon_H216 zenon_H213). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.41 apply (zenon_L76_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.41 apply (zenon_L77_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H50a | zenon_intro zenon_H525 ]. % 40.22/40.41 apply (zenon_L377_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H2da | zenon_intro zenon_H526 ]. % 40.22/40.41 apply (zenon_L382_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H518 ]. % 40.22/40.41 apply (zenon_L86_); trivial. % 40.22/40.41 apply (zenon_L383_); trivial. % 40.22/40.41 apply (zenon_L340_); trivial. % 40.22/40.41 (* end of lemma zenon_L384_ *) % 40.22/40.41 assert (zenon_L385_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H524 zenon_H50b zenon_H2d7 zenon_H1c3 zenon_H193 zenon_H156 zenon_H1bd zenon_H1b2 zenon_H1a8 zenon_H1b8 zenon_H1b9 zenon_H1c6 zenon_H517 zenon_H43c zenon_H246 zenon_H3a zenon_H4c0 zenon_H37. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H50a | zenon_intro zenon_H525 ]. % 40.22/40.41 apply (zenon_L377_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H2da | zenon_intro zenon_H526 ]. % 40.22/40.41 exact (zenon_H2d7 zenon_H2da). % 40.22/40.41 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H518 ]. % 40.22/40.41 apply (zenon_L86_); trivial. % 40.22/40.41 apply (zenon_L383_); trivial. % 40.22/40.41 (* end of lemma zenon_L385_ *) % 40.22/40.41 assert (zenon_L386_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.22/40.41 do 0 intro. intros zenon_H2a1 zenon_H37 zenon_H4c0 zenon_H3a zenon_H246 zenon_H43c zenon_H517 zenon_H1c3 zenon_H4b7 zenon_H170 zenon_H259 zenon_H212 zenon_H214 zenon_H1e7 zenon_H333 zenon_H32f zenon_H338 zenon_H193 zenon_H1cf zenon_H20c zenon_H199 zenon_H514 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H50b zenon_H524 zenon_H192 zenon_H224 zenon_H1b8 zenon_H172 zenon_H1c1. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.41 apply (zenon_L106_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.41 apply (zenon_L132_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.41 apply (zenon_L106_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.41 apply (zenon_L76_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.41 apply (zenon_L77_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H50a | zenon_intro zenon_H525 ]. % 40.22/40.41 apply (zenon_L377_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H2da | zenon_intro zenon_H526 ]. % 40.22/40.41 apply (zenon_L382_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H518 ]. % 40.22/40.41 apply (zenon_L85_); trivial. % 40.22/40.41 apply (zenon_L383_); trivial. % 40.22/40.41 apply (zenon_L338_); trivial. % 40.22/40.41 (* end of lemma zenon_L386_ *) % 40.22/40.41 assert (zenon_L387_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (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))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.41 do 0 intro. intros zenon_H3c7 zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1bd zenon_H201 zenon_H23c zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H2ca zenon_H1df zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H527 zenon_H506 zenon_H3ee zenon_H456 zenon_H42 zenon_H44 zenon_H39 zenon_Ha2 zenon_H5f zenon_H2a1 zenon_H37 zenon_H4c0 zenon_H3a zenon_H246 zenon_H517 zenon_H1c3 zenon_H4b7 zenon_H259 zenon_H214 zenon_H1e7 zenon_H333 zenon_H32f zenon_H338 zenon_H193 zenon_H1cf zenon_H199 zenon_H514 zenon_H1b2 zenon_H50b zenon_H524 zenon_H192 zenon_H224 zenon_H1b8 zenon_H223. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.41 apply (zenon_L61_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.41 apply (zenon_L62_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.41 apply (zenon_L63_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.41 apply (zenon_L64_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.41 apply (zenon_L65_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.41 apply (zenon_L66_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.41 apply (zenon_L109_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.41 apply (zenon_L113_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.41 apply (zenon_L114_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H505 | zenon_intro zenon_H528 ]. % 40.22/40.41 apply (zenon_L375_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H40e | zenon_intro zenon_H529 ]. % 40.22/40.41 apply (zenon_L376_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H455 | zenon_intro zenon_H43c ]. % 40.22/40.41 apply (zenon_L368_); trivial. % 40.22/40.41 apply (zenon_L384_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.41 apply (zenon_L127_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.41 apply (zenon_L128_); trivial. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H505 | zenon_intro zenon_H528 ]. % 40.22/40.41 apply (zenon_L375_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H40e | zenon_intro zenon_H529 ]. % 40.22/40.41 apply (zenon_L376_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H455 | zenon_intro zenon_H43c ]. % 40.22/40.41 apply (zenon_L368_); trivial. % 40.22/40.41 apply (zenon_L385_); trivial. % 40.22/40.41 apply (zenon_L123_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.41 apply (zenon_L145_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.41 apply (zenon_L147_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.41 apply (zenon_L148_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.41 apply (zenon_L149_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.41 apply (zenon_L150_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.41 apply (zenon_L151_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.41 apply (zenon_L152_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.41 apply (zenon_L153_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.41 apply (zenon_L165_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.41 apply (zenon_L166_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.41 apply (zenon_L167_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.41 apply (zenon_L168_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.41 apply (zenon_L169_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.41 apply (zenon_L170_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.41 apply (zenon_L171_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.41 apply (zenon_L172_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.41 apply (zenon_L173_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.41 apply (zenon_L174_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.41 apply (zenon_L175_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.41 apply (zenon_L176_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.41 apply (zenon_L177_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.41 apply (zenon_L178_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.41 apply (zenon_L179_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.41 apply (zenon_L180_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.41 apply (zenon_L181_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.41 apply (zenon_L182_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.41 apply (zenon_L183_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.41 apply (zenon_L184_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.41 apply (zenon_L185_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.41 apply (zenon_L194_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.41 apply (zenon_L195_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.41 apply (zenon_L196_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.41 apply (zenon_L197_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.41 apply (zenon_L198_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.41 apply (zenon_L200_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.41 apply (zenon_L204_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.41 apply (zenon_L205_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.41 apply (zenon_L206_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.41 apply (zenon_L207_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.41 apply (zenon_L208_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.41 apply (zenon_L209_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.41 apply (zenon_L210_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.41 apply (zenon_L211_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.41 apply (zenon_L212_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.41 apply (zenon_L213_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.41 apply (zenon_L214_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.41 apply (zenon_L215_); trivial. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.41 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.41 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H505 | zenon_intro zenon_H528 ]. % 40.22/40.42 apply (zenon_L375_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H40e | zenon_intro zenon_H529 ]. % 40.22/40.42 apply (zenon_L376_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H455 | zenon_intro zenon_H43c ]. % 40.22/40.42 apply (zenon_L368_); trivial. % 40.22/40.42 apply (zenon_L386_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L216_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_L158_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.42 apply (zenon_L217_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.42 apply (zenon_L218_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.42 apply (zenon_L219_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.42 apply (zenon_L220_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.42 apply (zenon_L221_); trivial. % 40.22/40.42 apply (zenon_L222_); trivial. % 40.22/40.42 (* end of lemma zenon_L387_ *) % 40.22/40.42 assert (zenon_L388_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H47c zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1bd zenon_H201 zenon_H23c zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H2ca zenon_H1df zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44f zenon_H434 zenon_H1b8 zenon_H224 zenon_H192 zenon_H524 zenon_H50b zenon_H1b2 zenon_H514 zenon_H199 zenon_H1cf zenon_H193 zenon_H338 zenon_H32f zenon_H333 zenon_H1e7 zenon_H214 zenon_H259 zenon_H4b7 zenon_H1c3 zenon_H517 zenon_H246 zenon_H3a zenon_H4c0 zenon_H37 zenon_H2a1 zenon_H3ee zenon_H128 zenon_H223. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.42 apply (zenon_L61_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.42 apply (zenon_L62_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.42 apply (zenon_L63_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.42 apply (zenon_L64_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.42 apply (zenon_L65_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.42 apply (zenon_L66_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.42 apply (zenon_L109_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.42 apply (zenon_L113_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.42 apply (zenon_L114_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.42 apply (zenon_L21_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.42 apply (zenon_L15_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.42 apply (zenon_L10_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_H433 | zenon_intro zenon_H452 ]. % 40.22/40.42 apply (zenon_L290_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H452); [ zenon_intro zenon_H43c | zenon_intro zenon_H453 ]. % 40.22/40.42 apply (zenon_L384_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H453); [ zenon_intro zenon_H43a | zenon_intro zenon_H127 ]. % 40.22/40.42 apply (zenon_L313_); trivial. % 40.22/40.42 apply (zenon_L56_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L127_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.42 apply (zenon_L21_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.42 apply (zenon_L15_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.42 apply (zenon_L10_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_H433 | zenon_intro zenon_H452 ]. % 40.22/40.42 apply (zenon_L290_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H452); [ zenon_intro zenon_H43c | zenon_intro zenon_H453 ]. % 40.22/40.42 apply (zenon_L385_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H453); [ zenon_intro zenon_H43a | zenon_intro zenon_H127 ]. % 40.22/40.42 apply (zenon_L313_); trivial. % 40.22/40.42 apply (zenon_L56_); trivial. % 40.22/40.42 apply (zenon_L123_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.42 apply (zenon_L145_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.42 apply (zenon_L147_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.42 apply (zenon_L148_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.42 apply (zenon_L149_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.42 apply (zenon_L150_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.42 apply (zenon_L151_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.42 apply (zenon_L152_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.42 apply (zenon_L153_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.42 apply (zenon_L165_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.42 apply (zenon_L166_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.42 apply (zenon_L167_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.42 apply (zenon_L168_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.42 apply (zenon_L169_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.42 apply (zenon_L170_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.42 apply (zenon_L171_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.42 apply (zenon_L172_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.42 apply (zenon_L173_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.42 apply (zenon_L174_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.42 apply (zenon_L175_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.42 apply (zenon_L176_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.42 apply (zenon_L177_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.42 apply (zenon_L178_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.42 apply (zenon_L179_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.42 apply (zenon_L180_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.42 apply (zenon_L181_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.42 apply (zenon_L182_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.42 apply (zenon_L183_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.42 apply (zenon_L184_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.42 apply (zenon_L185_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.42 apply (zenon_L194_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.42 apply (zenon_L195_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.42 apply (zenon_L196_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.42 apply (zenon_L197_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.42 apply (zenon_L198_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.42 apply (zenon_L200_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.42 apply (zenon_L204_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.42 apply (zenon_L205_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.42 apply (zenon_L206_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.42 apply (zenon_L207_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.42 apply (zenon_L208_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.42 apply (zenon_L209_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.42 apply (zenon_L210_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.42 apply (zenon_L211_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.42 apply (zenon_L212_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.42 apply (zenon_L213_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.42 apply (zenon_L214_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.42 apply (zenon_L215_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.42 apply (zenon_L21_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.42 apply (zenon_L15_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.42 apply (zenon_L10_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H44f); [ zenon_intro zenon_H433 | zenon_intro zenon_H452 ]. % 40.22/40.42 apply (zenon_L290_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H452); [ zenon_intro zenon_H43c | zenon_intro zenon_H453 ]. % 40.22/40.42 apply (zenon_L386_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H453); [ zenon_intro zenon_H43a | zenon_intro zenon_H127 ]. % 40.22/40.42 apply (zenon_L313_); trivial. % 40.22/40.42 apply (zenon_L56_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L216_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_L158_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.42 apply (zenon_L217_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.42 apply (zenon_L218_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.42 apply (zenon_L219_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.42 apply (zenon_L220_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.42 apply (zenon_L221_); trivial. % 40.22/40.42 apply (zenon_L222_); trivial. % 40.22/40.42 (* end of lemma zenon_L388_ *) % 40.22/40.42 assert (zenon_L389_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H496 zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1bd zenon_H201 zenon_H23c zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H2ca zenon_H1df zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H527 zenon_H506 zenon_H3ee zenon_H456 zenon_H2a1 zenon_H37 zenon_H4c0 zenon_H3a zenon_H246 zenon_H517 zenon_H1c3 zenon_H4b7 zenon_H259 zenon_H214 zenon_H1e7 zenon_H333 zenon_H32f zenon_H338 zenon_H193 zenon_H1cf zenon_H199 zenon_H514 zenon_H1b2 zenon_H50b zenon_H524 zenon_H192 zenon_H224 zenon_H1b8 zenon_H223. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.42 apply (zenon_L61_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.42 apply (zenon_L62_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.42 apply (zenon_L63_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.42 apply (zenon_L64_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.42 apply (zenon_L65_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.42 apply (zenon_L66_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.42 apply (zenon_L109_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.42 apply (zenon_L113_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.42 apply (zenon_L114_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H505 | zenon_intro zenon_H528 ]. % 40.22/40.42 apply (zenon_L375_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H40e | zenon_intro zenon_H529 ]. % 40.22/40.42 apply (zenon_L376_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H455 | zenon_intro zenon_H43c ]. % 40.22/40.42 apply (zenon_L300_); trivial. % 40.22/40.42 apply (zenon_L384_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L127_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H505 | zenon_intro zenon_H528 ]. % 40.22/40.42 apply (zenon_L375_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H40e | zenon_intro zenon_H529 ]. % 40.22/40.42 apply (zenon_L376_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H455 | zenon_intro zenon_H43c ]. % 40.22/40.42 apply (zenon_L300_); trivial. % 40.22/40.42 apply (zenon_L385_); trivial. % 40.22/40.42 apply (zenon_L123_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.42 apply (zenon_L145_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.42 apply (zenon_L147_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.42 apply (zenon_L148_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.42 apply (zenon_L149_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.42 apply (zenon_L150_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.42 apply (zenon_L151_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.42 apply (zenon_L152_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.42 apply (zenon_L153_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.42 apply (zenon_L165_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.42 apply (zenon_L166_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.42 apply (zenon_L167_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.42 apply (zenon_L168_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.42 apply (zenon_L169_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.42 apply (zenon_L170_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.42 apply (zenon_L171_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.42 apply (zenon_L172_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.42 apply (zenon_L173_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.42 apply (zenon_L174_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.42 apply (zenon_L175_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.42 apply (zenon_L176_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.42 apply (zenon_L177_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.42 apply (zenon_L178_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.42 apply (zenon_L179_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.42 apply (zenon_L180_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.42 apply (zenon_L181_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.42 apply (zenon_L182_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.42 apply (zenon_L183_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.42 apply (zenon_L184_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.42 apply (zenon_L185_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.42 apply (zenon_L194_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.42 apply (zenon_L195_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.42 apply (zenon_L196_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.42 apply (zenon_L197_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.42 apply (zenon_L198_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.42 apply (zenon_L200_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.42 apply (zenon_L204_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.42 apply (zenon_L205_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.42 apply (zenon_L206_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.42 apply (zenon_L207_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.42 apply (zenon_L208_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.42 apply (zenon_L209_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.42 apply (zenon_L210_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.42 apply (zenon_L211_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.42 apply (zenon_L212_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.42 apply (zenon_L213_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.42 apply (zenon_L214_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.42 apply (zenon_L215_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H505 | zenon_intro zenon_H528 ]. % 40.22/40.42 apply (zenon_L375_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H40e | zenon_intro zenon_H529 ]. % 40.22/40.42 apply (zenon_L376_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H455 | zenon_intro zenon_H43c ]. % 40.22/40.42 apply (zenon_L300_); trivial. % 40.22/40.42 apply (zenon_L386_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L216_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_L158_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.42 apply (zenon_L217_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.42 apply (zenon_L218_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.42 apply (zenon_L219_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.42 apply (zenon_L220_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.42 apply (zenon_L221_); trivial. % 40.22/40.42 apply (zenon_L222_); trivial. % 40.22/40.42 (* end of lemma zenon_L389_ *) % 40.22/40.42 assert (zenon_L390_ : (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((op1 (e12) (e10)) = (e10)) -> ((op2 (e22) (e20)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> False). % 40.22/40.42 do 0 intro. intros zenon_H52a zenon_H52b zenon_H421 zenon_H4a5 zenon_H42 zenon_H24b. % 40.22/40.42 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H52a. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H24b. % 40.22/40.42 cut (((e20) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52c]. % 40.22/40.42 cut (((h1 (e10)) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52d]. % 40.22/40.42 congruence. % 40.22/40.42 elim (classic ((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [ zenon_intro zenon_H52e | zenon_intro zenon_H52f ]. % 40.22/40.42 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10)))) = ((h1 (e10)) = (h1 (op1 (e12) (e10))))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H52d. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H52e. % 40.22/40.42 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H52f]. % 40.22/40.42 cut (((h1 (op1 (e12) (e10))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H530]. % 40.22/40.42 congruence. % 40.22/40.42 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H531]. % 40.22/40.42 congruence. % 40.22/40.42 exact (zenon_H531 zenon_H52b). % 40.22/40.42 apply zenon_H52f. apply refl_equal. % 40.22/40.42 apply zenon_H52f. apply refl_equal. % 40.22/40.42 elim (classic ((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [ zenon_intro zenon_H532 | zenon_intro zenon_H533 ]. % 40.22/40.42 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10)))) = ((e20) = (op2 (h1 (e12)) (h1 (e10))))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H52c. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H532. % 40.22/40.42 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 40.22/40.42 cut (((op2 (h1 (e12)) (h1 (e10))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H534]. % 40.22/40.42 congruence. % 40.22/40.42 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (h1 (e12)) (h1 (e10))) = (e20))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H534. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H421. % 40.22/40.42 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.22/40.42 cut (((op2 (e22) (e20)) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H535]. % 40.22/40.42 congruence. % 40.22/40.42 elim (classic ((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [ zenon_intro zenon_H532 | zenon_intro zenon_H533 ]. % 40.22/40.42 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10)))) = ((op2 (e22) (e20)) = (op2 (h1 (e12)) (h1 (e10))))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H535. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H532. % 40.22/40.42 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H533]. % 40.22/40.42 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H536]. % 40.22/40.42 congruence. % 40.22/40.42 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 40.22/40.42 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.42 congruence. % 40.22/40.42 apply (zenon_L336_); trivial. % 40.22/40.42 exact (zenon_H258 zenon_H24b). % 40.22/40.42 apply zenon_H533. apply refl_equal. % 40.22/40.42 apply zenon_H533. apply refl_equal. % 40.22/40.42 apply zenon_H40. apply refl_equal. % 40.22/40.42 apply zenon_H533. apply refl_equal. % 40.22/40.42 apply zenon_H533. apply refl_equal. % 40.22/40.42 (* end of lemma zenon_L390_ *) % 40.22/40.42 assert (zenon_L391_ : ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H1a8 zenon_H14f zenon_H1ca zenon_H24a zenon_H156 zenon_H259. % 40.22/40.42 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H27c | zenon_intro zenon_H27d ]. % 40.22/40.42 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H259. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H27c. % 40.22/40.42 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.22/40.42 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27e]. % 40.22/40.42 congruence. % 40.22/40.42 cut (((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H27e. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H1a8. % 40.22/40.42 cut (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H283]. % 40.22/40.42 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d5]. % 40.22/40.42 congruence. % 40.22/40.42 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H27c | zenon_intro zenon_H27d ]. % 40.22/40.42 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e11) = (op1 (e11) (e11)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H2d5. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H27c. % 40.22/40.42 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.22/40.42 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 40.22/40.42 congruence. % 40.22/40.42 exact (zenon_H14e zenon_H14f). % 40.22/40.42 apply zenon_H27d. apply refl_equal. % 40.22/40.42 apply zenon_H27d. apply refl_equal. % 40.22/40.42 apply (zenon_L134_); trivial. % 40.22/40.42 apply zenon_H27d. apply refl_equal. % 40.22/40.42 apply zenon_H27d. apply refl_equal. % 40.22/40.42 (* end of lemma zenon_L391_ *) % 40.22/40.42 assert (zenon_L392_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1a8 zenon_H14f zenon_H24a zenon_H156 zenon_H259. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.22/40.42 apply (zenon_L80_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.22/40.42 apply (zenon_L81_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.22/40.42 apply (zenon_L82_); trivial. % 40.22/40.42 apply (zenon_L391_); trivial. % 40.22/40.42 (* end of lemma zenon_L392_ *) % 40.22/40.42 assert (zenon_L393_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H29d zenon_H281 zenon_H27f zenon_H259 zenon_H24a zenon_H17f zenon_H20d zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H269 zenon_H1a8 zenon_H156. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H280 | zenon_intro zenon_H29e ]. % 40.22/40.42 apply (zenon_L133_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14f | zenon_intro zenon_H29f ]. % 40.22/40.42 apply (zenon_L392_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H20e | zenon_intro zenon_H26a ]. % 40.22/40.42 apply (zenon_L105_); trivial. % 40.22/40.42 apply (zenon_L123_); trivial. % 40.22/40.42 (* end of lemma zenon_L393_ *) % 40.22/40.42 assert (zenon_L394_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H537 zenon_H24b zenon_H42 zenon_H4a5 zenon_H421 zenon_H52a zenon_H1a8 zenon_H269 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H20d zenon_H17f zenon_H24a zenon_H259 zenon_H27f zenon_H29d zenon_H193 zenon_H199 zenon_H156 zenon_H32f. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H52b | zenon_intro zenon_H538 ]. % 40.22/40.42 apply (zenon_L390_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H281 | zenon_intro zenon_H539 ]. % 40.22/40.42 apply (zenon_L393_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H19a | zenon_intro zenon_H32e ]. % 40.22/40.42 apply (zenon_L77_); trivial. % 40.22/40.42 apply (zenon_L201_); trivial. % 40.22/40.42 (* end of lemma zenon_L394_ *) % 40.22/40.42 assert (zenon_L395_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H266 zenon_H1e7 zenon_H1b2 zenon_H537 zenon_H24b zenon_H42 zenon_H4a5 zenon_H421 zenon_H52a zenon_H269 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H20d zenon_H27f zenon_H29d zenon_H193 zenon_H199 zenon_H32f zenon_H212 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H25d zenon_H1a8 zenon_H156. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H14a | zenon_intro zenon_H267 ]. % 40.22/40.42 apply (zenon_L116_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H24a | zenon_intro zenon_H268 ]. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.22/40.42 apply (zenon_L119_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.22/40.42 exact (zenon_H212 zenon_H20e). % 40.22/40.42 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.22/40.42 apply (zenon_L394_); trivial. % 40.22/40.42 apply (zenon_L82_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H25e ]. % 40.22/40.42 apply (zenon_L119_); trivial. % 40.22/40.42 apply (zenon_L120_); trivial. % 40.22/40.42 (* end of lemma zenon_L395_ *) % 40.22/40.42 assert (zenon_L396_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_H212 zenon_H32f zenon_H199 zenon_H193 zenon_H29d zenon_H27f zenon_H20d zenon_H1ac zenon_H1a7 zenon_H1df zenon_H269 zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H1b2 zenon_H1e7 zenon_H266 zenon_H3a3 zenon_H3a2 zenon_H42 zenon_H9c zenon_H37 zenon_H42d. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H421 | zenon_intro zenon_H53b ]. % 40.22/40.42 apply (zenon_L395_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H53c ]. % 40.22/40.42 apply (zenon_L224_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H9d | zenon_intro zenon_H42c ]. % 40.22/40.42 apply (zenon_L29_); trivial. % 40.22/40.42 apply (zenon_L288_); trivial. % 40.22/40.42 (* end of lemma zenon_L396_ *) % 40.22/40.42 assert (zenon_L397_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H16a zenon_H464 zenon_H128 zenon_H42d zenon_H9c zenon_H42 zenon_H266 zenon_H1e7 zenon_H1b2 zenon_H537 zenon_H24b zenon_H4a5 zenon_H52a zenon_H269 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H20d zenon_H27f zenon_H29d zenon_H193 zenon_H199 zenon_H32f zenon_H212 zenon_H4b7 zenon_H20c zenon_H259 zenon_H25d zenon_H1a8 zenon_H156 zenon_H53a zenon_Ha7 zenon_He8 zenon_H3a7 zenon_Hd8 zenon_H3a2 zenon_H3a8 zenon_H64 zenon_H3a zenon_H37. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.22/40.42 apply (zenon_L115_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.22/40.42 apply (zenon_L396_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.22/40.42 apply (zenon_L227_); trivial. % 40.22/40.42 apply (zenon_L21_); trivial. % 40.22/40.42 (* end of lemma zenon_L397_ *) % 40.22/40.42 assert (zenon_L398_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H266 zenon_H537 zenon_H24b zenon_H42 zenon_H4a5 zenon_H421 zenon_H52a zenon_H20d zenon_H32f zenon_H1a7 zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H2a1 zenon_H259 zenon_H26f zenon_H1df zenon_H1ac zenon_H1b2 zenon_H1cf zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H193 zenon_H1da zenon_H28d zenon_H294 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H297 zenon_H15f zenon_H1e7 zenon_H2a0 zenon_H25d zenon_H1a8 zenon_H156. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H14a | zenon_intro zenon_H267 ]. % 40.22/40.42 apply (zenon_L116_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H24a | zenon_intro zenon_H268 ]. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H14a | zenon_intro zenon_H2a2 ]. % 40.22/40.42 apply (zenon_L116_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H280 | zenon_intro zenon_H2a3 ]. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.42 exact (zenon_H216 zenon_H213). % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.42 apply (zenon_L132_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.42 exact (zenon_H216 zenon_H213). % 40.22/40.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.42 apply (zenon_L76_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.42 apply (zenon_L77_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H281 | zenon_intro zenon_H295 ]. % 40.22/40.42 apply (zenon_L133_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 40.22/40.42 apply (zenon_L137_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H17f | zenon_intro zenon_H270 ]. % 40.22/40.42 apply (zenon_L394_); trivial. % 40.22/40.42 apply (zenon_L124_); trivial. % 40.22/40.42 apply (zenon_L140_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H281 | zenon_intro zenon_H1a9 ]. % 40.22/40.42 apply (zenon_L143_); trivial. % 40.22/40.42 apply (zenon_L80_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H25e ]. % 40.22/40.42 apply (zenon_L144_); trivial. % 40.22/40.42 apply (zenon_L120_); trivial. % 40.22/40.42 (* end of lemma zenon_L398_ *) % 40.22/40.42 assert (zenon_L399_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H2a0 zenon_H1e7 zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H28d zenon_H1da zenon_H193 zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H1cf zenon_H1b2 zenon_H1ac zenon_H1df zenon_H26f zenon_H259 zenon_H2a1 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H1a7 zenon_H32f zenon_H20d zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H266 zenon_H3a3 zenon_H3a2 zenon_H42 zenon_H9c zenon_H37 zenon_H42d. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H421 | zenon_intro zenon_H53b ]. % 40.22/40.42 apply (zenon_L398_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H53c ]. % 40.22/40.42 apply (zenon_L224_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H9d | zenon_intro zenon_H42c ]. % 40.22/40.42 apply (zenon_L29_); trivial. % 40.22/40.42 apply (zenon_L288_); trivial. % 40.22/40.42 (* end of lemma zenon_L399_ *) % 40.22/40.42 assert (zenon_L400_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H3c7 zenon_H35f zenon_H205 zenon_H1e0 zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H1b8 zenon_H1cf zenon_H29c zenon_H2a0 zenon_H2d3 zenon_H2d6 zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H312 zenon_H224 zenon_H2ca zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H338 zenon_H163 zenon_H214 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H464 zenon_H128 zenon_H42d zenon_H9c zenon_H42 zenon_H266 zenon_H1e7 zenon_H1b2 zenon_H537 zenon_H24b zenon_H4a5 zenon_H52a zenon_H1df zenon_H1a7 zenon_H1ac zenon_H20d zenon_H27f zenon_H29d zenon_H193 zenon_H199 zenon_H32f zenon_H4b7 zenon_H259 zenon_H53a zenon_Ha7 zenon_H3a7 zenon_H3a2 zenon_H3a8 zenon_H64 zenon_H3a zenon_H37 zenon_H223. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.42 apply (zenon_L61_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.42 apply (zenon_L62_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.42 apply (zenon_L63_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.42 apply (zenon_L64_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.42 apply (zenon_L65_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.42 apply (zenon_L66_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.42 apply (zenon_L109_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.42 apply (zenon_L113_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.42 apply (zenon_L114_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_L397_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L127_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.42 apply (zenon_L131_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.22/40.42 apply (zenon_L115_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.22/40.42 apply (zenon_L399_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.22/40.42 apply (zenon_L227_); trivial. % 40.22/40.42 apply (zenon_L21_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.42 apply (zenon_L145_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.42 apply (zenon_L147_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.42 apply (zenon_L148_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.42 apply (zenon_L149_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.42 apply (zenon_L150_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.42 apply (zenon_L151_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.42 apply (zenon_L152_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.42 apply (zenon_L153_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.42 apply (zenon_L165_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.42 apply (zenon_L166_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.42 apply (zenon_L167_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.42 apply (zenon_L168_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.42 apply (zenon_L169_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.42 apply (zenon_L170_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.42 apply (zenon_L171_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.42 apply (zenon_L172_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.42 apply (zenon_L173_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.42 apply (zenon_L174_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.42 apply (zenon_L175_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.42 apply (zenon_L176_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.42 apply (zenon_L177_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.42 apply (zenon_L178_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.42 apply (zenon_L179_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.42 apply (zenon_L180_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.42 apply (zenon_L181_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.42 apply (zenon_L182_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.42 apply (zenon_L183_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.42 apply (zenon_L184_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.42 apply (zenon_L185_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.42 apply (zenon_L194_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.42 apply (zenon_L195_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.42 apply (zenon_L196_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.42 apply (zenon_L197_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.42 apply (zenon_L198_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.42 apply (zenon_L200_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.42 apply (zenon_L204_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.42 apply (zenon_L205_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.42 apply (zenon_L206_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.42 apply (zenon_L207_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.42 apply (zenon_L208_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.42 apply (zenon_L209_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.42 apply (zenon_L210_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.42 apply (zenon_L211_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.42 apply (zenon_L212_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.42 apply (zenon_L213_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.42 apply (zenon_L214_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.42 apply (zenon_L215_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_L397_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L216_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_L158_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.42 apply (zenon_L217_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.42 apply (zenon_L218_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.42 apply (zenon_L219_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.42 apply (zenon_L220_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.42 apply (zenon_L221_); trivial. % 40.22/40.42 apply (zenon_L222_); trivial. % 40.22/40.42 (* end of lemma zenon_L400_ *) % 40.22/40.42 assert (zenon_L401_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H16a zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H259 zenon_H20c zenon_H4b7 zenon_H212 zenon_H32f zenon_H199 zenon_H193 zenon_H29d zenon_H27f zenon_H20d zenon_H1ac zenon_H1a7 zenon_H1df zenon_H269 zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H1b2 zenon_H1e7 zenon_H266 zenon_H3a3 zenon_H3a2 zenon_H42 zenon_H9c zenon_H37 zenon_H42d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.42 apply (zenon_L396_); trivial. % 40.22/40.42 (* end of lemma zenon_L401_ *) % 40.22/40.42 assert (zenon_L402_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1e0 zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H1b8 zenon_H2a0 zenon_H29c zenon_H1cf zenon_H2d3 zenon_H2d6 zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H312 zenon_H224 zenon_H2ca zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H338 zenon_H163 zenon_H214 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H53a zenon_H259 zenon_H4b7 zenon_H32f zenon_H199 zenon_H193 zenon_H29d zenon_H27f zenon_H20d zenon_H1ac zenon_H1a7 zenon_H1df zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H1b2 zenon_H1e7 zenon_H266 zenon_H3a3 zenon_H3a2 zenon_H42 zenon_H9c zenon_H37 zenon_H42d zenon_H223. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.42 apply (zenon_L61_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.42 apply (zenon_L62_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.42 apply (zenon_L63_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.42 apply (zenon_L64_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.42 apply (zenon_L65_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.42 apply (zenon_L66_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.42 apply (zenon_L109_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.42 apply (zenon_L113_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.42 apply (zenon_L114_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_L401_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L127_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.42 apply (zenon_L131_); trivial. % 40.22/40.42 apply (zenon_L399_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.42 apply (zenon_L145_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.42 apply (zenon_L147_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.42 apply (zenon_L148_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.42 apply (zenon_L149_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.42 apply (zenon_L150_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.42 apply (zenon_L151_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.42 apply (zenon_L152_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.42 apply (zenon_L153_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.42 apply (zenon_L165_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.42 apply (zenon_L166_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.42 apply (zenon_L167_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.42 apply (zenon_L168_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.42 apply (zenon_L169_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.42 apply (zenon_L170_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.42 apply (zenon_L171_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.42 apply (zenon_L172_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.42 apply (zenon_L173_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.42 apply (zenon_L174_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.42 apply (zenon_L175_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.42 apply (zenon_L176_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.42 apply (zenon_L177_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.42 apply (zenon_L178_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.42 apply (zenon_L179_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.42 apply (zenon_L180_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.42 apply (zenon_L181_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.42 apply (zenon_L182_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.42 apply (zenon_L183_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.42 apply (zenon_L184_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.42 apply (zenon_L185_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.42 apply (zenon_L194_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.42 apply (zenon_L195_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.42 apply (zenon_L196_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.42 apply (zenon_L197_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.42 apply (zenon_L198_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.42 apply (zenon_L200_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.42 apply (zenon_L204_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.42 apply (zenon_L205_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.42 apply (zenon_L206_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.42 apply (zenon_L207_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.42 apply (zenon_L208_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.42 apply (zenon_L209_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.42 apply (zenon_L210_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.42 apply (zenon_L211_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.42 apply (zenon_L212_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.42 apply (zenon_L213_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.42 apply (zenon_L214_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.42 apply (zenon_L215_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.42 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.42 apply (zenon_L401_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.42 apply (zenon_L216_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.42 apply (zenon_L128_); trivial. % 40.22/40.42 apply (zenon_L158_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.42 apply (zenon_L217_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.42 apply (zenon_L218_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.42 apply (zenon_L219_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.42 apply (zenon_L220_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.42 apply (zenon_L221_); trivial. % 40.22/40.42 apply (zenon_L222_); trivial. % 40.22/40.42 (* end of lemma zenon_L402_ *) % 40.22/40.42 assert (zenon_L403_ : ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H3a zenon_H2b zenon_H6a zenon_H2e zenon_H37 zenon_H261. % 40.22/40.42 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H3b4 | zenon_intro zenon_H3b5 ]. % 40.22/40.42 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H261. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H3b4. % 40.22/40.42 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 40.22/40.42 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b6]. % 40.22/40.42 congruence. % 40.22/40.42 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H3b6. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H3a. % 40.22/40.42 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3ab]. % 40.22/40.42 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d]. % 40.22/40.42 congruence. % 40.22/40.42 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H3b4 | zenon_intro zenon_H3b5 ]. % 40.22/40.42 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e21) = (op2 (e21) (e21)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H53d. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H3b4. % 40.22/40.42 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 40.22/40.42 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 40.22/40.42 congruence. % 40.22/40.42 exact (zenon_H2a zenon_H2b). % 40.22/40.42 apply zenon_H3b5. apply refl_equal. % 40.22/40.42 apply zenon_H3b5. apply refl_equal. % 40.22/40.42 apply (zenon_L228_); trivial. % 40.22/40.42 apply zenon_H3b5. apply refl_equal. % 40.22/40.42 apply zenon_H3b5. apply refl_equal. % 40.22/40.42 (* end of lemma zenon_L403_ *) % 40.22/40.42 assert (zenon_L404_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H3a zenon_H2b zenon_H2e zenon_H37 zenon_H261. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.42 apply (zenon_L21_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.42 apply (zenon_L15_); trivial. % 40.22/40.42 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.42 apply (zenon_L10_); trivial. % 40.22/40.42 apply (zenon_L403_); trivial. % 40.22/40.42 (* end of lemma zenon_L404_ *) % 40.22/40.42 assert (zenon_L405_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.42 do 0 intro. intros zenon_H448 zenon_H42 zenon_Hde zenon_Hc0 zenon_Hce zenon_H37. % 40.22/40.42 cut (((e22) = (op2 (op2 (e20) (e20)) (e20))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 40.22/40.42 intro zenon_D_pnotp. % 40.22/40.42 apply zenon_H448. % 40.22/40.42 rewrite <- zenon_D_pnotp. % 40.22/40.42 exact zenon_H42. % 40.22/40.42 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 40.22/40.42 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 40.22/40.42 congruence. % 40.22/40.42 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H35 | zenon_intro zenon_H30 ]. % 40.22/40.43 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e22) = (op2 (e22) (e22)))). % 40.22/40.43 intro zenon_D_pnotp. % 40.22/40.43 apply zenon_He0. % 40.22/40.43 rewrite <- zenon_D_pnotp. % 40.22/40.43 exact zenon_H35. % 40.22/40.43 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 40.22/40.43 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 40.22/40.43 congruence. % 40.22/40.43 exact (zenon_He1 zenon_Hde). % 40.22/40.43 apply zenon_H30. apply refl_equal. % 40.22/40.43 apply zenon_H30. apply refl_equal. % 40.22/40.43 apply (zenon_L41_); trivial. % 40.22/40.43 (* end of lemma zenon_L405_ *) % 40.22/40.43 assert (zenon_L406_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e21) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44b zenon_H3f6 zenon_He6 zenon_H3a zenon_He5 zenon_H37 zenon_Hce zenon_Hc0 zenon_H42 zenon_H448 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.43 apply (zenon_L21_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.43 apply (zenon_L15_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.43 apply (zenon_L10_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.22/40.43 exact (zenon_H3f6 zenon_H3ed). % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.22/40.43 apply (zenon_L47_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.22/40.43 apply (zenon_L405_); trivial. % 40.22/40.43 exact (zenon_H460 zenon_H441). % 40.22/40.43 (* end of lemma zenon_L406_ *) % 40.22/40.43 assert (zenon_L407_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H44b zenon_H3f6 zenon_H6a zenon_H70 zenon_H3a zenon_H6f zenon_H37 zenon_Hce zenon_Hc0 zenon_H42 zenon_H448 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.22/40.43 exact (zenon_H3f6 zenon_H3ed). % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.22/40.43 apply (zenon_L23_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.22/40.43 apply (zenon_L405_); trivial. % 40.22/40.43 exact (zenon_H460 zenon_H441). % 40.22/40.43 (* end of lemma zenon_L407_ *) % 40.22/40.43 assert (zenon_L408_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44b zenon_H3f6 zenon_H70 zenon_H3a zenon_H6f zenon_H37 zenon_Hce zenon_Hc0 zenon_H42 zenon_H448 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.43 apply (zenon_L21_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.43 apply (zenon_L15_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.43 apply (zenon_L10_); trivial. % 40.22/40.43 apply (zenon_L407_); trivial. % 40.22/40.43 (* end of lemma zenon_L408_ *) % 40.22/40.43 assert (zenon_L409_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44b zenon_H3f6 zenon_H70 zenon_H3a zenon_H6f zenon_H37 zenon_Hce zenon_H42 zenon_H448 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_L408_); trivial. % 40.22/40.43 (* end of lemma zenon_L409_ *) % 40.22/40.43 assert (zenon_L410_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H5f zenon_H3ed zenon_H31 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H455 zenon_H456. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.22/40.43 apply (zenon_L252_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.22/40.43 apply (zenon_L10_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.22/40.43 apply (zenon_L13_); trivial. % 40.22/40.43 apply (zenon_L300_); trivial. % 40.22/40.43 (* end of lemma zenon_L410_ *) % 40.22/40.43 assert (zenon_L411_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23)))))))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H438 zenon_H3ee zenon_H37 zenon_H96 zenon_H42 zenon_H9c zenon_H459 zenon_H59 zenon_H78 zenon_Ha7 zenon_Had zenon_Hb9 zenon_H84 zenon_H5f zenon_H456 zenon_H44 zenon_H3a zenon_H39 zenon_H31 zenon_H448 zenon_Hce zenon_H460 zenon_H44b zenon_Hda zenon_Heb. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.22/40.43 apply (zenon_L44_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.22/40.43 apply (zenon_L410_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.22/40.43 exact (zenon_H95 zenon_H2d). % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.22/40.43 apply (zenon_L405_); trivial. % 40.22/40.43 exact (zenon_H460 zenon_H441). % 40.22/40.43 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.22/40.43 exact (zenon_H460 zenon_H441). % 40.22/40.43 apply (zenon_L327_); trivial. % 40.22/40.43 apply (zenon_L304_); trivial. % 40.22/40.43 (* end of lemma zenon_L411_ *) % 40.22/40.43 assert (zenon_L412_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44b zenon_Hc0 zenon_Hf1 zenon_H9c zenon_H37 zenon_He6 zenon_H3a zenon_He5 zenon_He1 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.43 apply (zenon_L21_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.43 apply (zenon_L15_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.43 apply (zenon_L10_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.22/40.43 apply (zenon_L255_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.22/40.43 apply (zenon_L47_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.22/40.43 exact (zenon_He1 zenon_Hde). % 40.22/40.43 exact (zenon_H460 zenon_H441). % 40.22/40.43 (* end of lemma zenon_L412_ *) % 40.22/40.43 assert (zenon_L413_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (e21))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_H261 zenon_H2e zenon_H460 zenon_He1 zenon_He5 zenon_H3a zenon_H37 zenon_H9c zenon_Hf1 zenon_Hc0 zenon_H44b zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Hac. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a9 ]. % 40.22/40.43 apply (zenon_L224_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H2b | zenon_intro zenon_H3aa ]. % 40.22/40.43 apply (zenon_L404_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha8 ]. % 40.22/40.43 apply (zenon_L412_); trivial. % 40.22/40.43 exact (zenon_Hac zenon_Ha8). % 40.22/40.43 (* end of lemma zenon_L413_ *) % 40.22/40.43 assert (zenon_L414_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44b zenon_Hc0 zenon_Hf1 zenon_H9c zenon_H37 zenon_H70 zenon_H3a zenon_H6f zenon_He1 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.43 apply (zenon_L21_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.43 apply (zenon_L15_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.43 apply (zenon_L10_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.22/40.43 apply (zenon_L255_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.22/40.43 apply (zenon_L23_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.22/40.43 exact (zenon_He1 zenon_Hde). % 40.22/40.43 exact (zenon_H460 zenon_H441). % 40.22/40.43 (* end of lemma zenon_L414_ *) % 40.22/40.43 assert (zenon_L415_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (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 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.43 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H96 zenon_H42 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H44b zenon_Hf1 zenon_H9c zenon_H37 zenon_H70 zenon_H3a zenon_H6f zenon_He1 zenon_H460. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_L414_); trivial. % 40.22/40.43 (* end of lemma zenon_L415_ *) % 40.22/40.43 assert (zenon_L416_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (e21))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H16a zenon_H106 zenon_H128 zenon_H42d zenon_H3a8 zenon_H3a2 zenon_H261 zenon_He5 zenon_Hac zenon_H266 zenon_H1e7 zenon_H1b2 zenon_H537 zenon_H24b zenon_H4a5 zenon_H52a zenon_H269 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H20d zenon_H27f zenon_H29d zenon_H193 zenon_H199 zenon_H32f zenon_H212 zenon_H4b7 zenon_H20c zenon_H259 zenon_H25d zenon_H1a8 zenon_H156 zenon_H53a zenon_H460 zenon_He1 zenon_H6f zenon_H9c zenon_Hf1 zenon_H44b zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H42 zenon_H96 zenon_H3ee zenon_Heb zenon_H78 zenon_H3a zenon_H37. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.22/40.43 apply (zenon_L115_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H421 | zenon_intro zenon_H53b ]. % 40.22/40.43 apply (zenon_L395_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H53c ]. % 40.22/40.43 apply (zenon_L413_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H9d | zenon_intro zenon_H42c ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_L288_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.22/40.43 apply (zenon_L415_); trivial. % 40.22/40.43 apply (zenon_L25_); trivial. % 40.22/40.43 (* end of lemma zenon_L416_ *) % 40.22/40.43 assert (zenon_L417_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.43 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H448 zenon_H42 zenon_Hde zenon_Hce zenon_H37. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_L405_); trivial. % 40.22/40.43 (* end of lemma zenon_L417_ *) % 40.22/40.43 assert (zenon_L418_ : (((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e21) (e23)) = (e21))) -> ((op2 (e21) (e21)) = (e23)) -> False). % 40.22/40.43 do 0 intro. intros zenon_H105 zenon_Hac zenon_H40e. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H100. zenon_intro zenon_H10d. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H45b. zenon_intro zenon_H45a. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H45d. zenon_intro zenon_H45c. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H45d); [ zenon_intro zenon_H40d | zenon_intro zenon_Ha8 ]. % 40.22/40.43 exact (zenon_H40d zenon_H40e). % 40.22/40.43 exact (zenon_Hac zenon_Ha8). % 40.22/40.43 (* end of lemma zenon_L418_ *) % 40.22/40.43 assert (zenon_L419_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (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 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e23) = (op2 (e20) (e20))) -> (~((e21) = (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H47c zenon_H111 zenon_Hda zenon_H31 zenon_H44 zenon_H456 zenon_H5f zenon_Hb9 zenon_Had zenon_Ha7 zenon_H59 zenon_H459 zenon_H438 zenon_H35f zenon_H338 zenon_H333 zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H30b zenon_H316 zenon_H2d6 zenon_H2d3 zenon_H2ca zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H29c zenon_H2a0 zenon_H26f zenon_H275 zenon_H106 zenon_H78 zenon_H6f zenon_H3ee zenon_H96 zenon_H42 zenon_H9c zenon_H53a zenon_H42d zenon_H3a2 zenon_H75 zenon_H261 zenon_H39 zenon_H4d zenon_H3a zenon_H64 zenon_He5 zenon_H44b zenon_H3a8 zenon_H4b7 zenon_H52a zenon_H24b zenon_H4a5 zenon_H29d zenon_H269 zenon_H27f zenon_H32f zenon_H537 zenon_H259 zenon_H25d zenon_H266 zenon_Heb zenon_H37 zenon_H128 zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H448. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H460. zenon_intro zenon_H3df. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H40e. zenon_intro zenon_Hac. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H9d ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.22/40.43 apply (zenon_L115_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a9 ]. % 40.22/40.43 apply (zenon_L402_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H2b | zenon_intro zenon_H3aa ]. % 40.22/40.43 apply (zenon_L404_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha8 ]. % 40.22/40.43 apply (zenon_L406_); trivial. % 40.22/40.43 exact (zenon_Hac zenon_Ha8). % 40.22/40.43 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.22/40.43 apply (zenon_L409_); trivial. % 40.22/40.43 apply (zenon_L25_); trivial. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.43 apply (zenon_L411_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.43 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.22/40.43 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.22/40.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.22/40.43 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 40.22/40.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 40.22/40.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 40.22/40.43 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.43 apply (zenon_L61_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.43 apply (zenon_L62_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.43 apply (zenon_L63_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.43 apply (zenon_L64_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.43 apply (zenon_L65_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.43 apply (zenon_L66_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.43 apply (zenon_L109_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.43 apply (zenon_L113_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.43 apply (zenon_L114_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.43 apply (zenon_L416_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.43 apply (zenon_L127_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.43 apply (zenon_L128_); trivial. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.43 apply (zenon_L131_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H26 | zenon_intro zenon_H10e ]. % 40.22/40.43 apply (zenon_L115_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H2e | zenon_intro zenon_H10f ]. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.43 apply (zenon_L254_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.43 apply (zenon_L28_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H421 | zenon_intro zenon_H53b ]. % 40.22/40.43 apply (zenon_L398_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H53c ]. % 40.22/40.43 apply (zenon_L413_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H9d | zenon_intro zenon_H42c ]. % 40.22/40.43 apply (zenon_L29_); trivial. % 40.22/40.43 apply (zenon_L288_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H70 | zenon_intro zenon_H79 ]. % 40.22/40.43 apply (zenon_L415_); trivial. % 40.22/40.43 apply (zenon_L25_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.43 apply (zenon_L145_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.43 apply (zenon_L147_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.43 apply (zenon_L148_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.43 apply (zenon_L149_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.43 apply (zenon_L150_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.43 apply (zenon_L151_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.43 apply (zenon_L152_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.43 apply (zenon_L153_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.43 apply (zenon_L165_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.43 apply (zenon_L166_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.43 apply (zenon_L167_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.43 apply (zenon_L168_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.43 apply (zenon_L169_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.43 apply (zenon_L170_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.43 apply (zenon_L171_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.43 apply (zenon_L172_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.43 apply (zenon_L173_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.43 apply (zenon_L174_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.43 apply (zenon_L175_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.43 apply (zenon_L176_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.43 apply (zenon_L177_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.43 apply (zenon_L178_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.43 apply (zenon_L179_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.43 apply (zenon_L180_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.43 apply (zenon_L181_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.43 apply (zenon_L182_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.43 apply (zenon_L183_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.43 apply (zenon_L184_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.43 apply (zenon_L185_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.43 apply (zenon_L194_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.43 apply (zenon_L195_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.43 apply (zenon_L196_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.43 apply (zenon_L197_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.43 apply (zenon_L198_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.43 apply (zenon_L200_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.43 apply (zenon_L204_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.43 apply (zenon_L205_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.43 apply (zenon_L206_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.43 apply (zenon_L207_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.43 apply (zenon_L208_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.43 apply (zenon_L209_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.43 apply (zenon_L210_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.43 apply (zenon_L211_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.43 apply (zenon_L212_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.43 apply (zenon_L213_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.43 apply (zenon_L214_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.43 apply (zenon_L215_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.43 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.43 apply (zenon_L416_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.43 apply (zenon_L216_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.43 apply (zenon_L128_); trivial. % 40.22/40.43 apply (zenon_L158_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.43 apply (zenon_L217_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.43 apply (zenon_L218_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.43 apply (zenon_L219_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.43 apply (zenon_L220_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.43 apply (zenon_L221_); trivial. % 40.22/40.43 apply (zenon_L222_); trivial. % 40.22/40.43 apply (zenon_L417_); trivial. % 40.22/40.43 apply (zenon_L418_); trivial. % 40.22/40.43 (* end of lemma zenon_L419_ *) % 40.22/40.43 assert (zenon_L420_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 40.22/40.43 do 0 intro. intros zenon_H3ad zenon_H22 zenon_H424. % 40.22/40.43 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 40.22/40.43 intro zenon_D_pnotp. % 40.22/40.43 apply zenon_H3ad. % 40.22/40.43 rewrite <- zenon_D_pnotp. % 40.22/40.43 exact zenon_H22. % 40.22/40.43 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e]. % 40.22/40.43 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 40.22/40.43 congruence. % 40.22/40.43 apply zenon_H63. apply refl_equal. % 40.22/40.43 apply zenon_H53e. apply sym_equal. exact zenon_H424. % 40.22/40.43 (* end of lemma zenon_L420_ *) % 40.22/40.43 assert (zenon_L421_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.22/40.43 do 0 intro. intros zenon_H3bd zenon_H424 zenon_H3ad zenon_H6a zenon_H3ac zenon_H3a zenon_H261 zenon_Hd8 zenon_H37 zenon_H3b9. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H22 | zenon_intro zenon_H3be ]. % 40.22/40.43 apply (zenon_L420_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H2e | zenon_intro zenon_H3bf ]. % 40.22/40.43 apply (zenon_L229_); trivial. % 40.22/40.43 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H3b8 ]. % 40.22/40.43 apply (zenon_L230_); trivial. % 40.22/40.43 apply (zenon_L231_); trivial. % 40.22/40.43 (* end of lemma zenon_L421_ *) % 40.22/40.43 assert (zenon_L422_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H3bd zenon_H424 zenon_H3ad zenon_H3ac zenon_H3a zenon_H261 zenon_Hd8 zenon_H37 zenon_H3b9. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.22/40.44 apply (zenon_L21_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.22/40.44 apply (zenon_L15_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.22/40.44 apply (zenon_L10_); trivial. % 40.22/40.44 apply (zenon_L421_); trivial. % 40.22/40.44 (* end of lemma zenon_L422_ *) % 40.22/40.44 assert (zenon_L423_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.44 do 0 intro. intros zenon_Hd4 zenon_H96 zenon_H2b zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hc0 zenon_Hce zenon_H37. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.22/40.44 apply (zenon_L28_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.22/40.44 apply (zenon_L226_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.22/40.44 apply (zenon_L40_); trivial. % 40.22/40.44 apply (zenon_L42_); trivial. % 40.22/40.44 (* end of lemma zenon_L423_ *) % 40.22/40.44 assert (zenon_L424_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_Hc0 zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_H2d zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Ha7 zenon_H3a zenon_H37. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a9 ]. % 40.22/40.44 apply (zenon_L224_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H2b | zenon_intro zenon_H3aa ]. % 40.22/40.44 apply (zenon_L423_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha8 ]. % 40.22/40.44 apply (zenon_L48_); trivial. % 40.22/40.44 apply (zenon_L33_); trivial. % 40.22/40.44 (* end of lemma zenon_L424_ *) % 40.22/40.44 assert (zenon_L425_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_H212 zenon_H32f zenon_H199 zenon_H193 zenon_H29d zenon_H27f zenon_H20d zenon_H1ac zenon_H1a7 zenon_H1df zenon_H269 zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H1b2 zenon_H1e7 zenon_H266 zenon_H3a zenon_Ha7 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_H2d zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_Hc0 zenon_Hce zenon_H3a2 zenon_H3a8 zenon_H42 zenon_H9c zenon_H37 zenon_H42d. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H421 | zenon_intro zenon_H53b ]. % 40.22/40.44 apply (zenon_L395_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H53c ]. % 40.22/40.44 apply (zenon_L424_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H9d | zenon_intro zenon_H42c ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_L288_); trivial. % 40.22/40.44 (* end of lemma zenon_L425_ *) % 40.22/40.44 assert (zenon_L426_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H465 zenon_H3a zenon_Had zenon_Hea zenon_H3c1 zenon_Hd8 zenon_H6f zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_H212 zenon_H32f zenon_H199 zenon_H193 zenon_H29d zenon_H27f zenon_H20d zenon_H1ac zenon_H1a7 zenon_H1df zenon_H269 zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H1b2 zenon_H1e7 zenon_H266 zenon_Ha7 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_Hc0 zenon_H3a2 zenon_H3a8 zenon_H42 zenon_H9c zenon_H42d zenon_H3bd zenon_H3ad zenon_H261 zenon_H3b9 zenon_H3a3 zenon_H3c4 zenon_H3f6 zenon_H428 zenon_H117 zenon_H37. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H465); [ zenon_intro zenon_H421 | zenon_intro zenon_H469 ]. % 40.22/40.44 apply (zenon_L395_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H424 | zenon_intro zenon_H46a ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.22/40.44 apply (zenon_L224_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.22/40.44 apply (zenon_L422_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfe ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H94 | zenon_intro zenon_Hff ]. % 40.22/40.44 apply (zenon_L234_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hde | zenon_intro zenon_Hce ]. % 40.22/40.44 apply (zenon_L45_); trivial. % 40.22/40.44 apply (zenon_L425_); trivial. % 40.22/40.44 apply (zenon_L34_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H3ed | zenon_intro zenon_H429 ]. % 40.22/40.44 exact (zenon_H3f6 zenon_H3ed). % 40.22/40.44 apply (zenon_L286_); trivial. % 40.22/40.44 (* end of lemma zenon_L426_ *) % 40.22/40.44 assert (zenon_L427_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.22/40.44 do 0 intro. intros zenon_H4bc zenon_H37 zenon_H117 zenon_H428 zenon_H3f6 zenon_H3c4 zenon_H3a3 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H3bd zenon_H42d zenon_H9c zenon_H42 zenon_H3a8 zenon_H3a2 zenon_Hd0 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Ha7 zenon_H266 zenon_H1e7 zenon_H1b2 zenon_H537 zenon_H24b zenon_H4a5 zenon_H52a zenon_H269 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H20d zenon_H27f zenon_H29d zenon_H193 zenon_H199 zenon_H32f zenon_H212 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H25d zenon_H1a8 zenon_H156 zenon_H53a zenon_H6f zenon_Hd8 zenon_H3c1 zenon_Hea zenon_Had zenon_H3a zenon_H465 zenon_H3ee zenon_Heb zenon_Ha2 zenon_H11d zenon_H57. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.44 apply (zenon_L254_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.44 apply (zenon_L230_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.44 apply (zenon_L254_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.44 apply (zenon_L28_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_L426_); trivial. % 40.22/40.44 apply (zenon_L342_); trivial. % 40.22/40.44 (* end of lemma zenon_L427_ *) % 40.22/40.44 assert (zenon_L428_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((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 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H16a zenon_H464 zenon_H128 zenon_H57 zenon_H11d zenon_Ha2 zenon_Heb zenon_H3ee zenon_H465 zenon_Had zenon_Hea zenon_H3c1 zenon_H6f zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H259 zenon_H20c zenon_H4b7 zenon_H212 zenon_H32f zenon_H199 zenon_H193 zenon_H29d zenon_H27f zenon_H20d zenon_H1ac zenon_H1a7 zenon_H1df zenon_H269 zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H1b2 zenon_H1e7 zenon_H266 zenon_H75 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H96 zenon_Hc7 zenon_Hd0 zenon_H42 zenon_H9c zenon_H42d zenon_H3bd zenon_H3ad zenon_H261 zenon_H3b9 zenon_H3c4 zenon_H3f6 zenon_H428 zenon_H117 zenon_H4bc zenon_Ha7 zenon_He8 zenon_H3a7 zenon_Hd8 zenon_H3a2 zenon_H3a8 zenon_H64 zenon_H3a zenon_H37. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.22/40.44 apply (zenon_L115_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.22/40.44 apply (zenon_L427_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.22/40.44 apply (zenon_L227_); trivial. % 40.22/40.44 apply (zenon_L21_); trivial. % 40.22/40.44 (* end of lemma zenon_L428_ *) % 40.22/40.44 assert (zenon_L429_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H42 zenon_Hde zenon_Hc1 zenon_H37 zenon_H6f. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.44 apply (zenon_L254_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.44 apply (zenon_L28_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_L45_); trivial. % 40.22/40.44 (* end of lemma zenon_L429_ *) % 40.22/40.44 assert (zenon_L430_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_Hea zenon_H424 zenon_H423 zenon_H6f zenon_H3ee zenon_Heb zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H2a0 zenon_H1e7 zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H28d zenon_H1da zenon_H193 zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H1cf zenon_H1b2 zenon_H1ac zenon_H1df zenon_H26f zenon_H259 zenon_H2a1 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H1a7 zenon_H32f zenon_H20d zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H266 zenon_H3a zenon_Ha7 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_H2d zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_Hc0 zenon_H3a2 zenon_H3a8 zenon_H42 zenon_H9c zenon_H37 zenon_H42d. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfe ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H94 | zenon_intro zenon_Hff ]. % 40.22/40.44 apply (zenon_L284_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hde | zenon_intro zenon_Hce ]. % 40.22/40.44 apply (zenon_L429_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H421 | zenon_intro zenon_H53b ]. % 40.22/40.44 apply (zenon_L398_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H53c ]. % 40.22/40.44 apply (zenon_L424_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H9d | zenon_intro zenon_H42c ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_L288_); trivial. % 40.22/40.44 (* end of lemma zenon_L430_ *) % 40.22/40.44 assert (zenon_L431_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H465 zenon_H3a zenon_Had zenon_Hea zenon_H423 zenon_H6f zenon_H3ee zenon_Heb zenon_H53a zenon_H156 zenon_H1a8 zenon_H25d zenon_H2a0 zenon_H1e7 zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H28d zenon_H1da zenon_H193 zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H1cf zenon_H1b2 zenon_H1ac zenon_H1df zenon_H26f zenon_H259 zenon_H2a1 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H1a7 zenon_H32f zenon_H20d zenon_H52a zenon_H4a5 zenon_H24b zenon_H537 zenon_H266 zenon_Ha7 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H3a2 zenon_H3a8 zenon_H42 zenon_H9c zenon_H42d zenon_H3bd zenon_H3ad zenon_H261 zenon_Hd8 zenon_H3b9 zenon_H3a3 zenon_H3c4 zenon_H3f6 zenon_H428 zenon_H117 zenon_H37. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.44 apply (zenon_L254_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.44 apply (zenon_L28_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H465); [ zenon_intro zenon_H421 | zenon_intro zenon_H469 ]. % 40.22/40.44 apply (zenon_L398_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H424 | zenon_intro zenon_H46a ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.22/40.44 apply (zenon_L224_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.22/40.44 apply (zenon_L422_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.22/40.44 apply (zenon_L430_); trivial. % 40.22/40.44 apply (zenon_L34_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H46a); [ zenon_intro zenon_H3ed | zenon_intro zenon_H429 ]. % 40.22/40.44 exact (zenon_H3f6 zenon_H3ed). % 40.22/40.44 apply (zenon_L286_); trivial. % 40.22/40.44 (* end of lemma zenon_L431_ *) % 40.22/40.44 assert (zenon_L432_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.22/40.44 do 0 intro. intros zenon_H4bc zenon_H37 zenon_H117 zenon_H428 zenon_H3f6 zenon_H3c4 zenon_H3a3 zenon_H3b9 zenon_Hd8 zenon_H261 zenon_H3ad zenon_H3bd zenon_H42d zenon_H9c zenon_H42 zenon_H3a8 zenon_H3a2 zenon_Hd0 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Ha7 zenon_H266 zenon_H537 zenon_H24b zenon_H4a5 zenon_H52a zenon_H20d zenon_H32f zenon_H1a7 zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H2a1 zenon_H259 zenon_H26f zenon_H1df zenon_H1ac zenon_H1b2 zenon_H1cf zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H193 zenon_H1da zenon_H28d zenon_H294 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H297 zenon_H15f zenon_H1e7 zenon_H2a0 zenon_H25d zenon_H1a8 zenon_H156 zenon_H53a zenon_Heb zenon_H3ee zenon_H6f zenon_H423 zenon_Hea zenon_Had zenon_H3a zenon_H465 zenon_Ha2 zenon_H11d zenon_H57. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.44 apply (zenon_L254_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.44 apply (zenon_L230_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.44 apply (zenon_L431_); trivial. % 40.22/40.44 apply (zenon_L342_); trivial. % 40.22/40.44 (* end of lemma zenon_L432_ *) % 40.22/40.44 assert (zenon_L433_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e20) = (e22))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((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) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H496 zenon_H111 zenon_H35f zenon_H338 zenon_H333 zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H30b zenon_H316 zenon_H2d6 zenon_H2d3 zenon_H2ca zenon_H423 zenon_H2a0 zenon_H29c zenon_H286 zenon_H28d zenon_H291 zenon_H294 zenon_H2a1 zenon_H26f zenon_H275 zenon_H464 zenon_H3ee zenon_H261 zenon_Heb zenon_H266 zenon_H25d zenon_H259 zenon_H537 zenon_H32f zenon_H27f zenon_H269 zenon_H29d zenon_H4a5 zenon_H24b zenon_H52a zenon_H4b7 zenon_H3c4 zenon_H3c1 zenon_H6f zenon_H53a zenon_H42d zenon_Hd4 zenon_Hd0 zenon_Hc7 zenon_H3a7 zenon_He5 zenon_H3a8 zenon_Hea zenon_H64 zenon_H4d zenon_H39 zenon_H3bd zenon_H3b9 zenon_H3ad zenon_H75 zenon_H3a2 zenon_H428 zenon_H465 zenon_H9c zenon_H42 zenon_H96 zenon_Ha2 zenon_H4bc zenon_H128 zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H9d ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.44 apply (zenon_L61_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.44 apply (zenon_L62_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.44 apply (zenon_L63_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.44 apply (zenon_L64_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.44 apply (zenon_L65_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.44 apply (zenon_L66_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.44 apply (zenon_L109_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.44 apply (zenon_L113_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.44 apply (zenon_L114_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.44 apply (zenon_L428_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.44 apply (zenon_L127_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.44 apply (zenon_L128_); trivial. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.44 apply (zenon_L131_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.22/40.44 apply (zenon_L115_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.22/40.44 apply (zenon_L432_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.22/40.44 apply (zenon_L227_); trivial. % 40.22/40.44 apply (zenon_L21_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.44 apply (zenon_L145_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.44 apply (zenon_L147_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.44 apply (zenon_L148_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.44 apply (zenon_L149_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.44 apply (zenon_L150_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.44 apply (zenon_L151_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.44 apply (zenon_L152_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.44 apply (zenon_L153_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.44 apply (zenon_L165_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.44 apply (zenon_L166_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.44 apply (zenon_L167_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.44 apply (zenon_L168_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.44 apply (zenon_L169_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.44 apply (zenon_L170_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.44 apply (zenon_L171_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.44 apply (zenon_L172_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.44 apply (zenon_L173_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.44 apply (zenon_L174_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.44 apply (zenon_L175_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.44 apply (zenon_L176_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.44 apply (zenon_L177_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.44 apply (zenon_L178_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.44 apply (zenon_L179_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.44 apply (zenon_L180_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.44 apply (zenon_L181_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.44 apply (zenon_L182_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.44 apply (zenon_L183_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.44 apply (zenon_L184_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.44 apply (zenon_L185_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.44 apply (zenon_L194_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.44 apply (zenon_L195_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.44 apply (zenon_L196_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.44 apply (zenon_L197_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.44 apply (zenon_L198_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.44 apply (zenon_L200_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.44 apply (zenon_L204_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.44 apply (zenon_L205_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.44 apply (zenon_L206_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.44 apply (zenon_L207_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.44 apply (zenon_L208_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.44 apply (zenon_L209_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.44 apply (zenon_L210_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.44 apply (zenon_L211_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.44 apply (zenon_L212_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.44 apply (zenon_L213_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.44 apply (zenon_L214_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.44 apply (zenon_L215_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.44 apply (zenon_L428_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.44 apply (zenon_L216_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.44 apply (zenon_L128_); trivial. % 40.22/40.44 apply (zenon_L158_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.44 apply (zenon_L217_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.44 apply (zenon_L218_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.44 apply (zenon_L219_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.44 apply (zenon_L220_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.44 apply (zenon_L221_); trivial. % 40.22/40.44 apply (zenon_L222_); trivial. % 40.22/40.44 apply (zenon_L29_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.44 apply (zenon_L327_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.44 apply (zenon_L237_); trivial. % 40.22/40.44 apply (zenon_L303_); trivial. % 40.22/40.44 (* end of lemma zenon_L433_ *) % 40.22/40.44 assert (zenon_L434_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H23c zenon_H163 zenon_H1bd zenon_H1b2 zenon_H1b8 zenon_H1b9 zenon_H1c6 zenon_H1f5 zenon_H193 zenon_H156 zenon_H1ec zenon_H1ac zenon_H1a8 zenon_H1ed zenon_H1f8 zenon_H1ca zenon_H1e7. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.22/40.44 apply (zenon_L72_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.22/40.44 apply (zenon_L126_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.22/40.44 apply (zenon_L97_); trivial. % 40.22/40.44 apply (zenon_L112_); trivial. % 40.22/40.44 (* end of lemma zenon_L434_ *) % 40.22/40.44 assert (zenon_L435_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H1df zenon_H1a7 zenon_H23c zenon_H163 zenon_H1bd zenon_H1b2 zenon_H1b8 zenon_H1b9 zenon_H1c6 zenon_H1f5 zenon_H193 zenon_H156 zenon_H1ec zenon_H1ac zenon_H1a8 zenon_H1ed zenon_H1f8 zenon_H1e7. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.22/40.44 apply (zenon_L80_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.22/40.44 apply (zenon_L81_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.22/40.44 apply (zenon_L82_); trivial. % 40.22/40.44 apply (zenon_L434_); trivial. % 40.22/40.44 (* end of lemma zenon_L435_ *) % 40.22/40.44 assert (zenon_L436_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e10) = (e11))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H206 zenon_H1e7 zenon_H1f8 zenon_H1a8 zenon_H1ac zenon_H1ec zenon_H156 zenon_H193 zenon_H1f5 zenon_H1c6 zenon_H1b2 zenon_H1bd zenon_H163 zenon_H23c zenon_H1a7 zenon_H1df zenon_H146 zenon_H1fe zenon_H1b9 zenon_H1b8 zenon_H1ca zenon_H201. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.22/40.44 apply (zenon_L435_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.22/40.44 apply (zenon_L99_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.22/40.44 apply (zenon_L83_); trivial. % 40.22/40.44 apply (zenon_L102_); trivial. % 40.22/40.44 (* end of lemma zenon_L436_ *) % 40.22/40.44 assert (zenon_L437_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H291 zenon_H201 zenon_H1b8 zenon_H1b9 zenon_H1fe zenon_H1df zenon_H1a7 zenon_H23c zenon_H163 zenon_H1bd zenon_H1b2 zenon_H1c6 zenon_H1f5 zenon_H1ec zenon_H1ac zenon_H1f8 zenon_H1e7 zenon_H206 zenon_H286 zenon_H285 zenon_H1a8 zenon_H1d5 zenon_H1d4 zenon_H193 zenon_H1da zenon_H156 zenon_H28d. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.22/40.44 apply (zenon_L80_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.22/40.44 apply (zenon_L81_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.22/40.44 apply (zenon_L82_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H146 | zenon_intro zenon_H292 ]. % 40.22/40.44 apply (zenon_L436_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H24a | zenon_intro zenon_H293 ]. % 40.22/40.44 apply (zenon_L135_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1db | zenon_intro zenon_H28c ]. % 40.22/40.44 apply (zenon_L90_); trivial. % 40.22/40.44 apply (zenon_L136_); trivial. % 40.22/40.44 (* end of lemma zenon_L437_ *) % 40.22/40.44 assert (zenon_L438_ : (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e12) (e11)) = (e13)) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H53f zenon_H4c0 zenon_H310 zenon_H431 zenon_H37 zenon_H4a5 zenon_H42 zenon_H246 zenon_H3a. % 40.22/40.44 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))). % 40.22/40.44 intro zenon_D_pnotp. % 40.22/40.44 apply zenon_H53f. % 40.22/40.44 rewrite <- zenon_D_pnotp. % 40.22/40.44 exact zenon_H4c0. % 40.22/40.44 cut (((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H540]. % 40.22/40.44 cut (((h1 (e13)) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H541]. % 40.22/40.44 congruence. % 40.22/40.44 elim (classic ((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [ zenon_intro zenon_H542 | zenon_intro zenon_H543 ]. % 40.22/40.44 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11)))) = ((h1 (e13)) = (h1 (op1 (e12) (e11))))). % 40.22/40.44 intro zenon_D_pnotp. % 40.22/40.44 apply zenon_H541. % 40.22/40.44 rewrite <- zenon_D_pnotp. % 40.22/40.44 exact zenon_H542. % 40.22/40.44 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H543]. % 40.22/40.44 cut (((h1 (op1 (e12) (e11))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H544]. % 40.22/40.44 congruence. % 40.22/40.44 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 40.22/40.44 congruence. % 40.22/40.44 exact (zenon_H311 zenon_H310). % 40.22/40.44 apply zenon_H543. apply refl_equal. % 40.22/40.44 apply zenon_H543. apply refl_equal. % 40.22/40.44 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H545 | zenon_intro zenon_H546 ]. % 40.22/40.44 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e11))))). % 40.22/40.44 intro zenon_D_pnotp. % 40.22/40.44 apply zenon_H540. % 40.22/40.44 rewrite <- zenon_D_pnotp. % 40.22/40.44 exact zenon_H545. % 40.22/40.44 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H546]. % 40.22/40.44 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H547]. % 40.22/40.44 congruence. % 40.22/40.44 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (h1 (e12)) (h1 (e11))) = (op2 (e20) (e20)))). % 40.22/40.44 intro zenon_D_pnotp. % 40.22/40.44 apply zenon_H547. % 40.22/40.44 rewrite <- zenon_D_pnotp. % 40.22/40.44 exact zenon_H431. % 40.22/40.44 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H427]. % 40.22/40.44 cut (((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H548]. % 40.22/40.44 congruence. % 40.22/40.44 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H545 | zenon_intro zenon_H546 ]. % 40.22/40.44 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))). % 40.22/40.44 intro zenon_D_pnotp. % 40.22/40.44 apply zenon_H548. % 40.22/40.44 rewrite <- zenon_D_pnotp. % 40.22/40.44 exact zenon_H545. % 40.22/40.44 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H546]. % 40.22/40.44 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H549]. % 40.22/40.44 congruence. % 40.22/40.44 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.22/40.44 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.44 congruence. % 40.22/40.44 apply (zenon_L336_); trivial. % 40.22/40.44 apply (zenon_L117_); trivial. % 40.22/40.44 apply zenon_H546. apply refl_equal. % 40.22/40.44 apply zenon_H546. apply refl_equal. % 40.22/40.44 exact (zenon_H427 zenon_H37). % 40.22/40.44 apply zenon_H546. apply refl_equal. % 40.22/40.44 apply zenon_H546. apply refl_equal. % 40.22/40.44 (* end of lemma zenon_L438_ *) % 40.22/40.44 assert (zenon_L439_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e21)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H2a1 zenon_H26f zenon_H514 zenon_H199 zenon_H333 zenon_H1cf zenon_H338 zenon_H32f zenon_H3a zenon_H246 zenon_H42 zenon_H4a5 zenon_H37 zenon_H431 zenon_H4c0 zenon_H53f zenon_H214 zenon_H291 zenon_H201 zenon_H1fe zenon_H1df zenon_H1a7 zenon_H23c zenon_H163 zenon_H1f5 zenon_H1ec zenon_H1ac zenon_H1f8 zenon_H206 zenon_H286 zenon_H1da zenon_H28d zenon_H29d zenon_H27f zenon_H29c zenon_H269 zenon_H294 zenon_H192 zenon_H216 zenon_H224 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H172 zenon_H1b8 zenon_H1e7 zenon_H1c6 zenon_H1b9 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.44 exact (zenon_H216 zenon_H213). % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.44 apply (zenon_L132_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.44 exact (zenon_H216 zenon_H213). % 40.22/40.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.44 apply (zenon_L76_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.44 apply (zenon_L77_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H281 | zenon_intro zenon_H295 ]. % 40.22/40.44 apply (zenon_L143_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 40.22/40.44 apply (zenon_L437_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H17f | zenon_intro zenon_H270 ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H514); [ zenon_intro zenon_H19a | zenon_intro zenon_H515 ]. % 40.22/40.44 apply (zenon_L77_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H18e | zenon_intro zenon_H516 ]. % 40.22/40.44 apply (zenon_L379_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H2aa | zenon_intro zenon_H297 ]. % 40.22/40.44 apply (zenon_L380_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H32e | zenon_intro zenon_H33a ]. % 40.22/40.44 apply (zenon_L201_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H310 | zenon_intro zenon_H33b ]. % 40.22/40.44 apply (zenon_L438_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H335 ]. % 40.22/40.44 apply (zenon_L93_); trivial. % 40.22/40.44 apply (zenon_L203_); trivial. % 40.22/40.44 apply (zenon_L124_); trivial. % 40.22/40.44 apply (zenon_L340_); trivial. % 40.22/40.44 (* end of lemma zenon_L439_ *) % 40.22/40.44 assert (zenon_L440_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e11)) = (e13))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e21)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H316 zenon_H28d zenon_H2d7 zenon_H3a zenon_H246 zenon_H42 zenon_H4a5 zenon_H37 zenon_H431 zenon_H4c0 zenon_H53f zenon_H1c6 zenon_H1b9 zenon_H1b8 zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H1f5. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H28c | zenon_intro zenon_H318 ]. % 40.22/40.44 apply (zenon_L136_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H2da | zenon_intro zenon_H319 ]. % 40.22/40.44 exact (zenon_H2d7 zenon_H2da). % 40.22/40.44 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H310 | zenon_intro zenon_H1f4 ]. % 40.22/40.44 apply (zenon_L438_); trivial. % 40.22/40.44 apply (zenon_L126_); trivial. % 40.22/40.44 (* end of lemma zenon_L440_ *) % 40.22/40.44 assert (zenon_L441_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 40.22/40.44 do 0 intro. intros zenon_H2a1 zenon_H259 zenon_H214 zenon_H2ca zenon_H53f zenon_H4c0 zenon_H431 zenon_H37 zenon_H4a5 zenon_H42 zenon_H246 zenon_H3a zenon_H156 zenon_H32f zenon_H338 zenon_H193 zenon_H1cf zenon_H20c zenon_H333 zenon_H199 zenon_H514 zenon_H192 zenon_H224 zenon_H1b8 zenon_H172 zenon_H1c1. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.44 apply (zenon_L106_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.44 apply (zenon_L132_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.44 apply (zenon_L106_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.44 apply (zenon_L76_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.44 apply (zenon_L77_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H514); [ zenon_intro zenon_H19a | zenon_intro zenon_H515 ]. % 40.22/40.44 apply (zenon_L77_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H18e | zenon_intro zenon_H516 ]. % 40.22/40.44 apply (zenon_L379_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H2aa | zenon_intro zenon_H297 ]. % 40.22/40.44 apply (zenon_L380_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H32e | zenon_intro zenon_H33a ]. % 40.22/40.44 apply (zenon_L201_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H310 | zenon_intro zenon_H33b ]. % 40.22/40.44 apply (zenon_L438_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H335 ]. % 40.22/40.44 apply (zenon_L187_); trivial. % 40.22/40.44 apply (zenon_L203_); trivial. % 40.22/40.44 apply (zenon_L338_); trivial. % 40.22/40.44 (* end of lemma zenon_L441_ *) % 40.22/40.44 assert (zenon_L442_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e22) = (e23))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.44 do 0 intro. intros zenon_H3c7 zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H1ff zenon_H4b7 zenon_H29c zenon_H29d zenon_H206 zenon_H1f8 zenon_H1ec zenon_H1fe zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H54a zenon_H3b9 zenon_H3ee zenon_H1b8 zenon_H224 zenon_H192 zenon_H514 zenon_H199 zenon_H333 zenon_H1cf zenon_H193 zenon_H338 zenon_H32f zenon_H246 zenon_H4a5 zenon_H4c0 zenon_H53f zenon_H2ca zenon_H214 zenon_H259 zenon_H2a1 zenon_H5f zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59 zenon_H223. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.44 apply (zenon_L61_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.44 apply (zenon_L62_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.44 apply (zenon_L63_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.44 apply (zenon_L64_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.44 apply (zenon_L65_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.44 apply (zenon_L66_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.44 apply (zenon_L109_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.44 apply (zenon_L113_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.44 apply (zenon_L114_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.22/40.44 apply (zenon_L231_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.22/40.44 apply (zenon_L376_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.22/40.44 apply (zenon_L439_); trivial. % 40.22/40.44 apply (zenon_L335_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.44 apply (zenon_L127_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.44 apply (zenon_L128_); trivial. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.44 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.22/40.44 apply (zenon_L231_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.22/40.44 apply (zenon_L376_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.22/40.44 apply (zenon_L440_); trivial. % 40.22/40.44 apply (zenon_L335_); trivial. % 40.22/40.44 apply (zenon_L123_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.44 apply (zenon_L145_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.44 apply (zenon_L147_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.44 apply (zenon_L148_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.44 apply (zenon_L149_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.44 apply (zenon_L150_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.44 apply (zenon_L151_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.44 apply (zenon_L152_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.44 apply (zenon_L153_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.44 apply (zenon_L165_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.44 apply (zenon_L166_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.44 apply (zenon_L167_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.44 apply (zenon_L168_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.44 apply (zenon_L169_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.44 apply (zenon_L170_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.44 apply (zenon_L171_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.44 apply (zenon_L172_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.44 apply (zenon_L173_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.44 apply (zenon_L174_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.44 apply (zenon_L175_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.44 apply (zenon_L176_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.44 apply (zenon_L177_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.44 apply (zenon_L178_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.44 apply (zenon_L179_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.44 apply (zenon_L180_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.44 apply (zenon_L181_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.44 apply (zenon_L182_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.44 apply (zenon_L183_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.44 apply (zenon_L184_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.44 apply (zenon_L185_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.44 apply (zenon_L194_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.44 apply (zenon_L195_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.44 apply (zenon_L196_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.44 apply (zenon_L197_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.44 apply (zenon_L198_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.44 apply (zenon_L200_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.44 apply (zenon_L204_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.44 apply (zenon_L205_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.44 apply (zenon_L206_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.44 apply (zenon_L207_); trivial. % 40.22/40.44 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.45 apply (zenon_L208_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.45 apply (zenon_L209_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.45 apply (zenon_L210_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.45 apply (zenon_L211_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.45 apply (zenon_L212_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.45 apply (zenon_L213_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.45 apply (zenon_L214_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.45 apply (zenon_L215_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.22/40.45 apply (zenon_L231_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.22/40.45 apply (zenon_L376_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.22/40.45 apply (zenon_L441_); trivial. % 40.22/40.45 apply (zenon_L335_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L216_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_L158_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.45 apply (zenon_L217_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.45 apply (zenon_L218_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.45 apply (zenon_L219_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.45 apply (zenon_L220_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.45 apply (zenon_L221_); trivial. % 40.22/40.45 apply (zenon_L222_); trivial. % 40.22/40.45 (* end of lemma zenon_L442_ *) % 40.22/40.45 assert (zenon_L443_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e22) = (e23))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H47c zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H1ff zenon_H4b7 zenon_H29c zenon_H29d zenon_H206 zenon_H1f8 zenon_H1ec zenon_H1fe zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H44e zenon_H42d zenon_H1b8 zenon_H224 zenon_H192 zenon_H514 zenon_H199 zenon_H333 zenon_H1cf zenon_H193 zenon_H338 zenon_H32f zenon_H3a zenon_H246 zenon_H42 zenon_H4a5 zenon_H37 zenon_H4c0 zenon_H53f zenon_H2ca zenon_H214 zenon_H259 zenon_H2a1 zenon_H3ee zenon_H223. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H460. zenon_intro zenon_H3df. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.45 apply (zenon_L61_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.45 apply (zenon_L62_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.45 apply (zenon_L63_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.45 apply (zenon_L64_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.45 apply (zenon_L65_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.45 apply (zenon_L66_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.45 apply (zenon_L109_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.45 apply (zenon_L113_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.45 apply (zenon_L114_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_H42c | zenon_intro zenon_H450 ]. % 40.22/40.45 apply (zenon_L288_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H431 | zenon_intro zenon_H451 ]. % 40.22/40.45 apply (zenon_L439_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H441 | zenon_intro zenon_H43a ]. % 40.22/40.45 exact (zenon_H460 zenon_H441). % 40.22/40.45 apply (zenon_L313_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L127_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_H42c | zenon_intro zenon_H450 ]. % 40.22/40.45 apply (zenon_L288_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H431 | zenon_intro zenon_H451 ]. % 40.22/40.45 apply (zenon_L440_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H441 | zenon_intro zenon_H43a ]. % 40.22/40.45 exact (zenon_H460 zenon_H441). % 40.22/40.45 apply (zenon_L313_); trivial. % 40.22/40.45 apply (zenon_L123_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.45 apply (zenon_L145_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.45 apply (zenon_L147_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.45 apply (zenon_L148_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.45 apply (zenon_L149_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.45 apply (zenon_L150_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.45 apply (zenon_L151_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.45 apply (zenon_L152_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.45 apply (zenon_L153_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.45 apply (zenon_L165_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.45 apply (zenon_L166_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.45 apply (zenon_L167_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.45 apply (zenon_L168_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.45 apply (zenon_L169_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.45 apply (zenon_L170_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.45 apply (zenon_L171_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.45 apply (zenon_L172_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.45 apply (zenon_L173_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.45 apply (zenon_L174_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.45 apply (zenon_L175_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.45 apply (zenon_L176_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.45 apply (zenon_L177_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.45 apply (zenon_L178_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.45 apply (zenon_L179_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.45 apply (zenon_L180_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.45 apply (zenon_L181_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.45 apply (zenon_L182_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.45 apply (zenon_L183_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.45 apply (zenon_L184_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.45 apply (zenon_L185_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.45 apply (zenon_L194_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.45 apply (zenon_L195_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.45 apply (zenon_L196_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.45 apply (zenon_L197_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.45 apply (zenon_L198_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.45 apply (zenon_L200_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.45 apply (zenon_L204_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.45 apply (zenon_L205_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.45 apply (zenon_L206_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.45 apply (zenon_L207_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.45 apply (zenon_L208_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.45 apply (zenon_L209_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.45 apply (zenon_L210_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.45 apply (zenon_L211_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.45 apply (zenon_L212_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.45 apply (zenon_L213_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.45 apply (zenon_L214_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.45 apply (zenon_L215_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H44e); [ zenon_intro zenon_H42c | zenon_intro zenon_H450 ]. % 40.22/40.45 apply (zenon_L288_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H450); [ zenon_intro zenon_H431 | zenon_intro zenon_H451 ]. % 40.22/40.45 apply (zenon_L441_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H451); [ zenon_intro zenon_H441 | zenon_intro zenon_H43a ]. % 40.22/40.45 exact (zenon_H460 zenon_H441). % 40.22/40.45 apply (zenon_L313_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L216_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_L158_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.45 apply (zenon_L217_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.45 apply (zenon_L218_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.45 apply (zenon_L219_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.45 apply (zenon_L220_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.45 apply (zenon_L221_); trivial. % 40.22/40.45 apply (zenon_L222_); trivial. % 40.22/40.45 (* end of lemma zenon_L443_ *) % 40.22/40.45 assert (zenon_L444_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e22) = (e23))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H496 zenon_H35f zenon_H205 zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H1ff zenon_H4b7 zenon_H29c zenon_H29d zenon_H206 zenon_H1f8 zenon_H1ec zenon_H1fe zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H54a zenon_H3b9 zenon_H3ee zenon_H1b8 zenon_H224 zenon_H192 zenon_H514 zenon_H199 zenon_H333 zenon_H1cf zenon_H193 zenon_H338 zenon_H32f zenon_H3a zenon_H246 zenon_H42 zenon_H4a5 zenon_H37 zenon_H4c0 zenon_H53f zenon_H2ca zenon_H214 zenon_H259 zenon_H2a1 zenon_H59 zenon_H223. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.45 apply (zenon_L61_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.45 apply (zenon_L62_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.45 apply (zenon_L63_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.45 apply (zenon_L64_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.45 apply (zenon_L65_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.45 apply (zenon_L66_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.45 apply (zenon_L109_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.45 apply (zenon_L113_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.45 apply (zenon_L114_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.22/40.45 apply (zenon_L231_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.22/40.45 apply (zenon_L376_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.22/40.45 apply (zenon_L439_); trivial. % 40.22/40.45 apply (zenon_L17_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L127_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H26a ]. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.22/40.45 apply (zenon_L231_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.22/40.45 apply (zenon_L376_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.22/40.45 apply (zenon_L440_); trivial. % 40.22/40.45 apply (zenon_L17_); trivial. % 40.22/40.45 apply (zenon_L123_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.45 apply (zenon_L145_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.45 apply (zenon_L147_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.45 apply (zenon_L148_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.45 apply (zenon_L149_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.45 apply (zenon_L150_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.45 apply (zenon_L151_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.45 apply (zenon_L152_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.45 apply (zenon_L153_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.45 apply (zenon_L165_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.45 apply (zenon_L166_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.45 apply (zenon_L167_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.45 apply (zenon_L168_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.45 apply (zenon_L169_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.45 apply (zenon_L170_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.45 apply (zenon_L171_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.45 apply (zenon_L172_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.45 apply (zenon_L173_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.45 apply (zenon_L174_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.45 apply (zenon_L175_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.45 apply (zenon_L176_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.45 apply (zenon_L177_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.45 apply (zenon_L178_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.45 apply (zenon_L179_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.45 apply (zenon_L180_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.45 apply (zenon_L181_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.45 apply (zenon_L182_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.45 apply (zenon_L183_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.45 apply (zenon_L184_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.45 apply (zenon_L185_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.45 apply (zenon_L194_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.45 apply (zenon_L195_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.45 apply (zenon_L196_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.45 apply (zenon_L197_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.45 apply (zenon_L198_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.45 apply (zenon_L200_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.45 apply (zenon_L204_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.45 apply (zenon_L205_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.45 apply (zenon_L206_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.45 apply (zenon_L207_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.45 apply (zenon_L208_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.45 apply (zenon_L209_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.45 apply (zenon_L210_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.45 apply (zenon_L211_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.45 apply (zenon_L212_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.45 apply (zenon_L213_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.45 apply (zenon_L214_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.45 apply (zenon_L215_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.22/40.45 apply (zenon_L231_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.22/40.45 apply (zenon_L376_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.22/40.45 apply (zenon_L441_); trivial. % 40.22/40.45 apply (zenon_L17_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L216_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_L158_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.45 apply (zenon_L217_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.45 apply (zenon_L218_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.45 apply (zenon_L219_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.45 apply (zenon_L220_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.45 apply (zenon_L221_); trivial. % 40.22/40.45 apply (zenon_L222_); trivial. % 40.22/40.45 (* end of lemma zenon_L444_ *) % 40.22/40.45 assert (zenon_L445_ : ((op2 (e22) (e22)) = (e21)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e12))))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H2d zenon_H4a5 zenon_H42 zenon_H3a zenon_H54d. % 40.22/40.45 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H54e | zenon_intro zenon_H54f ]. % 40.22/40.45 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e12))))). % 40.22/40.45 intro zenon_D_pnotp. % 40.22/40.45 apply zenon_H54d. % 40.22/40.45 rewrite <- zenon_D_pnotp. % 40.22/40.45 exact zenon_H54e. % 40.22/40.45 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54f]. % 40.22/40.45 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H550]. % 40.22/40.45 congruence. % 40.22/40.45 cut (((op2 (e22) (e22)) = (e21)) = ((op2 (h1 (e12)) (h1 (e12))) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))). % 40.22/40.45 intro zenon_D_pnotp. % 40.22/40.45 apply zenon_H550. % 40.22/40.45 rewrite <- zenon_D_pnotp. % 40.22/40.45 exact zenon_H2d. % 40.22/40.45 cut (((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 40.22/40.45 cut (((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H551]. % 40.22/40.45 congruence. % 40.22/40.45 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H54e | zenon_intro zenon_H54f ]. % 40.22/40.45 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))). % 40.22/40.45 intro zenon_D_pnotp. % 40.22/40.45 apply zenon_H551. % 40.22/40.45 rewrite <- zenon_D_pnotp. % 40.22/40.45 exact zenon_H54e. % 40.22/40.45 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54f]. % 40.22/40.45 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H552]. % 40.22/40.45 congruence. % 40.22/40.45 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.45 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.45 congruence. % 40.22/40.45 apply (zenon_L336_); trivial. % 40.22/40.45 apply (zenon_L336_); trivial. % 40.22/40.45 apply zenon_H54f. apply refl_equal. % 40.22/40.45 apply zenon_H54f. apply refl_equal. % 40.22/40.45 exact (zenon_H255 zenon_H3a). % 40.22/40.45 apply zenon_H54f. apply refl_equal. % 40.22/40.45 apply zenon_H54f. apply refl_equal. % 40.22/40.45 (* end of lemma zenon_L445_ *) % 40.22/40.45 assert (zenon_L446_ : (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H553 zenon_H246 zenon_H17f zenon_H2d zenon_H3a zenon_H4a5 zenon_H42. % 40.22/40.45 cut (((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))). % 40.22/40.45 intro zenon_D_pnotp. % 40.22/40.45 apply zenon_H553. % 40.22/40.45 rewrite <- zenon_D_pnotp. % 40.22/40.45 exact zenon_H246. % 40.22/40.45 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H54d]. % 40.22/40.45 cut (((h1 (e11)) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H554]. % 40.22/40.45 congruence. % 40.22/40.45 elim (classic ((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [ zenon_intro zenon_H555 | zenon_intro zenon_H556 ]. % 40.22/40.45 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12)))) = ((h1 (e11)) = (h1 (op1 (e12) (e12))))). % 40.22/40.45 intro zenon_D_pnotp. % 40.22/40.45 apply zenon_H554. % 40.22/40.45 rewrite <- zenon_D_pnotp. % 40.22/40.45 exact zenon_H555. % 40.22/40.45 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H556]. % 40.22/40.45 cut (((h1 (op1 (e12) (e12))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H557]. % 40.22/40.45 congruence. % 40.22/40.45 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 40.22/40.45 congruence. % 40.22/40.45 exact (zenon_H18f zenon_H17f). % 40.22/40.45 apply zenon_H556. apply refl_equal. % 40.22/40.45 apply zenon_H556. apply refl_equal. % 40.22/40.45 apply (zenon_L445_); trivial. % 40.22/40.45 (* end of lemma zenon_L446_ *) % 40.22/40.45 assert (zenon_L447_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e21)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H42 zenon_H4a5 zenon_H3a zenon_H2d zenon_H246 zenon_H553 zenon_H1b2 zenon_H1a8 zenon_H156. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.22/40.45 apply (zenon_L119_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.22/40.45 exact (zenon_H212 zenon_H20e). % 40.22/40.45 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.22/40.45 apply (zenon_L446_); trivial. % 40.22/40.45 apply (zenon_L82_); trivial. % 40.22/40.45 (* end of lemma zenon_L447_ *) % 40.22/40.45 assert (zenon_L448_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H16a zenon_H558 zenon_Hd8 zenon_H11b zenon_H261 zenon_He8 zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H553 zenon_H246 zenon_H4a5 zenon_H42 zenon_H212 zenon_H259 zenon_H20c zenon_H4b7 zenon_H39 zenon_H3a zenon_H37. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H70 | zenon_intro zenon_H559 ]. % 40.22/40.45 apply (zenon_L121_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_He6 | zenon_intro zenon_H55a ]. % 40.22/40.45 exact (zenon_He8 zenon_He6). % 40.22/40.45 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H2d | zenon_intro zenon_H3b ]. % 40.22/40.45 apply (zenon_L447_); trivial. % 40.22/40.45 apply (zenon_L10_); trivial. % 40.22/40.45 (* end of lemma zenon_L448_ *) % 40.22/40.45 assert (zenon_L449_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H2a1 zenon_H259 zenon_H156 zenon_H1a8 zenon_H26f zenon_H553 zenon_H246 zenon_H2d zenon_H3a zenon_H4a5 zenon_H42 zenon_H291 zenon_H201 zenon_H1b8 zenon_H1b9 zenon_H1fe zenon_H1df zenon_H1a7 zenon_H23c zenon_H163 zenon_H1bd zenon_H1b2 zenon_H1c6 zenon_H1f5 zenon_H1ec zenon_H1ac zenon_H1f8 zenon_H1e7 zenon_H206 zenon_H286 zenon_H193 zenon_H1da zenon_H28d zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H294 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H297 zenon_H15f. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.22/40.45 exact (zenon_H216 zenon_H213). % 40.22/40.45 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.22/40.45 apply (zenon_L132_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.45 exact (zenon_H216 zenon_H213). % 40.22/40.45 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.45 apply (zenon_L76_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.45 apply (zenon_L77_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H281 | zenon_intro zenon_H295 ]. % 40.22/40.45 apply (zenon_L143_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 40.22/40.45 apply (zenon_L437_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H17f | zenon_intro zenon_H270 ]. % 40.22/40.45 apply (zenon_L446_); trivial. % 40.22/40.45 apply (zenon_L124_); trivial. % 40.22/40.45 apply (zenon_L140_); trivial. % 40.22/40.45 (* end of lemma zenon_L449_ *) % 40.22/40.45 assert (zenon_L450_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H115 zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H20d zenon_H158 zenon_H16b zenon_H1ff zenon_H1b8 zenon_H29d zenon_H29c zenon_H206 zenon_H1fe zenon_H1ec zenon_H1f8 zenon_H2d3 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H192 zenon_H193 zenon_H199 zenon_H312 zenon_H224 zenon_H2ca zenon_H1df zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H333 zenon_H32f zenon_H338 zenon_H163 zenon_H214 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H558 zenon_Hd8 zenon_H261 zenon_He8 zenon_H1b2 zenon_H553 zenon_H246 zenon_H4a5 zenon_H42 zenon_H259 zenon_H4b7 zenon_H39 zenon_H3a zenon_H37 zenon_H223. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.45 apply (zenon_L61_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.45 apply (zenon_L62_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.45 apply (zenon_L63_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.45 apply (zenon_L64_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.45 apply (zenon_L65_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.45 apply (zenon_L66_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.45 apply (zenon_L109_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.45 apply (zenon_L113_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.45 apply (zenon_L114_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_L448_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L127_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.45 apply (zenon_L131_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H70 | zenon_intro zenon_H559 ]. % 40.22/40.45 apply (zenon_L121_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_He6 | zenon_intro zenon_H55a ]. % 40.22/40.45 exact (zenon_He8 zenon_He6). % 40.22/40.45 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H2d | zenon_intro zenon_H3b ]. % 40.22/40.45 apply (zenon_L449_); trivial. % 40.22/40.45 apply (zenon_L10_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.45 apply (zenon_L145_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.45 apply (zenon_L147_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.45 apply (zenon_L148_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.45 apply (zenon_L149_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.45 apply (zenon_L150_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.45 apply (zenon_L151_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.45 apply (zenon_L152_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.45 apply (zenon_L153_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.45 apply (zenon_L165_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.45 apply (zenon_L166_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.45 apply (zenon_L167_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.45 apply (zenon_L168_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.45 apply (zenon_L169_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.45 apply (zenon_L170_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.45 apply (zenon_L171_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.45 apply (zenon_L172_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.45 apply (zenon_L173_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.45 apply (zenon_L174_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.45 apply (zenon_L175_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.45 apply (zenon_L176_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.45 apply (zenon_L177_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.45 apply (zenon_L178_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.45 apply (zenon_L179_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.45 apply (zenon_L180_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.45 apply (zenon_L181_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.45 apply (zenon_L182_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.45 apply (zenon_L183_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.45 apply (zenon_L184_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.45 apply (zenon_L185_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.45 apply (zenon_L194_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.45 apply (zenon_L195_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.45 apply (zenon_L196_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.45 apply (zenon_L197_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.45 apply (zenon_L198_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.45 apply (zenon_L200_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.45 apply (zenon_L204_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.45 apply (zenon_L205_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.45 apply (zenon_L206_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.45 apply (zenon_L207_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.45 apply (zenon_L208_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.45 apply (zenon_L209_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.45 apply (zenon_L210_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.45 apply (zenon_L211_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.45 apply (zenon_L212_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.45 apply (zenon_L213_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.45 apply (zenon_L214_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.45 apply (zenon_L215_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_L448_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.45 apply (zenon_L216_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.45 apply (zenon_L128_); trivial. % 40.22/40.45 apply (zenon_L158_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.45 apply (zenon_L217_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.45 apply (zenon_L218_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.45 apply (zenon_L219_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.45 apply (zenon_L220_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.45 apply (zenon_L221_); trivial. % 40.22/40.45 apply (zenon_L222_); trivial. % 40.22/40.45 (* end of lemma zenon_L450_ *) % 40.22/40.45 assert (zenon_L451_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H3c7 zenon_H111 zenon_H223 zenon_H4b7 zenon_H259 zenon_H4a5 zenon_H246 zenon_H553 zenon_H1b2 zenon_H558 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H214 zenon_H163 zenon_H338 zenon_H32f zenon_H333 zenon_H32a zenon_H15f zenon_H325 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1df zenon_H2ca zenon_H224 zenon_H312 zenon_H199 zenon_H193 zenon_H192 zenon_H1fb zenon_H28d zenon_H30e zenon_H1e7 zenon_H23c zenon_H201 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H2a1 zenon_H294 zenon_H291 zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H2d6 zenon_H2d3 zenon_H1f8 zenon_H1ec zenon_H1fe zenon_H206 zenon_H29c zenon_H29d zenon_H1b8 zenon_H1ff zenon_H16b zenon_H158 zenon_H20d zenon_H1cf zenon_H1e0 zenon_H205 zenon_H35f zenon_H3c4 zenon_H3bd zenon_H3b9 zenon_H261 zenon_H3ad zenon_Hbc zenon_H78 zenon_Had zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H48 zenon_H5c zenon_H3a2 zenon_H3a7 zenon_Ha7 zenon_H3a8 zenon_Heb zenon_H3c1 zenon_H9c zenon_H96 zenon_H75 zenon_H64 zenon_H4d zenon_H5f zenon_Ha2 zenon_H3a zenon_H39 zenon_H44 zenon_H37 zenon_H42 zenon_H59. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.45 apply (zenon_L450_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.45 apply (zenon_L236_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.45 apply (zenon_L237_); trivial. % 40.22/40.45 apply (zenon_L240_); trivial. % 40.22/40.45 (* end of lemma zenon_L451_ *) % 40.22/40.45 assert (zenon_L452_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((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)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H16a zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H558 zenon_H6f zenon_H460 zenon_H448 zenon_Hce zenon_He5 zenon_H3f6 zenon_H44b zenon_H4d zenon_H64 zenon_H75 zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H553 zenon_H246 zenon_H4a5 zenon_H42 zenon_H212 zenon_H259 zenon_H20c zenon_H4b7 zenon_H39 zenon_H3a zenon_H37. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.45 apply (zenon_L254_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.45 apply (zenon_L28_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.45 apply (zenon_L29_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H70 | zenon_intro zenon_H559 ]. % 40.22/40.45 apply (zenon_L408_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_He6 | zenon_intro zenon_H55a ]. % 40.22/40.45 apply (zenon_L406_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H2d | zenon_intro zenon_H3b ]. % 40.22/40.45 apply (zenon_L447_); trivial. % 40.22/40.45 apply (zenon_L10_); trivial. % 40.22/40.45 (* end of lemma zenon_L452_ *) % 40.22/40.45 assert (zenon_L453_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H16a zenon_Heb zenon_H3ee zenon_H96 zenon_H37 zenon_H44b zenon_Hf1 zenon_H9c zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H553 zenon_H246 zenon_H3a zenon_H4a5 zenon_H42 zenon_H212 zenon_H259 zenon_H20c zenon_H4b7 zenon_He1 zenon_H460. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.45 apply (zenon_L254_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.45 apply (zenon_L28_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.45 apply (zenon_L29_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.22/40.45 apply (zenon_L255_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.22/40.45 apply (zenon_L447_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.22/40.45 exact (zenon_He1 zenon_Hde). % 40.22/40.45 exact (zenon_H460 zenon_H441). % 40.22/40.45 (* end of lemma zenon_L453_ *) % 40.22/40.45 assert (zenon_L454_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (op2 (e22) (e22))) = (e22)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.22/40.45 do 0 intro. intros zenon_H39c zenon_H223 zenon_H460 zenon_He1 zenon_H4b7 zenon_H259 zenon_H42 zenon_H4a5 zenon_H3a zenon_H246 zenon_H553 zenon_H1b2 zenon_H9c zenon_Hf1 zenon_H44b zenon_H37 zenon_H96 zenon_H3ee zenon_Heb zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.45 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.45 apply (zenon_L453_); trivial. % 40.22/40.45 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.46 apply (zenon_L216_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.46 apply (zenon_L128_); trivial. % 40.22/40.46 apply (zenon_L158_); trivial. % 40.22/40.46 (* end of lemma zenon_L454_ *) % 40.22/40.46 assert (zenon_L455_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((e22) = (e23))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 40.22/40.46 do 0 intro. intros zenon_H47c zenon_H111 zenon_Hda zenon_H31 zenon_H44 zenon_H456 zenon_H5f zenon_Hb9 zenon_Had zenon_Ha7 zenon_H78 zenon_H59 zenon_H459 zenon_H438 zenon_H35f zenon_H338 zenon_H333 zenon_H32f zenon_H32a zenon_H325 zenon_H30e zenon_H312 zenon_H30b zenon_H316 zenon_H2d6 zenon_H2d3 zenon_H2ca zenon_H558 zenon_H29d zenon_H29c zenon_H27f zenon_H286 zenon_H28d zenon_H291 zenon_H294 zenon_H2a1 zenon_He5 zenon_H64 zenon_H4d zenon_H39 zenon_H6f zenon_H75 zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_Heb zenon_H4b7 zenon_H3a zenon_H4a5 zenon_H246 zenon_H553 zenon_H259 zenon_H44b zenon_H9c zenon_H42 zenon_H96 zenon_H37 zenon_H3ee zenon_H23c zenon_H223 zenon_H214 zenon_H224 zenon_H206 zenon_H201 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H1fb zenon_H205 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H448. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H460. zenon_intro zenon_H3df. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H40e. zenon_intro zenon_Hac. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H3f6 | zenon_intro zenon_H9d ]. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.46 apply (zenon_L61_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.46 apply (zenon_L62_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.46 apply (zenon_L63_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.46 apply (zenon_L64_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.46 apply (zenon_L65_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.46 apply (zenon_L66_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.46 apply (zenon_L109_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.46 apply (zenon_L113_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.46 apply (zenon_L114_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.46 apply (zenon_L452_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.46 apply (zenon_L127_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.46 apply (zenon_L128_); trivial. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.46 apply (zenon_L131_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.46 apply (zenon_L254_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.46 apply (zenon_L28_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.46 apply (zenon_L29_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H70 | zenon_intro zenon_H559 ]. % 40.22/40.46 apply (zenon_L408_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_He6 | zenon_intro zenon_H55a ]. % 40.22/40.46 apply (zenon_L406_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H2d | zenon_intro zenon_H3b ]. % 40.22/40.46 apply (zenon_L449_); trivial. % 40.22/40.46 apply (zenon_L10_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.46 apply (zenon_L145_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.46 apply (zenon_L147_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.46 apply (zenon_L148_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.46 apply (zenon_L149_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.46 apply (zenon_L150_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.46 apply (zenon_L151_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.46 apply (zenon_L152_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.46 apply (zenon_L153_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.46 apply (zenon_L165_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.46 apply (zenon_L166_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.46 apply (zenon_L167_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.46 apply (zenon_L168_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.46 apply (zenon_L169_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.46 apply (zenon_L170_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.46 apply (zenon_L171_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.46 apply (zenon_L172_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.46 apply (zenon_L173_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.46 apply (zenon_L174_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.46 apply (zenon_L175_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.46 apply (zenon_L176_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.46 apply (zenon_L177_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.46 apply (zenon_L178_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.46 apply (zenon_L179_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.46 apply (zenon_L180_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.46 apply (zenon_L181_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.46 apply (zenon_L182_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.46 apply (zenon_L183_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.46 apply (zenon_L184_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.46 apply (zenon_L185_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.46 apply (zenon_L194_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.46 apply (zenon_L195_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.46 apply (zenon_L196_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.46 apply (zenon_L197_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.46 apply (zenon_L198_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.46 apply (zenon_L200_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.46 apply (zenon_L204_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.46 apply (zenon_L205_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.46 apply (zenon_L206_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.46 apply (zenon_L207_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.46 apply (zenon_L208_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.46 apply (zenon_L209_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.46 apply (zenon_L210_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.46 apply (zenon_L211_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.46 apply (zenon_L212_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.46 apply (zenon_L213_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.46 apply (zenon_L214_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.46 apply (zenon_L215_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.46 apply (zenon_L452_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.46 apply (zenon_L216_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.46 apply (zenon_L128_); trivial. % 40.22/40.46 apply (zenon_L158_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.46 apply (zenon_L217_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.46 apply (zenon_L218_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.46 apply (zenon_L219_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.46 apply (zenon_L220_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.46 apply (zenon_L221_); trivial. % 40.22/40.46 apply (zenon_L222_); trivial. % 40.22/40.46 apply (zenon_L29_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.46 apply (zenon_L411_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.46 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.22/40.46 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.22/40.46 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.22/40.46 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 40.22/40.46 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 40.22/40.46 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 40.22/40.46 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.22/40.46 apply (zenon_L61_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.22/40.46 apply (zenon_L62_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.22/40.46 apply (zenon_L63_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.22/40.46 apply (zenon_L64_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.22/40.46 apply (zenon_L65_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.22/40.46 apply (zenon_L66_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.22/40.46 apply (zenon_L109_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.22/40.46 apply (zenon_L113_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.22/40.46 apply (zenon_L114_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.46 apply (zenon_L453_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.46 apply (zenon_L127_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.46 apply (zenon_L128_); trivial. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.46 apply (zenon_L131_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.46 apply (zenon_L254_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.46 apply (zenon_L28_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.46 apply (zenon_L29_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H70 | zenon_intro zenon_H559 ]. % 40.22/40.46 apply (zenon_L414_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_He6 | zenon_intro zenon_H55a ]. % 40.22/40.46 apply (zenon_L412_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H2d | zenon_intro zenon_H3b ]. % 40.22/40.46 apply (zenon_L449_); trivial. % 40.22/40.46 apply (zenon_L10_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.22/40.46 apply (zenon_L145_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.22/40.46 apply (zenon_L147_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.22/40.46 apply (zenon_L148_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.22/40.46 apply (zenon_L149_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.22/40.46 apply (zenon_L150_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.22/40.46 apply (zenon_L151_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.22/40.46 apply (zenon_L152_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.22/40.46 apply (zenon_L153_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.22/40.46 apply (zenon_L165_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.22/40.46 apply (zenon_L166_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.22/40.46 apply (zenon_L167_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.22/40.46 apply (zenon_L168_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.22/40.46 apply (zenon_L169_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.22/40.46 apply (zenon_L170_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.22/40.46 apply (zenon_L171_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.22/40.46 apply (zenon_L172_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.22/40.46 apply (zenon_L173_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.22/40.46 apply (zenon_L174_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.22/40.46 apply (zenon_L175_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.22/40.46 apply (zenon_L176_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.22/40.46 apply (zenon_L177_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.22/40.46 apply (zenon_L178_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.22/40.46 apply (zenon_L179_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.22/40.46 apply (zenon_L180_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.22/40.46 apply (zenon_L181_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.22/40.46 apply (zenon_L182_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.22/40.46 apply (zenon_L183_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.22/40.46 apply (zenon_L184_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.22/40.46 apply (zenon_L185_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.22/40.46 apply (zenon_L194_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.22/40.46 apply (zenon_L195_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.22/40.46 apply (zenon_L196_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.22/40.46 apply (zenon_L197_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.22/40.46 apply (zenon_L198_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.22/40.46 apply (zenon_L200_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.22/40.46 apply (zenon_L204_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.22/40.46 apply (zenon_L205_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.22/40.46 apply (zenon_L206_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.22/40.46 apply (zenon_L207_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.22/40.46 apply (zenon_L208_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.22/40.46 apply (zenon_L209_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.22/40.46 apply (zenon_L210_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.22/40.46 apply (zenon_L211_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.22/40.46 apply (zenon_L212_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.22/40.46 apply (zenon_L213_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.22/40.46 apply (zenon_L214_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.22/40.46 apply (zenon_L215_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.22/40.46 apply (zenon_L454_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.22/40.46 apply (zenon_L217_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.22/40.46 apply (zenon_L218_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.22/40.46 apply (zenon_L219_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.22/40.46 apply (zenon_L220_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.22/40.46 apply (zenon_L221_); trivial. % 40.22/40.46 apply (zenon_L222_); trivial. % 40.22/40.46 apply (zenon_L417_); trivial. % 40.22/40.46 apply (zenon_L418_); trivial. % 40.22/40.46 (* end of lemma zenon_L455_ *) % 40.22/40.46 assert (zenon_L456_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e12))\/((op1 (e11) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.22/40.46 do 0 intro. intros zenon_H496 zenon_H111 zenon_H223 zenon_H39 zenon_H4b7 zenon_H259 zenon_H42 zenon_H4a5 zenon_H246 zenon_H553 zenon_H1b2 zenon_H261 zenon_H558 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H214 zenon_H163 zenon_H338 zenon_H32f zenon_H333 zenon_H32a zenon_H15f zenon_H325 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1df zenon_H2ca zenon_H224 zenon_H312 zenon_H199 zenon_H193 zenon_H192 zenon_H1fb zenon_H28d zenon_H30e zenon_H1e7 zenon_H23c zenon_H201 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H2a1 zenon_H294 zenon_H291 zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H2d6 zenon_H2d3 zenon_H1f8 zenon_H1ec zenon_H1fe zenon_H206 zenon_H29c zenon_H29d zenon_H1b8 zenon_H1ff zenon_H16b zenon_H158 zenon_H20d zenon_H1cf zenon_H1e0 zenon_H205 zenon_H35f zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.22/40.46 apply (zenon_L450_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.22/40.46 apply (zenon_L327_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.22/40.46 apply (zenon_L237_); trivial. % 40.22/40.46 apply (zenon_L303_); trivial. % 40.22/40.46 (* end of lemma zenon_L456_ *) % 40.22/40.46 assert (zenon_L457_ : ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> False). % 40.22/40.46 do 0 intro. intros zenon_H193 zenon_H55b zenon_H1d4 zenon_H20c zenon_H156 zenon_H55c. % 40.22/40.46 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H26c | zenon_intro zenon_H26d ]. % 40.22/40.46 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H55c. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H26c. % 40.22/40.46 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H26d]. % 40.22/40.46 cut (((op1 (e11) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H55d]. % 40.22/40.46 congruence. % 40.22/40.46 cut (((e12) = (op1 (op1 (e10) (e10)) (e10))) = ((op1 (e11) (e13)) = (op1 (e11) (e11)))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H55d. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H193. % 40.22/40.46 cut (((op1 (op1 (e10) (e10)) (e10)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H50f]. % 40.22/40.46 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55e]. % 40.22/40.46 congruence. % 40.22/40.46 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H26c | zenon_intro zenon_H26d ]. % 40.22/40.46 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H55e. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H26c. % 40.22/40.46 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H26d]. % 40.22/40.46 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H55f]. % 40.22/40.46 congruence. % 40.22/40.46 exact (zenon_H55f zenon_H55b). % 40.22/40.46 apply zenon_H26d. apply refl_equal. % 40.22/40.46 apply zenon_H26d. apply refl_equal. % 40.22/40.46 apply (zenon_L378_); trivial. % 40.22/40.46 apply zenon_H26d. apply refl_equal. % 40.22/40.46 apply zenon_H26d. apply refl_equal. % 40.22/40.46 (* end of lemma zenon_L457_ *) % 40.22/40.46 assert (zenon_L458_ : ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e13))))) -> False). % 40.22/40.46 do 0 intro. intros zenon_Hce zenon_H4a5 zenon_H4c0 zenon_H37 zenon_H42 zenon_H560. % 40.22/40.46 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H561 | zenon_intro zenon_H562 ]. % 40.22/40.46 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e13))))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H560. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H561. % 40.22/40.46 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H562]. % 40.22/40.46 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H563]. % 40.22/40.46 congruence. % 40.22/40.46 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (h1 (e12)) (h1 (e13))) = (op2 (op2 (e20) (e20)) (e20)))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H563. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_Hce. % 40.22/40.46 cut (((e22) = (op2 (op2 (e20) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b2]. % 40.22/40.46 cut (((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H564]. % 40.22/40.46 congruence. % 40.22/40.46 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H561 | zenon_intro zenon_H562 ]. % 40.22/40.46 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H564. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H561. % 40.22/40.46 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H562]. % 40.22/40.46 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H565]. % 40.22/40.46 congruence. % 40.22/40.46 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4bf]. % 40.22/40.46 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.22/40.46 congruence. % 40.22/40.46 apply (zenon_L336_); trivial. % 40.22/40.46 apply (zenon_L347_); trivial. % 40.22/40.46 apply zenon_H562. apply refl_equal. % 40.22/40.46 apply zenon_H562. apply refl_equal. % 40.22/40.46 exact (zenon_H4b2 zenon_H42). % 40.22/40.46 apply zenon_H562. apply refl_equal. % 40.22/40.46 apply zenon_H562. apply refl_equal. % 40.22/40.46 (* end of lemma zenon_L458_ *) % 40.22/40.46 assert (zenon_L459_ : (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.46 do 0 intro. intros zenon_H566 zenon_H297 zenon_Hce zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37. % 40.22/40.46 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H566. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H4a5. % 40.22/40.46 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H560]. % 40.22/40.46 cut (((h1 (e12)) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H567]. % 40.22/40.46 congruence. % 40.22/40.46 elim (classic ((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [ zenon_intro zenon_H568 | zenon_intro zenon_H569 ]. % 40.22/40.46 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13)))) = ((h1 (e12)) = (h1 (op1 (e12) (e13))))). % 40.22/40.46 intro zenon_D_pnotp. % 40.22/40.46 apply zenon_H567. % 40.22/40.46 rewrite <- zenon_D_pnotp. % 40.22/40.46 exact zenon_H568. % 40.22/40.46 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H569]. % 40.22/40.46 cut (((h1 (op1 (e12) (e13))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H56a]. % 40.22/40.46 congruence. % 40.22/40.46 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33e]. % 40.22/40.46 congruence. % 40.22/40.46 exact (zenon_H33e zenon_H297). % 40.22/40.46 apply zenon_H569. apply refl_equal. % 40.22/40.46 apply zenon_H569. apply refl_equal. % 40.22/40.46 apply (zenon_L458_); trivial. % 40.22/40.46 (* end of lemma zenon_L459_ *) % 40.22/40.46 assert (zenon_L460_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.22/40.46 do 0 intro. intros zenon_Hea zenon_H3c1 zenon_Hd8 zenon_H6f zenon_Hc1 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H566 zenon_H297 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.22/40.46 apply (zenon_L254_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.22/40.46 apply (zenon_L28_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.22/40.46 apply (zenon_L29_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfe ]. % 40.22/40.46 apply (zenon_L29_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H94 | zenon_intro zenon_Hff ]. % 40.22/40.46 apply (zenon_L234_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hde | zenon_intro zenon_Hce ]. % 40.22/40.46 apply (zenon_L429_); trivial. % 40.22/40.46 apply (zenon_L459_); trivial. % 40.22/40.46 (* end of lemma zenon_L460_ *) % 40.22/40.46 assert (zenon_L461_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op1 (e12) (e13)) = (e12)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.22/40.46 do 0 intro. intros zenon_H4bc zenon_H261 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H297 zenon_H566 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H6f zenon_Hd8 zenon_H3c1 zenon_Hea zenon_Ha2 zenon_H11d zenon_H57. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.22/40.46 apply (zenon_L254_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.22/40.46 apply (zenon_L230_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.22/40.46 apply (zenon_L460_); trivial. % 40.22/40.46 apply (zenon_L342_); trivial. % 40.22/40.46 (* end of lemma zenon_L461_ *) % 40.22/40.46 assert (zenon_L462_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 40.22/40.46 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1b2 zenon_H1a8 zenon_H1b9 zenon_H1c6 zenon_H1e7 zenon_H17f zenon_H56b zenon_H172 zenon_H1b8 zenon_H55c zenon_H20c zenon_H1d4 zenon_H57 zenon_H11d zenon_Ha2 zenon_Hea zenon_H3c1 zenon_Hd8 zenon_H6f zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H566 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H261 zenon_H4bc zenon_H193 zenon_H156 zenon_H1a7. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.22/40.46 apply (zenon_L78_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.22/40.46 apply (zenon_L86_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.22/40.46 apply (zenon_L93_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H56b); [ zenon_intro zenon_H298 | zenon_intro zenon_H56c ]. % 40.22/40.46 apply (zenon_L338_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H56c); [ zenon_intro zenon_H55b | zenon_intro zenon_H56d ]. % 40.22/40.46 apply (zenon_L457_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H56d); [ zenon_intro zenon_H297 | zenon_intro zenon_H2ab ]. % 40.22/40.46 apply (zenon_L461_); trivial. % 40.22/40.46 apply (zenon_L146_); trivial. % 40.22/40.46 (* end of lemma zenon_L462_ *) % 40.22/40.46 assert (zenon_L463_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> False). % 40.22/40.46 do 0 intro. intros zenon_H36a zenon_H223 zenon_H1e7 zenon_H56b zenon_H55c zenon_H1a7 zenon_H259 zenon_H4b7 zenon_H199 zenon_H192 zenon_H224 zenon_H3ee zenon_H37 zenon_H261 zenon_Hd8 zenon_H3c1 zenon_Heb zenon_H6f zenon_H566 zenon_H4c0 zenon_H4a5 zenon_Hea zenon_H9c zenon_H42 zenon_H96 zenon_Ha2 zenon_H11d zenon_H57 zenon_H4bc zenon_H1a0 zenon_H156 zenon_H1c6 zenon_H1c3 zenon_H193 zenon_H1bd zenon_H1a8 zenon_H1b2 zenon_H1b8 zenon_H275 zenon_H1f5 zenon_H26f zenon_H269 zenon_H25d zenon_H1fb. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.22/40.46 exact (zenon_H216 zenon_H213). % 40.22/40.46 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.22/40.46 apply (zenon_L76_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.22/40.46 apply (zenon_L77_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.22/40.46 apply (zenon_L119_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.22/40.46 exact (zenon_H212 zenon_H20e). % 40.22/40.46 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.22/40.46 apply (zenon_L462_); trivial. % 40.22/40.46 apply (zenon_L82_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.22/40.46 apply (zenon_L127_); trivial. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.22/40.46 apply (zenon_L128_); trivial. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.22/40.46 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.22/40.46 apply (zenon_L131_); trivial. % 40.22/40.46 apply (zenon_L461_); trivial. % 40.22/40.46 (* end of lemma zenon_L463_ *) % 40.22/40.46 assert (zenon_L464_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.22/40.46 do 0 intro. intros zenon_H337 zenon_H4bc zenon_H261 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H566 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H6f zenon_Hd8 zenon_H3c1 zenon_Hea zenon_Ha2 zenon_H11d zenon_H57. % 40.22/40.46 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.22/40.46 apply (zenon_L461_); trivial. % 40.22/40.46 (* end of lemma zenon_L464_ *) % 40.22/40.46 assert (zenon_L465_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e11)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False). % 40.30/40.46 do 0 intro. intros zenon_H224 zenon_H214 zenon_H192 zenon_H199 zenon_H56b zenon_H1c1 zenon_H172 zenon_H1b8 zenon_H55c zenon_H156 zenon_H20c zenon_H193 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_Hce zenon_H566 zenon_H2b0. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.30/40.46 apply (zenon_L106_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.30/40.46 apply (zenon_L76_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.30/40.46 apply (zenon_L77_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H56b); [ zenon_intro zenon_H298 | zenon_intro zenon_H56c ]. % 40.30/40.46 apply (zenon_L338_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H56c); [ zenon_intro zenon_H55b | zenon_intro zenon_H56d ]. % 40.30/40.46 apply (zenon_L457_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H56d); [ zenon_intro zenon_H297 | zenon_intro zenon_H2ab ]. % 40.30/40.46 apply (zenon_L459_); trivial. % 40.30/40.46 exact (zenon_H2b0 zenon_H2ab). % 40.30/40.46 (* end of lemma zenon_L465_ *) % 40.30/40.46 assert (zenon_L466_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((op1 (e11) (e11)) = (e12)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False). % 40.30/40.46 do 0 intro. intros zenon_Hea zenon_H3c1 zenon_Hd8 zenon_H6f zenon_Hc1 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H224 zenon_H214 zenon_H192 zenon_H199 zenon_H56b zenon_H1c1 zenon_H172 zenon_H1b8 zenon_H55c zenon_H156 zenon_H20c zenon_H193 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H566 zenon_H2b0. % 40.30/40.46 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.30/40.46 apply (zenon_L254_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.30/40.46 apply (zenon_L28_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.30/40.46 apply (zenon_L29_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfe ]. % 40.30/40.46 apply (zenon_L29_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H94 | zenon_intro zenon_Hff ]. % 40.30/40.46 apply (zenon_L234_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hde | zenon_intro zenon_Hce ]. % 40.30/40.46 apply (zenon_L429_); trivial. % 40.30/40.46 apply (zenon_L465_); trivial. % 40.30/40.46 (* end of lemma zenon_L466_ *) % 40.30/40.46 assert (zenon_L467_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.30/40.46 do 0 intro. intros zenon_H4bc zenon_H261 zenon_H2b0 zenon_H566 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H193 zenon_H20c zenon_H156 zenon_H55c zenon_H1b8 zenon_H172 zenon_H1c1 zenon_H56b zenon_H199 zenon_H192 zenon_H214 zenon_H224 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H6f zenon_Hd8 zenon_H3c1 zenon_Hea zenon_Ha2 zenon_H11d zenon_H57. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.30/40.46 apply (zenon_L254_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.30/40.46 apply (zenon_L230_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.30/40.46 apply (zenon_L466_); trivial. % 40.30/40.46 apply (zenon_L342_); trivial. % 40.30/40.46 (* end of lemma zenon_L467_ *) % 40.30/40.46 assert (zenon_L468_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> False). % 40.30/40.46 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1b2 zenon_H1a8 zenon_H1b9 zenon_H1c6 zenon_H1e7 zenon_H17f zenon_H56b zenon_H172 zenon_H1b8 zenon_H55c zenon_H20c zenon_H1d4 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_Hce zenon_H566 zenon_H193 zenon_H156 zenon_H1a7. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.30/40.46 apply (zenon_L78_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.30/40.46 apply (zenon_L86_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.30/40.46 apply (zenon_L93_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H56b); [ zenon_intro zenon_H298 | zenon_intro zenon_H56c ]. % 40.30/40.46 apply (zenon_L338_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H56c); [ zenon_intro zenon_H55b | zenon_intro zenon_H56d ]. % 40.30/40.46 apply (zenon_L457_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H56d); [ zenon_intro zenon_H297 | zenon_intro zenon_H2ab ]. % 40.30/40.46 apply (zenon_L459_); trivial. % 40.30/40.46 apply (zenon_L146_); trivial. % 40.30/40.46 (* end of lemma zenon_L468_ *) % 40.30/40.46 assert (zenon_L469_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> False). % 40.30/40.46 do 0 intro. intros zenon_H2de zenon_Hce zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H566 zenon_H1a0 zenon_H156 zenon_H1c6 zenon_H1c3 zenon_H193 zenon_H1bd zenon_H1a8 zenon_H1b2 zenon_H1b9 zenon_H1b8 zenon_H275 zenon_H220 zenon_H1f5 zenon_H26f zenon_H269 zenon_H25d zenon_H1fb. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.30/40.46 apply (zenon_L131_); trivial. % 40.30/40.46 apply (zenon_L459_); trivial. % 40.30/40.46 (* end of lemma zenon_L469_ *) % 40.30/40.46 assert (zenon_L470_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> False). % 40.30/40.46 do 0 intro. intros zenon_H36a zenon_H223 zenon_H1e7 zenon_H56b zenon_H55c zenon_H1a7 zenon_H259 zenon_H4b7 zenon_H199 zenon_H192 zenon_H224 zenon_Hce zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H566 zenon_H1a0 zenon_H156 zenon_H1c6 zenon_H1c3 zenon_H193 zenon_H1bd zenon_H1a8 zenon_H1b2 zenon_H1b8 zenon_H275 zenon_H1f5 zenon_H26f zenon_H269 zenon_H25d zenon_H1fb. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.30/40.46 exact (zenon_H216 zenon_H213). % 40.30/40.46 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.30/40.46 apply (zenon_L76_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.30/40.46 apply (zenon_L77_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.30/40.46 apply (zenon_L119_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.30/40.46 exact (zenon_H212 zenon_H20e). % 40.30/40.46 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.30/40.46 apply (zenon_L468_); trivial. % 40.30/40.46 apply (zenon_L82_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.30/40.46 apply (zenon_L127_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.30/40.46 apply (zenon_L128_); trivial. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.30/40.46 apply (zenon_L469_); trivial. % 40.30/40.46 (* end of lemma zenon_L470_ *) % 40.30/40.46 assert (zenon_L471_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (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 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.30/40.46 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H4b7 zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H224 zenon_H214 zenon_H192 zenon_H199 zenon_H56b zenon_H1b8 zenon_H55c zenon_H193 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_Hce zenon_H566 zenon_H223. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.30/40.46 apply (zenon_L61_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.30/40.46 apply (zenon_L62_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.30/40.46 apply (zenon_L63_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.30/40.46 apply (zenon_L64_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.30/40.46 apply (zenon_L65_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.30/40.46 apply (zenon_L66_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.30/40.46 apply (zenon_L109_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.30/40.46 apply (zenon_L113_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.30/40.46 apply (zenon_L114_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.30/40.46 apply (zenon_L470_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.30/40.46 apply (zenon_L145_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.30/40.46 apply (zenon_L147_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.30/40.46 apply (zenon_L148_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.30/40.46 apply (zenon_L149_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.30/40.46 apply (zenon_L150_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.30/40.46 apply (zenon_L151_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.30/40.46 apply (zenon_L152_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.30/40.46 apply (zenon_L153_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.30/40.46 apply (zenon_L165_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.30/40.46 apply (zenon_L166_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.30/40.46 apply (zenon_L167_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.30/40.46 apply (zenon_L168_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.30/40.46 apply (zenon_L169_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.30/40.46 apply (zenon_L170_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.30/40.46 apply (zenon_L171_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.30/40.46 apply (zenon_L172_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.30/40.46 apply (zenon_L173_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.30/40.46 apply (zenon_L174_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.30/40.46 apply (zenon_L175_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.30/40.46 apply (zenon_L176_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.30/40.46 apply (zenon_L177_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.30/40.46 apply (zenon_L178_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.30/40.46 apply (zenon_L179_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.30/40.46 apply (zenon_L180_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.30/40.46 apply (zenon_L181_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.30/40.46 apply (zenon_L182_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.30/40.46 apply (zenon_L183_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.30/40.46 apply (zenon_L184_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.30/40.46 apply (zenon_L185_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.30/40.46 apply (zenon_L194_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.30/40.46 apply (zenon_L195_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.30/40.46 apply (zenon_L196_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.30/40.46 apply (zenon_L197_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.30/40.46 apply (zenon_L198_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.30/40.46 apply (zenon_L200_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.30/40.46 apply (zenon_L459_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.30/40.46 apply (zenon_L205_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.30/40.46 apply (zenon_L206_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.30/40.46 apply (zenon_L207_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.30/40.46 apply (zenon_L208_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.30/40.46 apply (zenon_L209_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.30/40.46 apply (zenon_L210_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.30/40.46 apply (zenon_L211_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.30/40.46 apply (zenon_L212_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.30/40.46 apply (zenon_L213_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.30/40.46 apply (zenon_L214_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.30/40.46 apply (zenon_L215_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.30/40.46 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.30/40.46 apply (zenon_L465_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.30/40.46 apply (zenon_L216_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.30/40.46 apply (zenon_L128_); trivial. % 40.30/40.46 apply (zenon_L158_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.30/40.46 apply (zenon_L217_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.30/40.46 apply (zenon_L218_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.30/40.46 apply (zenon_L219_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.30/40.46 apply (zenon_L220_); trivial. % 40.30/40.46 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.30/40.46 apply (zenon_L221_); trivial. % 40.30/40.46 apply (zenon_L222_); trivial. % 40.30/40.46 (* end of lemma zenon_L471_ *) % 40.30/40.46 assert (zenon_L472_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (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 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H47c zenon_H35f zenon_H205 zenon_H1e0 zenon_H1cf zenon_H20d zenon_H158 zenon_H16b zenon_H206 zenon_H1ec zenon_H1f8 zenon_H1fe zenon_H1ff zenon_H4b7 zenon_H2d3 zenon_H259 zenon_H2d6 zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H291 zenon_H294 zenon_H2a1 zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H201 zenon_H23c zenon_H1e7 zenon_H30e zenon_H28d zenon_H1fb zenon_H312 zenon_H2ca zenon_H1df zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H30b zenon_H1a0 zenon_H316 zenon_H325 zenon_H15f zenon_H32a zenon_H163 zenon_H1f5 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H224 zenon_H214 zenon_H192 zenon_H199 zenon_H56b zenon_H1b8 zenon_H55c zenon_H193 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H566 zenon_H223. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.30/40.47 apply (zenon_L471_); trivial. % 40.30/40.47 (* end of lemma zenon_L472_ *) % 40.30/40.47 assert (zenon_L473_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = 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(e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H496 zenon_H111 zenon_H223 zenon_Ha2 zenon_Hea zenon_H3c1 zenon_H6f zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H224 zenon_H214 zenon_H192 zenon_H199 zenon_H56b zenon_H1b8 zenon_H55c zenon_H193 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H566 zenon_H261 zenon_H4bc zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5 zenon_H163 zenon_H32a zenon_H15f zenon_H325 zenon_H316 zenon_H1a0 zenon_H30b zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H1df zenon_H2ca zenon_H312 zenon_H1fb zenon_H28d zenon_H30e zenon_H1e7 zenon_H23c zenon_H201 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H2a1 zenon_H294 zenon_H291 zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H2d6 zenon_H259 zenon_H2d3 zenon_H4b7 zenon_H1ff zenon_H1fe zenon_H1f8 zenon_H1ec zenon_H206 zenon_H16b zenon_H158 zenon_H20d zenon_H1cf zenon_H1e0 zenon_H205 zenon_H35f zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.30/40.47 apply (zenon_L61_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.30/40.47 apply (zenon_L62_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.30/40.47 apply (zenon_L63_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.30/40.47 apply (zenon_L64_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.30/40.47 apply (zenon_L65_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.30/40.47 apply (zenon_L66_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.30/40.47 apply (zenon_L109_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.30/40.47 apply (zenon_L113_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.30/40.47 apply (zenon_L114_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.30/40.47 apply (zenon_L463_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.30/40.47 apply (zenon_L145_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.30/40.47 apply (zenon_L147_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.30/40.47 apply (zenon_L148_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.30/40.47 apply (zenon_L149_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.30/40.47 apply (zenon_L150_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.30/40.47 apply (zenon_L151_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.30/40.47 apply (zenon_L152_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.30/40.47 apply (zenon_L153_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.30/40.47 apply (zenon_L165_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.30/40.47 apply (zenon_L166_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.30/40.47 apply (zenon_L167_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.30/40.47 apply (zenon_L168_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.30/40.47 apply (zenon_L169_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.30/40.47 apply (zenon_L170_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.30/40.47 apply (zenon_L171_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.30/40.47 apply (zenon_L172_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.30/40.47 apply (zenon_L173_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.30/40.47 apply (zenon_L174_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.30/40.47 apply (zenon_L175_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.30/40.47 apply (zenon_L176_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.30/40.47 apply (zenon_L177_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.30/40.47 apply (zenon_L178_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.30/40.47 apply (zenon_L179_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.30/40.47 apply (zenon_L180_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.30/40.47 apply (zenon_L181_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.30/40.47 apply (zenon_L182_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.30/40.47 apply (zenon_L183_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.30/40.47 apply (zenon_L184_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.30/40.47 apply (zenon_L185_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.30/40.47 apply (zenon_L194_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.30/40.47 apply (zenon_L195_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.30/40.47 apply (zenon_L196_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.30/40.47 apply (zenon_L197_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.30/40.47 apply (zenon_L198_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.30/40.47 apply (zenon_L200_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.30/40.47 apply (zenon_L464_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.30/40.47 apply (zenon_L205_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.30/40.47 apply (zenon_L206_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.30/40.47 apply (zenon_L207_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.30/40.47 apply (zenon_L208_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.30/40.47 apply (zenon_L209_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.30/40.47 apply (zenon_L210_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.30/40.47 apply (zenon_L211_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.30/40.47 apply (zenon_L212_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.30/40.47 apply (zenon_L213_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.30/40.47 apply (zenon_L214_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.30/40.47 apply (zenon_L215_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.30/40.47 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.30/40.47 apply (zenon_L467_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.30/40.47 apply (zenon_L216_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.30/40.47 apply (zenon_L128_); trivial. % 40.30/40.47 apply (zenon_L158_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.30/40.47 apply (zenon_L217_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.30/40.47 apply (zenon_L218_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.30/40.47 apply (zenon_L219_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.30/40.47 apply (zenon_L220_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.30/40.47 apply (zenon_L221_); trivial. % 40.30/40.47 apply (zenon_L222_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.30/40.47 apply (zenon_L327_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.30/40.47 apply (zenon_L237_); trivial. % 40.30/40.47 apply (zenon_L303_); trivial. % 40.30/40.47 (* end of lemma zenon_L473_ *) % 40.30/40.47 assert (zenon_L474_ : ((h1 (e10)) = (e20)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e20) = (h1 (op1 (e13) (e11))))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H24b zenon_H1ee zenon_H56e. % 40.30/40.47 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H56f | zenon_intro zenon_H570 ]. % 40.30/40.47 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((e20) = (h1 (op1 (e13) (e11))))). % 40.30/40.47 intro zenon_D_pnotp. % 40.30/40.47 apply zenon_H56e. % 40.30/40.47 rewrite <- zenon_D_pnotp. % 40.30/40.47 exact zenon_H56f. % 40.30/40.47 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H570]. % 40.30/40.47 cut (((h1 (op1 (e13) (e11))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H571]. % 40.30/40.47 congruence. % 40.30/40.47 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e13) (e11))) = (e20))). % 40.30/40.47 intro zenon_D_pnotp. % 40.30/40.47 apply zenon_H571. % 40.30/40.47 rewrite <- zenon_D_pnotp. % 40.30/40.47 exact zenon_H24b. % 40.30/40.47 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H40]. % 40.30/40.47 cut (((h1 (e10)) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H572]. % 40.30/40.47 congruence. % 40.30/40.47 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H56f | zenon_intro zenon_H570 ]. % 40.30/40.47 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((h1 (e10)) = (h1 (op1 (e13) (e11))))). % 40.30/40.47 intro zenon_D_pnotp. % 40.30/40.47 apply zenon_H572. % 40.30/40.47 rewrite <- zenon_D_pnotp. % 40.30/40.47 exact zenon_H56f. % 40.30/40.47 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H570]. % 40.30/40.47 cut (((h1 (op1 (e13) (e11))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H573]. % 40.30/40.47 congruence. % 40.30/40.47 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H574]. % 40.30/40.47 congruence. % 40.30/40.47 exact (zenon_H574 zenon_H1ee). % 40.30/40.47 apply zenon_H570. apply refl_equal. % 40.30/40.47 apply zenon_H570. apply refl_equal. % 40.30/40.47 apply zenon_H40. apply refl_equal. % 40.30/40.47 apply zenon_H570. apply refl_equal. % 40.30/40.47 apply zenon_H570. apply refl_equal. % 40.30/40.47 (* end of lemma zenon_L474_ *) % 40.30/40.47 assert (zenon_L475_ : ((op2 (e23) (e21)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> ((op1 (e13) (e11)) = (e10)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H4a zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H1ee zenon_H575. % 40.30/40.47 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H576 | zenon_intro zenon_H577 ]. % 40.30/40.47 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))). % 40.30/40.47 intro zenon_D_pnotp. % 40.30/40.47 apply zenon_H575. % 40.30/40.47 rewrite <- zenon_D_pnotp. % 40.30/40.47 exact zenon_H576. % 40.30/40.47 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H577]. % 40.30/40.47 cut (((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H578]. % 40.30/40.47 congruence. % 40.30/40.47 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))). % 40.30/40.47 intro zenon_D_pnotp. % 40.30/40.47 apply zenon_H578. % 40.30/40.47 rewrite <- zenon_D_pnotp. % 40.30/40.47 exact zenon_H4a. % 40.30/40.47 cut (((e20) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H56e]. % 40.30/40.47 cut (((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H579]. % 40.30/40.47 congruence. % 40.30/40.47 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H576 | zenon_intro zenon_H577 ]. % 40.30/40.47 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))). % 40.30/40.47 intro zenon_D_pnotp. % 40.30/40.47 apply zenon_H579. % 40.30/40.47 rewrite <- zenon_D_pnotp. % 40.30/40.47 exact zenon_H576. % 40.30/40.47 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H577]. % 40.30/40.47 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H57a]. % 40.30/40.47 congruence. % 40.30/40.47 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 40.30/40.47 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4bf]. % 40.30/40.47 congruence. % 40.30/40.47 apply (zenon_L347_); trivial. % 40.30/40.47 apply (zenon_L117_); trivial. % 40.30/40.47 apply zenon_H577. apply refl_equal. % 40.30/40.47 apply zenon_H577. apply refl_equal. % 40.30/40.47 apply (zenon_L474_); trivial. % 40.30/40.47 apply zenon_H577. apply refl_equal. % 40.30/40.47 apply zenon_H577. apply refl_equal. % 40.30/40.47 (* end of lemma zenon_L475_ *) % 40.30/40.47 assert (zenon_L476_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.30/40.47 apply (zenon_L97_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.30/40.47 apply (zenon_L475_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.30/40.47 apply (zenon_L101_); trivial. % 40.30/40.47 apply (zenon_L103_); trivial. % 40.30/40.47 (* end of lemma zenon_L476_ *) % 40.30/40.47 assert (zenon_L477_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op2 (e23) (e21)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H205 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4a zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1e0 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1c6 zenon_H1cf zenon_H1da zenon_H1a0 zenon_H1fb zenon_H207 zenon_H17e zenon_H193 zenon_H156 zenon_H1ec. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.30/40.47 exact (zenon_H216 zenon_H213). % 40.30/40.47 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.30/40.47 apply (zenon_L76_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.30/40.47 apply (zenon_L77_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.30/40.47 apply (zenon_L78_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.30/40.47 apply (zenon_L91_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.30/40.47 apply (zenon_L93_); trivial. % 40.30/40.47 apply (zenon_L476_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.30/40.47 exact (zenon_H207 zenon_H20c). % 40.30/40.47 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.30/40.47 exact (zenon_H17e zenon_H18e). % 40.30/40.47 apply (zenon_L95_); trivial. % 40.30/40.47 (* end of lemma zenon_L477_ *) % 40.30/40.47 assert (zenon_L478_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e11) (e11)) = (e12))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.30/40.47 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H1ec zenon_H156 zenon_H193 zenon_H17e zenon_H207 zenon_H1fb zenon_H1a0 zenon_H1da zenon_H1cf zenon_H1c6 zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1e0 zenon_H1e7 zenon_H17f zenon_H206 zenon_H1f5 zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H205 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.30/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.30/40.47 apply (zenon_L18_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.30/40.47 apply (zenon_L477_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.30/40.47 apply (zenon_L32_); trivial. % 40.30/40.47 apply (zenon_L36_); trivial. % 40.30/40.47 (* end of lemma zenon_L478_ *) % 40.30/40.47 assert (zenon_L479_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H235 zenon_H20d zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H224 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H17f zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H17e zenon_H205 zenon_H199 zenon_H156 zenon_H193 zenon_H192 zenon_H216 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.30/40.47 apply (zenon_L478_); trivial. % 40.30/40.47 apply (zenon_L105_); trivial. % 40.30/40.47 (* end of lemma zenon_L479_ *) % 40.30/40.47 assert (zenon_L480_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.30/40.47 do 0 intro. intros zenon_H206 zenon_H1f5 zenon_H1c1 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.30/40.47 apply (zenon_L97_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.30/40.47 apply (zenon_L475_); trivial. % 40.30/40.47 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.30/40.47 apply (zenon_L83_); trivial. % 40.30/40.47 apply (zenon_L103_); trivial. % 40.30/40.47 (* end of lemma zenon_L480_ *) % 40.30/40.47 assert (zenon_L481_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H17f zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.32/40.47 apply (zenon_L78_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.32/40.47 apply (zenon_L86_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.32/40.47 apply (zenon_L93_); trivial. % 40.32/40.47 apply (zenon_L480_); trivial. % 40.32/40.47 (* end of lemma zenon_L481_ *) % 40.32/40.47 assert (zenon_L482_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.47 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.47 apply (zenon_L18_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.47 apply (zenon_L476_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.47 apply (zenon_L32_); trivial. % 40.32/40.47 apply (zenon_L36_); trivial. % 40.32/40.47 (* end of lemma zenon_L482_ *) % 40.32/40.47 assert (zenon_L483_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H23c zenon_H163 zenon_H238 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.32/40.47 apply (zenon_L72_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.32/40.47 exact (zenon_H238 zenon_H1f4). % 40.32/40.47 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.32/40.47 apply (zenon_L482_); trivial. % 40.32/40.47 apply (zenon_L188_); trivial. % 40.32/40.47 (* end of lemma zenon_L483_ *) % 40.32/40.47 assert (zenon_L484_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H23b zenon_H23c zenon_H163 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H146. zenon_intro zenon_H23d. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H148. zenon_intro zenon_H23e. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.32/40.47 apply (zenon_L483_); trivial. % 40.32/40.47 (* end of lemma zenon_L484_ *) % 40.32/40.47 assert (zenon_L485_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H39 zenon_H44 zenon_H5c zenon_H49 zenon_H3a zenon_H4d zenon_H48 zenon_H37 zenon_H42 zenon_H59. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.32/40.47 apply (zenon_L30_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.32/40.47 apply (zenon_L10_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.32/40.47 apply (zenon_L13_); trivial. % 40.32/40.47 apply (zenon_L18_); trivial. % 40.32/40.47 (* end of lemma zenon_L485_ *) % 40.32/40.47 assert (zenon_L486_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op2 (e23) (e21)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H201 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4a zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H4b8 ]. % 40.32/40.47 apply (zenon_L119_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H20e | zenon_intro zenon_H4b9 ]. % 40.32/40.47 exact (zenon_H212 zenon_H20e). % 40.32/40.47 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1b3 ]. % 40.32/40.47 apply (zenon_L481_); trivial. % 40.32/40.47 apply (zenon_L82_); trivial. % 40.32/40.47 (* end of lemma zenon_L486_ *) % 40.32/40.47 assert (zenon_L487_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.47 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H44 zenon_H39 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H201 zenon_H212 zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.47 apply (zenon_L485_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.47 apply (zenon_L486_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.47 apply (zenon_L32_); trivial. % 40.32/40.47 apply (zenon_L36_); trivial. % 40.32/40.47 (* end of lemma zenon_L487_ *) % 40.32/40.47 assert (zenon_L488_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H16a zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H44 zenon_H39 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H201 zenon_H212 zenon_H259 zenon_H20c zenon_H4b7 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.32/40.47 apply (zenon_L487_); trivial. % 40.32/40.47 (* end of lemma zenon_L488_ *) % 40.32/40.47 assert (zenon_L489_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1eb zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.32/40.47 apply (zenon_L78_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.32/40.47 apply (zenon_L86_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.32/40.47 exact (zenon_H1eb zenon_H1e6). % 40.32/40.47 apply (zenon_L480_); trivial. % 40.32/40.47 (* end of lemma zenon_L489_ *) % 40.32/40.47 assert (zenon_L490_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.47 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.47 apply (zenon_L18_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.47 apply (zenon_L489_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.47 apply (zenon_L32_); trivial. % 40.32/40.47 apply (zenon_L36_); trivial. % 40.32/40.47 (* end of lemma zenon_L490_ *) % 40.32/40.47 assert (zenon_L491_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H2a1 zenon_H259 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H201 zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H1da zenon_H28d zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H294 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H297 zenon_H15f. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H213 | zenon_intro zenon_H2a4 ]. % 40.32/40.47 exact (zenon_H216 zenon_H213). % 40.32/40.47 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1db | zenon_intro zenon_H2a5 ]. % 40.32/40.47 apply (zenon_L132_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H298 ]. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.32/40.47 exact (zenon_H216 zenon_H213). % 40.32/40.47 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.32/40.47 apply (zenon_L76_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.32/40.47 apply (zenon_L77_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H281 | zenon_intro zenon_H295 ]. % 40.32/40.47 apply (zenon_L143_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H285 | zenon_intro zenon_H296 ]. % 40.32/40.47 apply (zenon_L137_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H17f | zenon_intro zenon_H270 ]. % 40.32/40.47 apply (zenon_L481_); trivial. % 40.32/40.47 apply (zenon_L124_); trivial. % 40.32/40.47 apply (zenon_L140_); trivial. % 40.32/40.47 (* end of lemma zenon_L491_ *) % 40.32/40.47 assert (zenon_L492_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.47 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H28d zenon_H1da zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H26f zenon_H1a8 zenon_H156 zenon_H259 zenon_H2a1 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.47 apply (zenon_L18_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.47 apply (zenon_L491_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.47 apply (zenon_L32_); trivial. % 40.32/40.47 apply (zenon_L36_); trivial. % 40.32/40.47 (* end of lemma zenon_L492_ *) % 40.32/40.47 assert (zenon_L493_ : (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H218 zenon_H2a1 zenon_H15f zenon_H192 zenon_H199 zenon_H294 zenon_H26f zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H29c zenon_H212 zenon_H269 zenon_H29d zenon_H224 zenon_H20c zenon_H259 zenon_H216 zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ac zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1df zenon_H201 zenon_H1a7 zenon_H206 zenon_H1b8 zenon_H1b9 zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.32/40.47 apply (zenon_L490_); trivial. % 40.32/40.47 apply (zenon_L492_); trivial. % 40.32/40.47 (* end of lemma zenon_L493_ *) % 40.32/40.47 assert (zenon_L494_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H2cb zenon_H1c6 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1e7. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.32/40.47 apply (zenon_L80_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.32/40.47 apply (zenon_L81_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.32/40.47 apply (zenon_L82_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.32/40.47 apply (zenon_L72_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.32/40.47 apply (zenon_L155_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.32/40.47 apply (zenon_L482_); trivial. % 40.32/40.47 apply (zenon_L112_); trivial. % 40.32/40.47 (* end of lemma zenon_L494_ *) % 40.32/40.47 assert (zenon_L495_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H2df zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1e7. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H280. zenon_intro zenon_H2e0. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2c5. zenon_intro zenon_H140. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.32/40.47 apply (zenon_L494_); trivial. % 40.32/40.47 (* end of lemma zenon_L495_ *) % 40.32/40.47 assert (zenon_L496_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H315 zenon_H23c zenon_H163 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H18e. zenon_intro zenon_H317. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H18f. zenon_intro zenon_H23e. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.32/40.47 apply (zenon_L483_); trivial. % 40.32/40.47 (* end of lemma zenon_L496_ *) % 40.32/40.47 assert (zenon_L497_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 40.32/40.47 do 0 intro. intros zenon_H57b zenon_H2da zenon_H1f4. % 40.32/40.47 cut (((op1 (e11) (e11)) = (e13)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))). % 40.32/40.47 intro zenon_D_pnotp. % 40.32/40.47 apply zenon_H57b. % 40.32/40.47 rewrite <- zenon_D_pnotp. % 40.32/40.47 exact zenon_H2da. % 40.32/40.47 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f7]. % 40.32/40.47 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27d]. % 40.32/40.47 congruence. % 40.32/40.47 apply zenon_H27d. apply refl_equal. % 40.32/40.47 apply zenon_H1f7. apply sym_equal. exact zenon_H1f4. % 40.32/40.47 (* end of lemma zenon_L497_ *) % 40.32/40.47 assert (zenon_L498_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> False). % 40.32/40.47 do 0 intro. intros zenon_H1f8 zenon_H1ed zenon_H1a8 zenon_H1ac zenon_H1ec zenon_H156 zenon_H193 zenon_H57b zenon_H2da. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1ee | zenon_intro zenon_H1f9 ]. % 40.32/40.47 apply (zenon_L94_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1fa ]. % 40.32/40.47 apply (zenon_L81_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f4 ]. % 40.32/40.47 apply (zenon_L95_); trivial. % 40.32/40.47 apply (zenon_L497_); trivial. % 40.32/40.47 (* end of lemma zenon_L498_ *) % 40.32/40.47 assert (zenon_L499_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H206 zenon_H2da zenon_H57b zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.32/40.47 apply (zenon_L498_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.32/40.47 apply (zenon_L475_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.32/40.47 apply (zenon_L101_); trivial. % 40.32/40.47 apply (zenon_L103_); trivial. % 40.32/40.47 (* end of lemma zenon_L499_ *) % 40.32/40.47 assert (zenon_L500_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H30b zenon_H1eb zenon_H206 zenon_H2da zenon_H57b zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.32/40.47 apply (zenon_L78_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.32/40.47 apply (zenon_L186_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.32/40.47 exact (zenon_H1eb zenon_H1e6). % 40.32/40.47 apply (zenon_L499_); trivial. % 40.32/40.47 (* end of lemma zenon_L500_ *) % 40.32/40.47 assert (zenon_L501_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H39c zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.32/40.47 apply (zenon_L482_); trivial. % 40.32/40.47 (* end of lemma zenon_L501_ *) % 40.32/40.47 assert (zenon_L502_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (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))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.32/40.47 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1cf zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H1c3 zenon_H1b8 zenon_H259 zenon_H224 zenon_H29d zenon_H29c zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H28d zenon_H291 zenon_H294 zenon_H192 zenon_H2a1 zenon_H44 zenon_H39 zenon_H5f zenon_H4b7 zenon_H223 zenon_H1c6 zenon_H2ca zenon_H1bd zenon_H199 zenon_H1e7 zenon_H23c zenon_H325 zenon_H15f zenon_H32a zenon_Ha2 zenon_Ha3 zenon_H1fb zenon_H1a0 zenon_H30b zenon_H57b zenon_H163 zenon_H26f zenon_H269 zenon_H25d zenon_H275 zenon_H214 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.32/40.47 apply (zenon_L61_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.32/40.47 apply (zenon_L62_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.32/40.47 apply (zenon_L63_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.32/40.47 apply (zenon_L64_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.32/40.47 apply (zenon_L65_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.32/40.47 apply (zenon_L66_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.47 apply (zenon_L73_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.47 apply (zenon_L74_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.32/40.47 apply (zenon_L479_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.47 apply (zenon_L18_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.47 apply (zenon_L481_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.47 apply (zenon_L30_); trivial. % 40.32/40.47 apply (zenon_L36_); trivial. % 40.32/40.47 apply (zenon_L108_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.32/40.47 apply (zenon_L484_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.32/40.47 apply (zenon_L114_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.47 apply (zenon_L488_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.47 apply (zenon_L127_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.47 apply (zenon_L128_); trivial. % 40.32/40.47 apply (zenon_L493_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.32/40.47 apply (zenon_L145_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.32/40.47 apply (zenon_L147_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.32/40.47 apply (zenon_L148_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.32/40.47 apply (zenon_L149_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.32/40.47 apply (zenon_L150_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.32/40.47 apply (zenon_L151_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.32/40.47 apply (zenon_L152_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.32/40.47 apply (zenon_L153_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.32/40.47 apply (zenon_L495_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.32/40.47 apply (zenon_L166_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.32/40.47 apply (zenon_L167_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.32/40.47 apply (zenon_L168_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.32/40.47 apply (zenon_L169_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.32/40.47 apply (zenon_L170_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.32/40.47 apply (zenon_L171_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.32/40.47 apply (zenon_L172_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.32/40.47 apply (zenon_L173_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.32/40.47 apply (zenon_L174_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.32/40.47 apply (zenon_L175_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.32/40.47 apply (zenon_L176_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.32/40.47 apply (zenon_L177_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.32/40.47 apply (zenon_L178_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.32/40.47 apply (zenon_L179_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.32/40.47 apply (zenon_L180_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.32/40.47 apply (zenon_L181_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.32/40.47 apply (zenon_L182_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.32/40.47 apply (zenon_L183_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.32/40.47 apply (zenon_L184_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.32/40.47 apply (zenon_L185_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.32/40.47 apply (zenon_L496_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.32/40.47 apply (zenon_L195_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.32/40.47 apply (zenon_L196_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.32/40.47 apply (zenon_L197_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.32/40.47 apply (zenon_L198_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.32/40.47 apply (zenon_L200_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.32/40.47 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.47 apply (zenon_L18_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.47 apply (zenon_L500_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.47 apply (zenon_L30_); trivial. % 40.32/40.47 apply (zenon_L36_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.32/40.47 apply (zenon_L205_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.32/40.47 apply (zenon_L206_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.32/40.47 apply (zenon_L207_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.32/40.47 apply (zenon_L208_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.32/40.47 apply (zenon_L209_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.32/40.47 apply (zenon_L210_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.32/40.47 apply (zenon_L211_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.32/40.47 apply (zenon_L212_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.32/40.47 apply (zenon_L213_); trivial. % 40.32/40.47 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.32/40.48 apply (zenon_L214_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.32/40.48 apply (zenon_L215_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.32/40.48 apply (zenon_L501_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.32/40.48 apply (zenon_L217_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.32/40.48 apply (zenon_L218_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.32/40.48 apply (zenon_L219_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.32/40.48 apply (zenon_L220_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.32/40.48 apply (zenon_L221_); trivial. % 40.32/40.48 apply (zenon_L222_); trivial. % 40.32/40.48 (* end of lemma zenon_L502_ *) % 40.32/40.48 assert (zenon_L503_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((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)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((e21) = (e23))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H75 zenon_H64 zenon_H12c zenon_H7f zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4 zenon_H214 zenon_H275 zenon_H25d zenon_H269 zenon_H26f zenon_H163 zenon_H57b zenon_H30b zenon_H1a0 zenon_H1fb zenon_Ha3 zenon_Ha2 zenon_H32a zenon_H15f zenon_H325 zenon_H23c zenon_H1e7 zenon_H199 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_H223 zenon_H4b7 zenon_H5f zenon_H39 zenon_H44 zenon_H2a1 zenon_H192 zenon_H294 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H29c zenon_H29d zenon_H224 zenon_H259 zenon_H1b8 zenon_H1c3 zenon_H16b zenon_H158 zenon_H20d zenon_H1e0 zenon_H1cf zenon_H205 zenon_H35f zenon_H128. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.32/40.48 apply (zenon_L21_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.32/40.48 apply (zenon_L15_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.32/40.48 apply (zenon_L10_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.32/40.48 apply (zenon_L26_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.32/40.48 apply (zenon_L335_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.32/40.48 apply (zenon_L502_); trivial. % 40.32/40.48 apply (zenon_L56_); trivial. % 40.32/40.48 (* end of lemma zenon_L503_ *) % 40.32/40.48 assert (zenon_L504_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H222 zenon_H223 zenon_H16b zenon_H15f zenon_H158 zenon_H163 zenon_H20d zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H224 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H150 zenon_H156. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.48 apply (zenon_L73_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.48 apply (zenon_L74_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.32/40.48 apply (zenon_L479_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.48 apply (zenon_L18_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.48 apply (zenon_L481_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.48 apply (zenon_L32_); trivial. % 40.32/40.48 apply (zenon_L36_); trivial. % 40.32/40.48 apply (zenon_L108_); trivial. % 40.32/40.48 (* end of lemma zenon_L504_ *) % 40.32/40.48 assert (zenon_L505_ : (((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13)))))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H16a zenon_Hbc zenon_H59 zenon_H57 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H201 zenon_H212 zenon_H259 zenon_H20c zenon_H4b7 zenon_H3ed zenon_H31 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.48 apply (zenon_L18_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.48 apply (zenon_L486_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.48 apply (zenon_L252_); trivial. % 40.32/40.48 apply (zenon_L36_); trivial. % 40.32/40.48 (* end of lemma zenon_L505_ *) % 40.32/40.48 assert (zenon_L506_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e20) = (e21))) -> False). % 40.32/40.48 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_H6a zenon_Hb4. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.48 apply (zenon_L18_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.48 apply (zenon_L489_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.48 apply (zenon_L32_); trivial. % 40.32/40.48 apply (zenon_L35_); trivial. % 40.32/40.48 (* end of lemma zenon_L506_ *) % 40.32/40.48 assert (zenon_L507_ : (((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H218 zenon_H2a1 zenon_H15f zenon_H192 zenon_H199 zenon_H294 zenon_H26f zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H29c zenon_H212 zenon_H269 zenon_H29d zenon_H224 zenon_H20c zenon_H259 zenon_H216 zenon_Hb9 zenon_Had zenon_Ha7 zenon_H78 zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ac zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1df zenon_H201 zenon_H1a7 zenon_H206 zenon_H1b8 zenon_H1b9 zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_Ha5 zenon_Hb4 zenon_H6a zenon_Hbc. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.32/40.48 apply (zenon_L506_); trivial. % 40.32/40.48 apply (zenon_L492_); trivial. % 40.32/40.48 (* end of lemma zenon_L507_ *) % 40.32/40.48 assert (zenon_L508_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H337 zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H57b zenon_H206 zenon_H30b zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.48 apply (zenon_L18_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.48 apply (zenon_L500_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.48 apply (zenon_L32_); trivial. % 40.32/40.48 apply (zenon_L36_); trivial. % 40.32/40.48 (* end of lemma zenon_L508_ *) % 40.32/40.48 assert (zenon_L509_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H75 zenon_H64 zenon_H12c zenon_H7f zenon_H44 zenon_H39 zenon_H31 zenon_H3ed zenon_H5f zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H128. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.32/40.48 apply (zenon_L21_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.32/40.48 apply (zenon_L15_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.32/40.48 apply (zenon_L10_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.32/40.48 apply (zenon_L26_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.32/40.48 apply (zenon_L253_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.32/40.48 apply (zenon_L482_); trivial. % 40.32/40.48 apply (zenon_L56_); trivial. % 40.32/40.48 (* end of lemma zenon_L509_ *) % 40.32/40.48 assert (zenon_L510_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.48 do 0 intro. intros zenon_Hbc zenon_H126 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.48 apply (zenon_L53_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.48 apply (zenon_L481_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.48 apply (zenon_L32_); trivial. % 40.32/40.48 apply (zenon_L36_); trivial. % 40.32/40.48 (* end of lemma zenon_L510_ *) % 40.32/40.48 assert (zenon_L511_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H222 zenon_H223 zenon_H16b zenon_H15f zenon_H158 zenon_H163 zenon_H20d zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H224 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H126 zenon_H150 zenon_H156. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.48 apply (zenon_L73_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.48 apply (zenon_L74_); trivial. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.32/40.48 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.32/40.48 apply (zenon_L479_); trivial. % 40.32/40.48 apply (zenon_L510_); trivial. % 40.32/40.48 apply (zenon_L108_); trivial. % 40.32/40.48 (* end of lemma zenon_L511_ *) % 40.32/40.48 assert (zenon_L512_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e21)) = (e23))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.32/40.48 do 0 intro. intros zenon_H36a zenon_H223 zenon_H4b7 zenon_H126 zenon_H275 zenon_H25d zenon_H2a1 zenon_H15f zenon_H192 zenon_H199 zenon_H294 zenon_H26f zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H29c zenon_H269 zenon_H29d zenon_H224 zenon_H259 zenon_Hb9 zenon_Had zenon_Ha7 zenon_H78 zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ac zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1df zenon_H201 zenon_H1a7 zenon_H206 zenon_H1b8 zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_Ha5 zenon_Hb4 zenon_H6a zenon_Hbc. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.32/40.48 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L53_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L486_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 apply (zenon_L35_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.49 apply (zenon_L127_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.49 apply (zenon_L128_); trivial. % 40.32/40.49 apply (zenon_L507_); trivial. % 40.32/40.49 (* end of lemma zenon_L512_ *) % 40.32/40.49 assert (zenon_L513_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H35f zenon_H205 zenon_H1cf zenon_H1e0 zenon_H20d zenon_H158 zenon_H16b zenon_H6a zenon_H1c3 zenon_H1b8 zenon_H259 zenon_H224 zenon_H29d zenon_H29c zenon_H27f zenon_H150 zenon_H286 zenon_H1da zenon_H28d zenon_H291 zenon_H294 zenon_H192 zenon_H2a1 zenon_H4b7 zenon_H223 zenon_H1c6 zenon_H2ca zenon_H1bd zenon_H199 zenon_H1e7 zenon_H23c zenon_H325 zenon_H15f zenon_H32a zenon_H1fb zenon_H1a0 zenon_H30b zenon_H57b zenon_H126 zenon_H163 zenon_H26f zenon_H269 zenon_H25d zenon_H275 zenon_H214 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.32/40.49 apply (zenon_L61_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.32/40.49 apply (zenon_L62_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.32/40.49 apply (zenon_L63_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.32/40.49 apply (zenon_L64_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.32/40.49 apply (zenon_L65_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.32/40.49 apply (zenon_L66_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.32/40.49 apply (zenon_L511_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.32/40.49 apply (zenon_L484_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.32/40.49 apply (zenon_L114_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.32/40.49 apply (zenon_L512_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.32/40.49 apply (zenon_L145_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.32/40.49 apply (zenon_L147_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.32/40.49 apply (zenon_L148_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.32/40.49 apply (zenon_L149_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.32/40.49 apply (zenon_L150_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.32/40.49 apply (zenon_L151_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.32/40.49 apply (zenon_L152_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.32/40.49 apply (zenon_L153_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.32/40.49 apply (zenon_L495_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.32/40.49 apply (zenon_L166_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.32/40.49 apply (zenon_L167_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.32/40.49 apply (zenon_L168_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.32/40.49 apply (zenon_L169_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.32/40.49 apply (zenon_L170_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.32/40.49 apply (zenon_L171_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.32/40.49 apply (zenon_L172_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.32/40.49 apply (zenon_L173_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.32/40.49 apply (zenon_L174_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.32/40.49 apply (zenon_L175_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.32/40.49 apply (zenon_L176_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.32/40.49 apply (zenon_L177_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.32/40.49 apply (zenon_L178_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.32/40.49 apply (zenon_L179_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.32/40.49 apply (zenon_L180_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.32/40.49 apply (zenon_L181_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.32/40.49 apply (zenon_L182_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.32/40.49 apply (zenon_L183_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.32/40.49 apply (zenon_L184_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.32/40.49 apply (zenon_L185_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.32/40.49 apply (zenon_L496_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.32/40.49 apply (zenon_L195_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.32/40.49 apply (zenon_L196_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.32/40.49 apply (zenon_L197_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.32/40.49 apply (zenon_L198_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.32/40.49 apply (zenon_L200_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L53_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L500_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 apply (zenon_L36_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.32/40.49 apply (zenon_L205_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.32/40.49 apply (zenon_L206_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.32/40.49 apply (zenon_L207_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.32/40.49 apply (zenon_L208_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.32/40.49 apply (zenon_L209_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.32/40.49 apply (zenon_L210_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.32/40.49 apply (zenon_L211_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.32/40.49 apply (zenon_L212_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.32/40.49 apply (zenon_L213_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.32/40.49 apply (zenon_L214_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.32/40.49 apply (zenon_L215_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.32/40.49 apply (zenon_L501_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.32/40.49 apply (zenon_L217_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.32/40.49 apply (zenon_L218_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.32/40.49 apply (zenon_L219_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.32/40.49 apply (zenon_L220_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.32/40.49 apply (zenon_L221_); trivial. % 40.32/40.49 apply (zenon_L222_); trivial. % 40.32/40.49 (* end of lemma zenon_L513_ *) % 40.32/40.49 assert (zenon_L514_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 40.32/40.49 do 0 intro. intros zenon_H57c zenon_H40e zenon_H58. % 40.32/40.49 cut (((op2 (e21) (e21)) = (e23)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))). % 40.32/40.49 intro zenon_D_pnotp. % 40.32/40.49 apply zenon_H57c. % 40.32/40.49 rewrite <- zenon_D_pnotp. % 40.32/40.49 exact zenon_H40e. % 40.32/40.49 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 40.32/40.49 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 40.32/40.49 congruence. % 40.32/40.49 apply zenon_H3b5. apply refl_equal. % 40.32/40.49 apply zenon_H5b. apply sym_equal. exact zenon_H58. % 40.32/40.49 (* end of lemma zenon_L514_ *) % 40.32/40.49 assert (zenon_L515_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H57 zenon_Ha5 zenon_H124. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L476_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 (* end of lemma zenon_L515_ *) % 40.32/40.49 assert (zenon_L516_ : ((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H233 zenon_H224 zenon_H1fb zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H206 zenon_H201 zenon_H1ff zenon_H246 zenon_H4c0 zenon_H24b zenon_H575 zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_Ha5 zenon_H124 zenon_Hbc zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H17f zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H17e zenon_H205 zenon_H199 zenon_H156 zenon_H193 zenon_H192 zenon_H20d zenon_H235. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.32/40.49 exact (zenon_H216 zenon_H213). % 40.32/40.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.32/40.49 apply (zenon_L76_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.32/40.49 apply (zenon_L77_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.32/40.49 apply (zenon_L78_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.32/40.49 apply (zenon_L91_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.32/40.49 apply (zenon_L93_); trivial. % 40.32/40.49 apply (zenon_L515_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.32/40.49 exact (zenon_H207 zenon_H20c). % 40.32/40.49 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.32/40.49 exact (zenon_H17e zenon_H18e). % 40.32/40.49 apply (zenon_L95_); trivial. % 40.32/40.49 apply (zenon_L105_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L481_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 (* end of lemma zenon_L516_ *) % 40.32/40.49 assert (zenon_L517_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H206 zenon_H238 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.32/40.49 apply (zenon_L110_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.32/40.49 apply (zenon_L475_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.32/40.49 apply (zenon_L101_); trivial. % 40.32/40.49 apply (zenon_L103_); trivial. % 40.32/40.49 (* end of lemma zenon_L517_ *) % 40.32/40.49 assert (zenon_L518_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H238 zenon_H206 zenon_H57 zenon_Ha5 zenon_H124. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L517_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 (* end of lemma zenon_L518_ *) % 40.32/40.49 assert (zenon_L519_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H23c zenon_H163 zenon_H124 zenon_Ha5 zenon_H57 zenon_H206 zenon_H238 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.32/40.49 apply (zenon_L72_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.32/40.49 exact (zenon_H238 zenon_H1f4). % 40.32/40.49 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.32/40.49 apply (zenon_L518_); trivial. % 40.32/40.49 apply (zenon_L188_); trivial. % 40.32/40.49 (* end of lemma zenon_L519_ *) % 40.32/40.49 assert (zenon_L520_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_H124. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L489_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 (* end of lemma zenon_L520_ *) % 40.32/40.49 assert (zenon_L521_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H206 zenon_H1f5 zenon_H1c1 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H2cb zenon_H2ca zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.32/40.49 apply (zenon_L97_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.32/40.49 apply (zenon_L475_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.32/40.49 apply (zenon_L154_); trivial. % 40.32/40.49 apply (zenon_L103_); trivial. % 40.32/40.49 (* end of lemma zenon_L521_ *) % 40.32/40.49 assert (zenon_L522_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H2ca zenon_H2cb zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1c1 zenon_H1f5 zenon_H206 zenon_H57 zenon_Ha5 zenon_H124. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L521_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 (* end of lemma zenon_L522_ *) % 40.32/40.49 assert (zenon_L523_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e23) (e23)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H23c zenon_H163 zenon_H1bd zenon_H1c6 zenon_H124 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H2cb zenon_H2ca zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1e7. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.32/40.49 apply (zenon_L80_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.32/40.49 apply (zenon_L81_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.32/40.49 apply (zenon_L82_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.32/40.49 apply (zenon_L72_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.32/40.49 apply (zenon_L155_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.32/40.49 apply (zenon_L522_); trivial. % 40.32/40.49 apply (zenon_L112_); trivial. % 40.32/40.49 (* end of lemma zenon_L523_ *) % 40.32/40.49 assert (zenon_L524_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H57b zenon_H2da zenon_H206 zenon_H57 zenon_Ha5 zenon_H124. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L499_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 (* end of lemma zenon_L524_ *) % 40.32/40.49 assert (zenon_L525_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e23)) = (e20))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H30b zenon_H1eb zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H37 zenon_H246 zenon_H3a zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H57b zenon_H2da zenon_H206 zenon_H57 zenon_Ha5 zenon_H124. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.32/40.49 apply (zenon_L78_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.32/40.49 apply (zenon_L186_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.32/40.49 exact (zenon_H1eb zenon_H1e6). % 40.32/40.49 apply (zenon_L524_); trivial. % 40.32/40.49 (* end of lemma zenon_L525_ *) % 40.32/40.49 assert (zenon_L526_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e13) (e13)) = (e10))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H206 zenon_H1f5 zenon_H193 zenon_H156 zenon_H1ec zenon_H1ac zenon_H1a8 zenon_H1f8 zenon_H575 zenon_H24b zenon_H3a zenon_H246 zenon_H37 zenon_H4c0 zenon_H4a zenon_H1c1 zenon_H1ff zenon_H179. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1ed | zenon_intro zenon_H209 ]. % 40.32/40.49 apply (zenon_L97_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ee | zenon_intro zenon_H20a ]. % 40.32/40.49 apply (zenon_L475_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1ba | zenon_intro zenon_H17c ]. % 40.32/40.49 apply (zenon_L101_); trivial. % 40.32/40.49 exact (zenon_H179 zenon_H17c). % 40.32/40.49 (* end of lemma zenon_L526_ *) % 40.32/40.49 assert (zenon_L527_ : (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H115 zenon_H7f zenon_H16b zenon_H15f zenon_H156 zenon_H158 zenon_H150 zenon_H163 zenon_H20d zenon_H192 zenon_H193 zenon_H199 zenon_H205 zenon_H1a0 zenon_H1df zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H1b2 zenon_H1ac zenon_H1a8 zenon_H1a7 zenon_H1e7 zenon_Hbc zenon_Ha5 zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_H48 zenon_H4d zenon_H3a zenon_H37 zenon_H42 zenon_H59 zenon_H57 zenon_H5c zenon_H1fb zenon_H224 zenon_H223 zenon_H23c zenon_H4b7 zenon_H259 zenon_H275 zenon_H26f zenon_H269 zenon_H25d zenon_H29d zenon_H29c zenon_H27f zenon_H286 zenon_H28d zenon_H291 zenon_H294 zenon_H2a1 zenon_H2ca zenon_H214 zenon_H325 zenon_H32a zenon_H30b zenon_H57b zenon_H35f. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H121. zenon_intro zenon_H120. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H123. zenon_intro zenon_H122. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H7e ]. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.32/40.49 apply (zenon_L61_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.32/40.49 apply (zenon_L62_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.32/40.49 apply (zenon_L63_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.32/40.49 apply (zenon_L64_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.32/40.49 apply (zenon_L65_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.32/40.49 apply (zenon_L66_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.49 apply (zenon_L73_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.49 apply (zenon_L74_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.32/40.49 apply (zenon_L516_); trivial. % 40.32/40.49 apply (zenon_L108_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H146. zenon_intro zenon_H23d. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H148. zenon_intro zenon_H23e. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.32/40.49 apply (zenon_L519_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.32/40.49 apply (zenon_L114_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L486_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.49 apply (zenon_L127_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.49 apply (zenon_L128_); trivial. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.32/40.49 apply (zenon_L520_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L491_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.32/40.49 apply (zenon_L145_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.32/40.49 apply (zenon_L147_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.32/40.49 apply (zenon_L148_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.32/40.49 apply (zenon_L149_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.32/40.49 apply (zenon_L150_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.32/40.49 apply (zenon_L151_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.32/40.49 apply (zenon_L152_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.32/40.49 apply (zenon_L153_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H280. zenon_intro zenon_H2e0. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2c5. zenon_intro zenon_H140. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.32/40.49 apply (zenon_L523_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.32/40.49 apply (zenon_L166_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.32/40.49 apply (zenon_L167_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.32/40.49 apply (zenon_L168_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.32/40.49 apply (zenon_L169_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.32/40.49 apply (zenon_L170_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.32/40.49 apply (zenon_L171_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.32/40.49 apply (zenon_L172_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.32/40.49 apply (zenon_L173_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.32/40.49 apply (zenon_L174_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.32/40.49 apply (zenon_L175_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.32/40.49 apply (zenon_L176_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.32/40.49 apply (zenon_L177_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.32/40.49 apply (zenon_L178_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.32/40.49 apply (zenon_L179_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.32/40.49 apply (zenon_L180_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.32/40.49 apply (zenon_L181_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.32/40.49 apply (zenon_L182_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.32/40.49 apply (zenon_L183_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.32/40.49 apply (zenon_L184_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.32/40.49 apply (zenon_L185_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H18e. zenon_intro zenon_H317. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H18f. zenon_intro zenon_H23e. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.32/40.49 apply (zenon_L519_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.32/40.49 apply (zenon_L195_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.32/40.49 apply (zenon_L196_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.32/40.49 apply (zenon_L197_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.32/40.49 apply (zenon_L198_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.32/40.49 apply (zenon_L200_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.32/40.49 apply (zenon_L525_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.32/40.49 apply (zenon_L205_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.32/40.49 apply (zenon_L206_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.32/40.49 apply (zenon_L207_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.32/40.49 apply (zenon_L208_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.32/40.49 apply (zenon_L209_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.32/40.49 apply (zenon_L210_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.32/40.49 apply (zenon_L211_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.32/40.49 apply (zenon_L212_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.32/40.49 apply (zenon_L213_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.32/40.49 apply (zenon_L214_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.32/40.49 apply (zenon_L215_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.32/40.49 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H179 | zenon_intro zenon_H162 ]. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L526_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 exact (zenon_H124 zenon_Hb3). % 40.32/40.49 apply (zenon_L72_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.49 apply (zenon_L216_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.49 apply (zenon_L128_); trivial. % 40.32/40.49 apply (zenon_L158_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.32/40.49 apply (zenon_L217_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.32/40.49 apply (zenon_L218_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.32/40.49 apply (zenon_L219_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.32/40.49 apply (zenon_L220_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.32/40.49 apply (zenon_L221_); trivial. % 40.32/40.49 apply (zenon_L222_); trivial. % 40.32/40.49 apply (zenon_L26_); trivial. % 40.32/40.49 (* end of lemma zenon_L527_ *) % 40.32/40.49 assert (zenon_L528_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = 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(e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H12c zenon_H40e zenon_H57c zenon_H35f zenon_H57b zenon_H30b zenon_H32a zenon_H325 zenon_H214 zenon_H2ca zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H29c zenon_H29d zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H259 zenon_H4b7 zenon_H23c zenon_H223 zenon_H224 zenon_H1fb zenon_H5c zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H206 zenon_H201 zenon_H1ff zenon_H246 zenon_H4c0 zenon_H24b zenon_H575 zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_Ha5 zenon_Hbc zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H7f zenon_H115 zenon_H6a zenon_H128. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.32/40.49 apply (zenon_L26_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.32/40.49 apply (zenon_L514_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.32/40.49 apply (zenon_L527_); trivial. % 40.32/40.49 apply (zenon_L56_); trivial. % 40.32/40.49 (* end of lemma zenon_L528_ *) % 40.32/40.49 assert (zenon_L529_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23)))))))))) -> (~((e21) = (e23))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H75 zenon_H64 zenon_H39 zenon_H12c zenon_H40e zenon_H57c zenon_H35f zenon_H57b zenon_H30b zenon_H32a zenon_H325 zenon_H214 zenon_H2ca zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H29c zenon_H29d zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H259 zenon_H4b7 zenon_H23c zenon_H223 zenon_H224 zenon_H1fb zenon_H5c zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H206 zenon_H201 zenon_H1ff zenon_H246 zenon_H4c0 zenon_H24b zenon_H575 zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_Ha5 zenon_Hbc zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H7f zenon_H115 zenon_H128. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.32/40.49 apply (zenon_L21_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.32/40.49 apply (zenon_L15_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.32/40.49 apply (zenon_L10_); trivial. % 40.32/40.49 apply (zenon_L528_); trivial. % 40.32/40.49 (* end of lemma zenon_L529_ *) % 40.32/40.49 assert (zenon_L530_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H44b zenon_H456 zenon_H455 zenon_H42 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H37 zenon_H6a zenon_H70 zenon_H3a zenon_H6f zenon_He1 zenon_H460. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.32/40.49 apply (zenon_L410_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.32/40.49 apply (zenon_L23_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.32/40.49 exact (zenon_He1 zenon_Hde). % 40.32/40.49 exact (zenon_H460 zenon_H441). % 40.32/40.49 (* end of lemma zenon_L530_ *) % 40.32/40.49 assert (zenon_L531_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_He2 zenon_Ha2 zenon_H460 zenon_He1 zenon_H6f zenon_H3a zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H455 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_H42 zenon_H37 zenon_Hda. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.32/40.49 apply (zenon_L21_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.32/40.49 apply (zenon_L15_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.32/40.49 apply (zenon_L10_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_He3 ]. % 40.32/40.49 apply (zenon_L368_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H70 | zenon_intro zenon_He4 ]. % 40.32/40.49 apply (zenon_L530_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hd9 ]. % 40.32/40.49 apply (zenon_L40_); trivial. % 40.32/40.49 apply (zenon_L44_); trivial. % 40.32/40.49 (* end of lemma zenon_L531_ *) % 40.32/40.49 assert (zenon_L532_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H459 zenon_Hda zenon_Hc6 zenon_Hc0 zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H49 zenon_H3a zenon_H4d zenon_H48 zenon_H37 zenon_H42 zenon_H59. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.32/40.49 apply (zenon_L44_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.32/40.49 apply (zenon_L531_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.32/40.49 exact (zenon_H460 zenon_H441). % 40.32/40.49 apply (zenon_L18_); trivial. % 40.32/40.49 (* end of lemma zenon_L532_ *) % 40.32/40.49 assert (zenon_L533_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.49 apply (zenon_L532_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.49 apply (zenon_L476_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.49 apply (zenon_L32_); trivial. % 40.32/40.49 apply (zenon_L36_); trivial. % 40.32/40.49 (* end of lemma zenon_L533_ *) % 40.32/40.49 assert (zenon_L534_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.49 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.32/40.49 apply (zenon_L44_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.32/40.49 apply (zenon_L531_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.32/40.49 exact (zenon_H460 zenon_H441). % 40.32/40.49 apply (zenon_L533_); trivial. % 40.32/40.49 (* end of lemma zenon_L534_ *) % 40.32/40.49 assert (zenon_L535_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 40.32/40.49 do 0 intro. intros zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H205 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc6 zenon_Hc0 zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H17f zenon_H1e7 zenon_H1e0 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1c6 zenon_H1cf zenon_H1da zenon_H1a0 zenon_H1fb zenon_H207 zenon_H17e zenon_H193 zenon_H156 zenon_H1ec. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.32/40.49 exact (zenon_H216 zenon_H213). % 40.32/40.49 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.32/40.49 apply (zenon_L76_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.32/40.49 apply (zenon_L77_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.32/40.49 apply (zenon_L78_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.32/40.49 apply (zenon_L91_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.32/40.49 apply (zenon_L93_); trivial. % 40.32/40.49 apply (zenon_L534_); trivial. % 40.32/40.49 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.32/40.50 exact (zenon_H207 zenon_H20c). % 40.32/40.50 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.32/40.50 exact (zenon_H17e zenon_H18e). % 40.32/40.50 apply (zenon_L95_); trivial. % 40.32/40.50 (* end of lemma zenon_L535_ *) % 40.32/40.50 assert (zenon_L536_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.50 apply (zenon_L532_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.50 apply (zenon_L481_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.50 apply (zenon_L32_); trivial. % 40.32/40.50 apply (zenon_L36_); trivial. % 40.32/40.50 (* end of lemma zenon_L536_ *) % 40.32/40.50 assert (zenon_L537_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.32/40.50 apply (zenon_L44_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.32/40.50 apply (zenon_L531_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.32/40.50 exact (zenon_H460 zenon_H441). % 40.32/40.50 apply (zenon_L536_); trivial. % 40.32/40.50 (* end of lemma zenon_L537_ *) % 40.32/40.50 assert (zenon_L538_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H17f zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.32/40.50 apply (zenon_L29_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.32/40.50 apply (zenon_L230_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.32/40.50 apply (zenon_L537_); trivial. % 40.32/40.50 apply (zenon_L42_); trivial. % 40.32/40.50 (* end of lemma zenon_L538_ *) % 40.32/40.50 assert (zenon_L539_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_Hd5 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.32/40.50 apply (zenon_L29_); trivial. % 40.32/40.50 apply (zenon_L43_); trivial. % 40.32/40.50 (* end of lemma zenon_L539_ *) % 40.32/40.50 assert (zenon_L540_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_H473 zenon_Hce zenon_H37. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.32/40.50 apply (zenon_L29_); trivial. % 40.32/40.50 apply (zenon_L311_); trivial. % 40.32/40.50 (* end of lemma zenon_L540_ *) % 40.32/40.50 assert (zenon_L541_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.32/40.50 do 0 intro. intros zenon_H222 zenon_H223 zenon_H16b zenon_H15f zenon_H158 zenon_H163 zenon_H20d zenon_H3ee zenon_H37 zenon_H96 zenon_H42 zenon_H9c zenon_Hd4 zenon_Hce zenon_Hd0 zenon_H192 zenon_H193 zenon_H199 zenon_H205 zenon_H1a0 zenon_H1df zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H1b2 zenon_H1ac zenon_H1a8 zenon_H1a7 zenon_H1e7 zenon_H459 zenon_H48 zenon_H59 zenon_H5c zenon_H206 zenon_H201 zenon_H1ff zenon_H246 zenon_H4c0 zenon_H24b zenon_H575 zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H64 zenon_H3a zenon_H4d zenon_H39 zenon_He2 zenon_Hc7 zenon_H31 zenon_H6f zenon_He1 zenon_H460 zenon_H44b zenon_Ha2 zenon_H44 zenon_H456 zenon_H5f zenon_H75 zenon_Hda zenon_H1fb zenon_H224 zenon_Hd5 zenon_Heb zenon_H4bc zenon_H428 zenon_H261 zenon_H150 zenon_H156. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.32/40.50 apply (zenon_L73_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.32/40.50 apply (zenon_L74_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.32/40.50 apply (zenon_L29_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.32/40.50 exact (zenon_Hd5 zenon_Hd8). % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.32/40.50 apply (zenon_L535_); trivial. % 40.32/40.50 apply (zenon_L42_); trivial. % 40.32/40.50 apply (zenon_L105_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.32/40.50 apply (zenon_L538_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.32/40.50 apply (zenon_L539_); trivial. % 40.32/40.50 apply (zenon_L540_); trivial. % 40.32/40.50 apply (zenon_L108_); trivial. % 40.32/40.50 (* end of lemma zenon_L541_ *) % 40.32/40.50 assert (zenon_L542_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.32/40.50 apply (zenon_L29_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.32/40.50 apply (zenon_L230_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.32/40.50 apply (zenon_L534_); trivial. % 40.32/40.50 apply (zenon_L42_); trivial. % 40.32/40.50 (* end of lemma zenon_L542_ *) % 40.32/40.50 assert (zenon_L543_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.32/40.50 do 0 intro. intros zenon_H4bc zenon_Hbc zenon_H59 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H3a zenon_Had zenon_Hb4 zenon_H261 zenon_Hd0 zenon_Hc7 zenon_Hd5 zenon_Hd4 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.32/40.50 apply (zenon_L542_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.32/40.50 apply (zenon_L539_); trivial. % 40.32/40.50 apply (zenon_L540_); trivial. % 40.32/40.50 (* end of lemma zenon_L543_ *) % 40.32/40.50 assert (zenon_L544_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.32/40.50 do 0 intro. intros zenon_H23c zenon_H163 zenon_H238 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hd4 zenon_Hd5 zenon_Hc7 zenon_Hd0 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H459 zenon_Hda zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H4bc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.32/40.50 apply (zenon_L72_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.32/40.50 exact (zenon_H238 zenon_H1f4). % 40.32/40.50 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.32/40.50 apply (zenon_L543_); trivial. % 40.32/40.50 apply (zenon_L188_); trivial. % 40.32/40.50 (* end of lemma zenon_L544_ *) % 40.32/40.50 assert (zenon_L545_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.32/40.50 do 0 intro. intros zenon_H23b zenon_H23c zenon_H163 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hd4 zenon_Hd5 zenon_Hc7 zenon_Hd0 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H459 zenon_Hda zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H4bc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H146. zenon_intro zenon_H23d. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H148. zenon_intro zenon_H23e. % 40.32/40.50 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.32/40.50 apply (zenon_L544_); trivial. % 40.32/40.50 (* end of lemma zenon_L545_ *) % 40.32/40.50 assert (zenon_L546_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H201 zenon_H212 zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.32/40.50 apply (zenon_L532_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.32/40.50 apply (zenon_L486_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.32/40.50 apply (zenon_L32_); trivial. % 40.32/40.50 apply (zenon_L36_); trivial. % 40.32/40.50 (* end of lemma zenon_L546_ *) % 40.32/40.50 assert (zenon_L547_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H201 zenon_H212 zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.32/40.50 apply (zenon_L44_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.32/40.50 apply (zenon_L531_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.32/40.50 exact (zenon_H460 zenon_H441). % 40.32/40.50 apply (zenon_L546_); trivial. % 40.32/40.50 (* end of lemma zenon_L547_ *) % 40.32/40.50 assert (zenon_L548_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H201 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.32/40.50 apply (zenon_L254_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.32/40.50 apply (zenon_L29_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.32/40.50 apply (zenon_L28_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.32/40.50 apply (zenon_L230_); trivial. % 40.32/40.50 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.32/40.50 apply (zenon_L547_); trivial. % 40.32/40.50 apply (zenon_L42_); trivial. % 40.32/40.50 (* end of lemma zenon_L548_ *) % 40.32/40.50 assert (zenon_L549_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.32/40.50 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.51 apply (zenon_L532_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.51 apply (zenon_L489_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.51 apply (zenon_L32_); trivial. % 40.36/40.51 apply (zenon_L36_); trivial. % 40.36/40.51 (* end of lemma zenon_L549_ *) % 40.36/40.51 assert (zenon_L550_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.51 apply (zenon_L44_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.51 apply (zenon_L531_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.51 exact (zenon_H460 zenon_H441). % 40.36/40.51 apply (zenon_L549_); trivial. % 40.36/40.51 (* end of lemma zenon_L550_ *) % 40.36/40.51 assert (zenon_L551_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1eb zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.51 apply (zenon_L29_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.51 apply (zenon_L230_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.51 apply (zenon_L550_); trivial. % 40.36/40.51 apply (zenon_L42_); trivial. % 40.36/40.51 (* end of lemma zenon_L551_ *) % 40.36/40.51 assert (zenon_L552_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H4bc zenon_Hbc zenon_H59 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H3a zenon_Had zenon_Hb4 zenon_H261 zenon_Hd0 zenon_Hc7 zenon_Hd5 zenon_Hd4 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.51 apply (zenon_L551_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.51 apply (zenon_L539_); trivial. % 40.36/40.51 apply (zenon_L540_); trivial. % 40.36/40.51 (* end of lemma zenon_L552_ *) % 40.36/40.51 assert (zenon_L553_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H28d zenon_H1da zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H26f zenon_H1a8 zenon_H156 zenon_H259 zenon_H2a1 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.51 apply (zenon_L532_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.51 apply (zenon_L491_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.51 apply (zenon_L32_); trivial. % 40.36/40.51 apply (zenon_L36_); trivial. % 40.36/40.51 (* end of lemma zenon_L553_ *) % 40.36/40.51 assert (zenon_L554_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H28d zenon_H1da zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H26f zenon_H1a8 zenon_H156 zenon_H259 zenon_H2a1 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.51 apply (zenon_L44_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.51 apply (zenon_L531_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.51 exact (zenon_H460 zenon_H441). % 40.36/40.51 apply (zenon_L553_); trivial. % 40.36/40.51 (* end of lemma zenon_L554_ *) % 40.36/40.51 assert (zenon_L555_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H2a1 zenon_H259 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H201 zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H1da zenon_H28d zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H294 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H297 zenon_H15f zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.51 apply (zenon_L29_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.51 apply (zenon_L230_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.51 apply (zenon_L554_); trivial. % 40.36/40.51 apply (zenon_L42_); trivial. % 40.36/40.51 (* end of lemma zenon_L555_ *) % 40.36/40.51 assert (zenon_L556_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e11) = (e13))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H2cb zenon_H1c6 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hd4 zenon_Hd5 zenon_Hc7 zenon_Hd0 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H4bc zenon_H1e7. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.36/40.51 apply (zenon_L80_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.36/40.51 apply (zenon_L81_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.36/40.51 apply (zenon_L82_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.36/40.51 apply (zenon_L72_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.36/40.51 apply (zenon_L155_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.36/40.51 apply (zenon_L543_); trivial. % 40.36/40.51 apply (zenon_L112_); trivial. % 40.36/40.51 (* end of lemma zenon_L556_ *) % 40.36/40.51 assert (zenon_L557_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e11) = (e13))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H2df zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hd4 zenon_Hd5 zenon_Hc7 zenon_Hd0 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H4bc zenon_H1e7. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H280. zenon_intro zenon_H2e0. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2c5. zenon_intro zenon_H140. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.36/40.51 apply (zenon_L556_); trivial. % 40.36/40.51 (* end of lemma zenon_L557_ *) % 40.36/40.51 assert (zenon_L558_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H315 zenon_H23c zenon_H163 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hd4 zenon_Hd5 zenon_Hc7 zenon_Hd0 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H459 zenon_Hda zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H4bc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H18e. zenon_intro zenon_H317. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H18f. zenon_intro zenon_H23e. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.36/40.51 apply (zenon_L544_); trivial. % 40.36/40.51 (* end of lemma zenon_L558_ *) % 40.36/40.51 assert (zenon_L559_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H2da zenon_H30b zenon_H1eb zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hc7 zenon_Hc0 zenon_Hc6 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.36/40.51 apply (zenon_L78_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.36/40.51 apply (zenon_L186_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.36/40.51 exact (zenon_H1eb zenon_H1e6). % 40.36/40.51 apply (zenon_L534_); trivial. % 40.36/40.51 (* end of lemma zenon_L559_ *) % 40.36/40.51 assert (zenon_L560_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H337 zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_Hd5 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_H30b zenon_H1a0 zenon_H1fb zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.51 apply (zenon_L29_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.51 exact (zenon_Hd5 zenon_Hd8). % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.51 apply (zenon_L559_); trivial. % 40.36/40.51 apply (zenon_L42_); trivial. % 40.36/40.51 (* end of lemma zenon_L560_ *) % 40.36/40.51 assert (zenon_L561_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H39c zenon_H4bc zenon_Hbc zenon_H59 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_He2 zenon_Ha2 zenon_He1 zenon_H6f zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H3a zenon_Had zenon_Hb4 zenon_H261 zenon_Hd0 zenon_Hc7 zenon_Hd5 zenon_Hd4 zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.36/40.51 apply (zenon_L543_); trivial. % 40.36/40.51 (* end of lemma zenon_L561_ *) % 40.36/40.51 assert (zenon_L562_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((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))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Hf9 zenon_H448 zenon_H16b zenon_H15f zenon_H156 zenon_H158 zenon_H150 zenon_H163 zenon_H20d zenon_H3ee zenon_H37 zenon_H96 zenon_H42 zenon_H9c zenon_Hd4 zenon_Hce zenon_Hd0 zenon_H192 zenon_H193 zenon_H199 zenon_H205 zenon_H1a0 zenon_H1df zenon_H1c6 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H1b2 zenon_H1ac zenon_H1a8 zenon_H1a7 zenon_H1e7 zenon_H459 zenon_H48 zenon_H59 zenon_H5c zenon_H206 zenon_H201 zenon_H1ff zenon_H246 zenon_H4c0 zenon_H24b zenon_H575 zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H64 zenon_H3a zenon_H4d zenon_H39 zenon_He2 zenon_Hc7 zenon_H31 zenon_H6f zenon_H460 zenon_H44b zenon_Ha2 zenon_H44 zenon_H456 zenon_H5f zenon_H75 zenon_Hda zenon_H1fb zenon_H224 zenon_Hd5 zenon_Heb zenon_H4bc zenon_H428 zenon_H261 zenon_H223 zenon_H23c zenon_H4b7 zenon_H259 zenon_H275 zenon_H26f zenon_H269 zenon_H25d zenon_H29d zenon_H29c zenon_H27f zenon_H286 zenon_H28d zenon_H291 zenon_H294 zenon_H2a1 zenon_H2ca zenon_H214 zenon_H325 zenon_H32a zenon_H30b zenon_H35f. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.36/40.51 apply (zenon_L61_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.36/40.51 apply (zenon_L62_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.36/40.51 apply (zenon_L63_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.36/40.51 apply (zenon_L64_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.36/40.51 apply (zenon_L65_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.36/40.51 apply (zenon_L66_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.36/40.51 apply (zenon_L541_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.36/40.51 apply (zenon_L545_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.36/40.51 apply (zenon_L114_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.51 apply (zenon_L548_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.51 apply (zenon_L539_); trivial. % 40.36/40.51 apply (zenon_L540_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.36/40.51 apply (zenon_L127_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.36/40.51 apply (zenon_L128_); trivial. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.36/40.51 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.36/40.51 apply (zenon_L552_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.51 apply (zenon_L555_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.51 apply (zenon_L539_); trivial. % 40.36/40.51 apply (zenon_L540_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.36/40.51 apply (zenon_L145_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.36/40.51 apply (zenon_L147_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.36/40.51 apply (zenon_L148_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.36/40.51 apply (zenon_L149_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.36/40.51 apply (zenon_L150_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.36/40.51 apply (zenon_L151_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.36/40.51 apply (zenon_L152_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.36/40.51 apply (zenon_L153_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.36/40.51 apply (zenon_L557_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.36/40.51 apply (zenon_L166_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.36/40.51 apply (zenon_L167_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.36/40.51 apply (zenon_L168_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.36/40.51 apply (zenon_L169_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.36/40.51 apply (zenon_L170_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.36/40.51 apply (zenon_L171_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.36/40.51 apply (zenon_L172_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.36/40.51 apply (zenon_L173_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.36/40.51 apply (zenon_L174_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.36/40.51 apply (zenon_L175_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.36/40.51 apply (zenon_L176_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.36/40.51 apply (zenon_L177_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.36/40.51 apply (zenon_L178_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.36/40.51 apply (zenon_L179_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.36/40.51 apply (zenon_L180_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.36/40.51 apply (zenon_L181_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.36/40.51 apply (zenon_L182_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.36/40.51 apply (zenon_L183_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.36/40.51 apply (zenon_L184_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.36/40.51 apply (zenon_L185_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.36/40.51 apply (zenon_L558_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.36/40.51 apply (zenon_L195_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.36/40.51 apply (zenon_L196_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.36/40.51 apply (zenon_L197_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.36/40.51 apply (zenon_L198_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.36/40.51 apply (zenon_L200_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.36/40.51 apply (zenon_L560_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.36/40.51 apply (zenon_L205_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.36/40.51 apply (zenon_L206_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.36/40.51 apply (zenon_L207_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.36/40.51 apply (zenon_L208_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.36/40.51 apply (zenon_L209_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.36/40.51 apply (zenon_L210_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.36/40.51 apply (zenon_L211_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.36/40.51 apply (zenon_L212_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.36/40.51 apply (zenon_L213_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.36/40.51 apply (zenon_L214_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.36/40.51 apply (zenon_L215_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.36/40.51 apply (zenon_L561_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.36/40.51 apply (zenon_L217_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.36/40.51 apply (zenon_L218_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.36/40.51 apply (zenon_L219_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.36/40.51 apply (zenon_L220_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.36/40.51 apply (zenon_L221_); trivial. % 40.36/40.51 apply (zenon_L222_); trivial. % 40.36/40.51 apply (zenon_L417_); trivial. % 40.36/40.51 (* end of lemma zenon_L562_ *) % 40.36/40.51 assert (zenon_L563_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H44b zenon_H456 zenon_H455 zenon_H42 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H37 zenon_He6 zenon_H3a zenon_He5 zenon_He1 zenon_H460. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.36/40.51 apply (zenon_L21_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.36/40.51 apply (zenon_L15_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.36/40.51 apply (zenon_L10_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.36/40.51 apply (zenon_L410_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.36/40.51 apply (zenon_L47_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.36/40.51 exact (zenon_He1 zenon_Hde). % 40.36/40.51 exact (zenon_H460 zenon_H441). % 40.36/40.51 (* end of lemma zenon_L563_ *) % 40.36/40.51 assert (zenon_L564_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H3bd zenon_H4a zenon_H62 zenon_H3ad zenon_H6a zenon_H3ac zenon_H3a zenon_H261 zenon_Hd8 zenon_H37 zenon_H3b9. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H22 | zenon_intro zenon_H3be ]. % 40.36/40.51 apply (zenon_L20_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3be); [ zenon_intro zenon_H2e | zenon_intro zenon_H3bf ]. % 40.36/40.51 apply (zenon_L229_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3bf); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H3b8 ]. % 40.36/40.51 apply (zenon_L230_); trivial. % 40.36/40.51 apply (zenon_L231_); trivial. % 40.36/40.51 (* end of lemma zenon_L564_ *) % 40.36/40.51 assert (zenon_L565_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_H3bd zenon_H4a zenon_H62 zenon_H3ad zenon_H3ac zenon_H3a zenon_H261 zenon_Hd8 zenon_H37 zenon_H3b9. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.36/40.51 apply (zenon_L21_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.36/40.51 apply (zenon_L15_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.36/40.51 apply (zenon_L10_); trivial. % 40.36/40.51 apply (zenon_L564_); trivial. % 40.36/40.51 (* end of lemma zenon_L565_ *) % 40.36/40.51 assert (zenon_L566_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H3c4 zenon_H3a3 zenon_H3a2 zenon_H3b9 zenon_Hd8 zenon_H261 zenon_H3ad zenon_H62 zenon_H4a zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.36/40.51 apply (zenon_L224_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.36/40.51 apply (zenon_L565_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.36/40.51 apply (zenon_L48_); trivial. % 40.36/40.51 apply (zenon_L34_); trivial. % 40.36/40.51 (* end of lemma zenon_L566_ *) % 40.36/40.51 assert (zenon_L567_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H5c zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_H62 zenon_H3ad zenon_H261 zenon_Hd8 zenon_H3b9 zenon_H3a2 zenon_H3a3 zenon_H3c4 zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.51 apply (zenon_L18_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.51 apply (zenon_L566_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.51 apply (zenon_L32_); trivial. % 40.36/40.51 apply (zenon_L36_); trivial. % 40.36/40.51 (* end of lemma zenon_L567_ *) % 40.36/40.51 assert (zenon_L568_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Hd4 zenon_H96 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H3c4 zenon_H3a3 zenon_H3a2 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H62 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hc0 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.51 apply (zenon_L567_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.51 apply (zenon_L40_); trivial. % 40.36/40.51 apply (zenon_L42_); trivial. % 40.36/40.51 (* end of lemma zenon_L568_ *) % 40.36/40.51 assert (zenon_L569_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Heb zenon_Hfa zenon_H9c zenon_Hd4 zenon_H96 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H3c4 zenon_H3a3 zenon_H3a2 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H62 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.51 exact (zenon_Hfa zenon_Hfc). % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.51 apply (zenon_L29_); trivial. % 40.36/40.51 apply (zenon_L568_); trivial. % 40.36/40.51 (* end of lemma zenon_L569_ *) % 40.36/40.51 assert (zenon_L570_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H17f zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.51 apply (zenon_L29_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.51 apply (zenon_L230_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.51 apply (zenon_L536_); trivial. % 40.36/40.51 apply (zenon_L42_); trivial. % 40.36/40.51 (* end of lemma zenon_L570_ *) % 40.36/40.51 assert (zenon_L571_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.51 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_H2d zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Ha7 zenon_H3a zenon_H37. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.51 apply (zenon_L254_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.51 apply (zenon_L28_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.51 apply (zenon_L29_); trivial. % 40.36/40.51 apply (zenon_L424_); trivial. % 40.36/40.51 (* end of lemma zenon_L571_ *) % 40.36/40.51 assert (zenon_L572_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 40.36/40.51 do 0 intro. intros zenon_H44b zenon_H32 zenon_H31 zenon_H37 zenon_H3a zenon_Ha7 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hce zenon_H3a2 zenon_H3a4 zenon_H3a8 zenon_H9c zenon_H3ee zenon_Heb zenon_He1 zenon_H460. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H44b); [ zenon_intro zenon_H3ed | zenon_intro zenon_H44c ]. % 40.36/40.51 apply (zenon_L252_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H44c); [ zenon_intro zenon_H2d | zenon_intro zenon_H44d ]. % 40.36/40.51 apply (zenon_L571_); trivial. % 40.36/40.51 apply (zenon_or_s _ _ zenon_H44d); [ zenon_intro zenon_Hde | zenon_intro zenon_H441 ]. % 40.36/40.51 exact (zenon_He1 zenon_Hde). % 40.36/40.51 exact (zenon_H460 zenon_H441). % 40.36/40.51 (* end of lemma zenon_L572_ *) % 40.36/40.51 assert (zenon_L573_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H464 zenon_H128 zenon_H3c4 zenon_H3b9 zenon_H3ad zenon_H62 zenon_H3bd zenon_He6 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hbc zenon_H59 zenon_H57 zenon_H48 zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_Hd0 zenon_Hc7 zenon_H3a7 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Had zenon_Hb4 zenon_H261 zenon_Ha5 zenon_H459 zenon_Hda zenon_H456 zenon_H44 zenon_H5f zenon_H6f zenon_Ha2 zenon_He2 zenon_Hfa zenon_H4bc zenon_H64 zenon_H3a zenon_H37. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.36/40.52 apply (zenon_L115_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.52 exact (zenon_Hfa zenon_Hfc). % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.52 apply (zenon_L538_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.52 apply (zenon_L569_); trivial. % 40.36/40.52 apply (zenon_L540_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.52 exact (zenon_Hfa zenon_Hfc). % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.52 apply (zenon_L570_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.52 apply (zenon_L18_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.52 apply (zenon_L481_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.52 apply (zenon_L572_); trivial. % 40.36/40.52 apply (zenon_L36_); trivial. % 40.36/40.52 apply (zenon_L540_); trivial. % 40.36/40.52 apply (zenon_L21_); trivial. % 40.36/40.52 (* end of lemma zenon_L573_ *) % 40.36/40.52 assert (zenon_L574_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H222 zenon_H223 zenon_H16b zenon_H15f zenon_H158 zenon_H163 zenon_H20d zenon_H5c zenon_H57 zenon_H59 zenon_H42 zenon_H37 zenon_H3a zenon_H4d zenon_H48 zenon_H224 zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H464 zenon_H3a7 zenon_H3a8 zenon_Hfa zenon_Heb zenon_H261 zenon_H459 zenon_H64 zenon_H39 zenon_He2 zenon_Hc7 zenon_H31 zenon_H6f zenon_He1 zenon_H460 zenon_H44b zenon_Ha2 zenon_H44 zenon_H456 zenon_H5f zenon_H75 zenon_Hda zenon_Hd0 zenon_Hce zenon_Hd4 zenon_H9c zenon_H96 zenon_H3ee zenon_H3a2 zenon_H62 zenon_H3ad zenon_H3b9 zenon_H3bd zenon_He6 zenon_He5 zenon_H3c4 zenon_H428 zenon_H4bc zenon_H128 zenon_H150 zenon_H156. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.36/40.52 apply (zenon_L73_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.36/40.52 apply (zenon_L74_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.36/40.52 apply (zenon_L479_); trivial. % 40.36/40.52 apply (zenon_L573_); trivial. % 40.36/40.52 apply (zenon_L108_); trivial. % 40.36/40.52 (* end of lemma zenon_L574_ *) % 40.36/40.52 assert (zenon_L575_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H459 zenon_Hda zenon_He1 zenon_He5 zenon_He6 zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_H64 zenon_H75 zenon_H460 zenon_H23b zenon_H23c zenon_H163 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.52 apply (zenon_L44_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.52 apply (zenon_L563_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.52 exact (zenon_H460 zenon_H441). % 40.36/40.52 apply (zenon_L484_); trivial. % 40.36/40.52 (* end of lemma zenon_L575_ *) % 40.36/40.52 assert (zenon_L576_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.52 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H201 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.52 apply (zenon_L254_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.52 apply (zenon_L28_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.52 apply (zenon_L29_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.52 apply (zenon_L28_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.52 apply (zenon_L230_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.52 apply (zenon_L546_); trivial. % 40.36/40.52 apply (zenon_L42_); trivial. % 40.36/40.52 (* end of lemma zenon_L576_ *) % 40.36/40.52 assert (zenon_L577_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.52 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H57 zenon_H48 zenon_H5c zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H201 zenon_H212 zenon_H259 zenon_H170 zenon_H20c zenon_H4b7 zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.52 apply (zenon_L18_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.52 apply (zenon_L486_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.52 apply (zenon_L572_); trivial. % 40.36/40.52 apply (zenon_L36_); trivial. % 40.36/40.52 (* end of lemma zenon_L577_ *) % 40.36/40.52 assert (zenon_L578_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H4bc zenon_He2 zenon_Ha2 zenon_H6f zenon_H5f zenon_H44 zenon_H456 zenon_Hda zenon_H459 zenon_Ha5 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_H44b zenon_H31 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H3a7 zenon_Hc7 zenon_Hd0 zenon_H3a2 zenon_H3a4 zenon_H3a8 zenon_He1 zenon_H460 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H201 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H5c zenon_H48 zenon_H57 zenon_H59 zenon_Hbc zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.52 apply (zenon_L254_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.52 apply (zenon_L576_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.52 apply (zenon_L577_); trivial. % 40.36/40.52 apply (zenon_L540_); trivial. % 40.36/40.52 (* end of lemma zenon_L578_ *) % 40.36/40.52 assert (zenon_L579_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.52 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1eb zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.52 apply (zenon_L254_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.52 apply (zenon_L28_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.52 apply (zenon_L29_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.52 apply (zenon_L28_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.52 apply (zenon_L230_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.52 apply (zenon_L549_); trivial. % 40.36/40.52 apply (zenon_L42_); trivial. % 40.36/40.52 (* end of lemma zenon_L579_ *) % 40.36/40.52 assert (zenon_L580_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.52 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H57 zenon_H48 zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.52 apply (zenon_L18_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.52 apply (zenon_L489_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.52 apply (zenon_L572_); trivial. % 40.36/40.52 apply (zenon_L36_); trivial. % 40.36/40.52 (* end of lemma zenon_L580_ *) % 40.36/40.52 assert (zenon_L581_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H4bc zenon_He2 zenon_Ha2 zenon_H6f zenon_H5f zenon_H44 zenon_H456 zenon_Hda zenon_H459 zenon_Ha5 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_H44b zenon_H31 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H3a7 zenon_Hc7 zenon_Hd0 zenon_H3a2 zenon_H3a4 zenon_H3a8 zenon_He1 zenon_H460 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1eb zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H48 zenon_H57 zenon_H59 zenon_Hbc zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.52 apply (zenon_L254_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.52 apply (zenon_L579_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.52 apply (zenon_L580_); trivial. % 40.36/40.52 apply (zenon_L540_); trivial. % 40.36/40.52 (* end of lemma zenon_L581_ *) % 40.36/40.52 assert (zenon_L582_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H464 zenon_H128 zenon_Hfa zenon_H3c4 zenon_H3b9 zenon_H3ad zenon_H62 zenon_H3bd zenon_He6 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_Hbc zenon_H59 zenon_H57 zenon_H48 zenon_H5c zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1eb zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_Hd0 zenon_Hc7 zenon_H3a7 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Had zenon_Hb4 zenon_H261 zenon_Ha5 zenon_H459 zenon_Hda zenon_H456 zenon_H44 zenon_H5f zenon_H6f zenon_Ha2 zenon_He2 zenon_H4bc zenon_H64 zenon_H3a zenon_H37. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.36/40.52 apply (zenon_L115_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.52 exact (zenon_Hfa zenon_Hfc). % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.52 apply (zenon_L579_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.52 apply (zenon_L569_); trivial. % 40.36/40.52 apply (zenon_L540_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.36/40.52 apply (zenon_L581_); trivial. % 40.36/40.52 apply (zenon_L21_); trivial. % 40.36/40.52 (* end of lemma zenon_L582_ *) % 40.36/40.52 assert (zenon_L583_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e21) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H36a zenon_H223 zenon_H4b7 zenon_H275 zenon_H25d zenon_H2a1 zenon_H15f zenon_H192 zenon_H199 zenon_H294 zenon_H26f zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H29c zenon_H269 zenon_H29d zenon_H224 zenon_H259 zenon_H128 zenon_H37 zenon_H4bc zenon_H428 zenon_H3c4 zenon_He5 zenon_He6 zenon_H3bd zenon_H3b9 zenon_H3ad zenon_H62 zenon_H3a2 zenon_H3ee zenon_H96 zenon_H42 zenon_H9c zenon_Hd4 zenon_Hce zenon_Hd0 zenon_H459 zenon_H48 zenon_H59 zenon_H5c zenon_H64 zenon_H3a zenon_H4d zenon_H39 zenon_He2 zenon_Hc7 zenon_H31 zenon_H6f zenon_He1 zenon_H460 zenon_H44b zenon_Ha2 zenon_H44 zenon_H456 zenon_H5f zenon_H75 zenon_Hda zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ac zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1df zenon_H201 zenon_H1a7 zenon_H206 zenon_H1b8 zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_Ha5 zenon_H57 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H261 zenon_Heb zenon_Hfa zenon_H3a8 zenon_H3a7 zenon_H464. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.36/40.52 apply (zenon_L115_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.52 exact (zenon_Hfa zenon_Hfc). % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.52 apply (zenon_L576_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.52 apply (zenon_L569_); trivial. % 40.36/40.52 apply (zenon_L540_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.36/40.52 apply (zenon_L578_); trivial. % 40.36/40.52 apply (zenon_L21_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.36/40.52 apply (zenon_L127_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.36/40.52 apply (zenon_L128_); trivial. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.36/40.52 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.36/40.52 apply (zenon_L582_); trivial. % 40.36/40.52 apply (zenon_L492_); trivial. % 40.36/40.52 (* end of lemma zenon_L583_ *) % 40.36/40.52 assert (zenon_L584_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e21) = (e23))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> False). % 40.36/40.52 do 0 intro. intros zenon_H36a zenon_H223 zenon_H4b7 zenon_H275 zenon_H25d zenon_H2a1 zenon_H15f zenon_H192 zenon_H199 zenon_H294 zenon_H26f zenon_H1e7 zenon_H291 zenon_H28d zenon_H1da zenon_H286 zenon_H150 zenon_H27f zenon_H29c zenon_H269 zenon_H29d zenon_H224 zenon_H259 zenon_H128 zenon_H37 zenon_H4bc zenon_H428 zenon_H3c4 zenon_He5 zenon_He6 zenon_H3bd zenon_H3b9 zenon_H3ad zenon_H62 zenon_H3a2 zenon_H3ee zenon_H96 zenon_H42 zenon_H9c zenon_Hd4 zenon_Hce zenon_Hd0 zenon_H459 zenon_H48 zenon_H59 zenon_H5c zenon_H64 zenon_H3a zenon_H4d zenon_H39 zenon_He2 zenon_Hc7 zenon_H31 zenon_H6f zenon_He1 zenon_H460 zenon_H44b zenon_Ha2 zenon_H44 zenon_H456 zenon_H5f zenon_H75 zenon_Hda zenon_H1fb zenon_H1f8 zenon_H1f5 zenon_H1ac zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1df zenon_H201 zenon_H1a7 zenon_H206 zenon_H1b8 zenon_H1b2 zenon_H1a8 zenon_H1bd zenon_H193 zenon_H1c3 zenon_H1c6 zenon_H156 zenon_H1a0 zenon_Ha5 zenon_Hb9 zenon_Hb4 zenon_Had zenon_Ha7 zenon_H78 zenon_Hbc zenon_H261 zenon_Heb zenon_Hfa zenon_H3a8 zenon_H3a7 zenon_H464. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.52 apply (zenon_L44_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.52 apply (zenon_L563_); trivial. % 40.36/40.52 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.52 exact (zenon_H460 zenon_H441). % 40.36/40.52 apply (zenon_L583_); trivial. % 40.36/40.52 (* end of lemma zenon_L584_ *) % 40.36/40.52 assert (zenon_L585_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H459 zenon_Hda zenon_He1 zenon_He5 zenon_He6 zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_H64 zenon_H75 zenon_H460 zenon_H2df zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1e7. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.53 apply (zenon_L44_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.53 apply (zenon_L563_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.53 exact (zenon_H460 zenon_H441). % 40.36/40.53 apply (zenon_L495_); trivial. % 40.36/40.53 (* end of lemma zenon_L585_ *) % 40.36/40.53 assert (zenon_L586_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H459 zenon_Hda zenon_He1 zenon_He5 zenon_He6 zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_H64 zenon_H75 zenon_H460 zenon_H315 zenon_H23c zenon_H163 zenon_Hb4 zenon_Had zenon_H3a zenon_H37 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H201 zenon_H5c zenon_H4d zenon_H48 zenon_H42 zenon_H59 zenon_Hbc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.53 apply (zenon_L44_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.53 apply (zenon_L563_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.53 exact (zenon_H460 zenon_H441). % 40.36/40.53 apply (zenon_L496_); trivial. % 40.36/40.53 (* end of lemma zenon_L586_ *) % 40.36/40.53 assert (zenon_L587_ : (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H459 zenon_Hda zenon_He1 zenon_He5 zenon_He6 zenon_H5f zenon_H31 zenon_H39 zenon_H44 zenon_H456 zenon_H44b zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H49 zenon_H3a zenon_H4d zenon_H48 zenon_H37 zenon_H42 zenon_H59. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.53 apply (zenon_L44_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.53 apply (zenon_L563_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.53 exact (zenon_H460 zenon_H441). % 40.36/40.53 apply (zenon_L18_); trivial. % 40.36/40.53 (* end of lemma zenon_L587_ *) % 40.36/40.53 assert (zenon_L588_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.53 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H4d zenon_H5c zenon_H460 zenon_H75 zenon_H64 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_He6 zenon_He5 zenon_He1 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H57b zenon_H2da zenon_H206 zenon_H1eb zenon_H30b zenon_H1a0 zenon_H1fb zenon_H57 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.53 apply (zenon_L587_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.53 apply (zenon_L500_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.53 apply (zenon_L32_); trivial. % 40.36/40.53 apply (zenon_L36_); trivial. % 40.36/40.53 (* end of lemma zenon_L588_ *) % 40.36/40.53 assert (zenon_L589_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_Heb zenon_Hfa zenon_H9c zenon_Hd4 zenon_H96 zenon_H3c4 zenon_H3a3 zenon_H3a2 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H62 zenon_H3bd zenon_He6 zenon_He5 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.53 exact (zenon_Hfa zenon_Hfc). % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.53 apply (zenon_L29_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.53 apply (zenon_L567_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.53 apply (zenon_L533_); trivial. % 40.36/40.53 apply (zenon_L42_); trivial. % 40.36/40.53 (* end of lemma zenon_L589_ *) % 40.36/40.53 assert (zenon_L590_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_Heb zenon_Hfa zenon_H9c zenon_Hd4 zenon_H96 zenon_H3c4 zenon_H3a3 zenon_H3a2 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H62 zenon_H3bd zenon_He6 zenon_He5 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.53 apply (zenon_L44_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.53 apply (zenon_L563_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.53 exact (zenon_H460 zenon_H441). % 40.36/40.53 apply (zenon_L589_); trivial. % 40.36/40.53 (* end of lemma zenon_L590_ *) % 40.36/40.53 assert (zenon_L591_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (~((op1 (e13) (e13)) = (e10))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H4bc zenon_Hfa zenon_He2 zenon_Ha2 zenon_H6f zenon_H5f zenon_H44 zenon_H456 zenon_Hda zenon_H459 zenon_H201 zenon_H1b2 zenon_H1a7 zenon_H1df zenon_Ha5 zenon_H261 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_H44b zenon_H31 zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_Hd4 zenon_H3a7 zenon_Hc7 zenon_Hd0 zenon_H3a2 zenon_H3a4 zenon_H3a8 zenon_He1 zenon_H460 zenon_H206 zenon_H1f5 zenon_H193 zenon_H156 zenon_H1ec zenon_H1ac zenon_H1a8 zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H179 zenon_H5c zenon_H48 zenon_H57 zenon_H59 zenon_Hbc zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.53 exact (zenon_Hfa zenon_Hfc). % 40.36/40.53 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.53 apply (zenon_L542_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.53 apply (zenon_L18_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.53 apply (zenon_L526_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.53 apply (zenon_L572_); trivial. % 40.36/40.53 apply (zenon_L36_); trivial. % 40.36/40.53 apply (zenon_L540_); trivial. % 40.36/40.53 (* end of lemma zenon_L591_ *) % 40.36/40.53 assert (zenon_L592_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (e22))) -> ((e23) = (op2 (e20) (e20))) -> (~((e21) = (e23))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H39c zenon_H223 zenon_H464 zenon_H4bc zenon_H428 zenon_H3a8 zenon_H3a7 zenon_H3ee zenon_Hda zenon_H75 zenon_H5f zenon_H456 zenon_H42 zenon_H44 zenon_H31 zenon_He5 zenon_He6 zenon_He1 zenon_H460 zenon_H44b zenon_H39 zenon_H4d zenon_H3a zenon_H64 zenon_Heb zenon_Hbc zenon_H78 zenon_Ha7 zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H3a2 zenon_H62 zenon_H3ad zenon_H261 zenon_H3b9 zenon_H3bd zenon_Had zenon_H3c4 zenon_H48 zenon_H59 zenon_H5c zenon_H1f8 zenon_H193 zenon_H1ac zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H1df zenon_H201 zenon_H1b2 zenon_H1a7 zenon_H206 zenon_Ha2 zenon_H6f zenon_Hc7 zenon_He2 zenon_H459 zenon_Hd0 zenon_Hce zenon_Hd4 zenon_H9c zenon_H96 zenon_Hfa zenon_H37 zenon_H128 zenon_H163 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1f5. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H174. zenon_intro zenon_H173. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H176. zenon_intro zenon_H175. % 40.36/40.53 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H179 | zenon_intro zenon_H162 ]. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H26 | zenon_intro zenon_H467 ]. % 40.36/40.53 apply (zenon_L115_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H468 ]. % 40.36/40.53 apply (zenon_L590_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H65 ]. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.36/40.53 apply (zenon_L44_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.36/40.53 apply (zenon_L563_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.36/40.53 exact (zenon_H460 zenon_H441). % 40.36/40.53 apply (zenon_L591_); trivial. % 40.36/40.53 apply (zenon_L21_); trivial. % 40.36/40.53 apply (zenon_L72_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.36/40.53 apply (zenon_L216_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.36/40.53 apply (zenon_L128_); trivial. % 40.36/40.53 apply (zenon_L158_); trivial. % 40.36/40.53 (* end of lemma zenon_L592_ *) % 40.36/40.53 assert (zenon_L593_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_Heb zenon_Hfa zenon_H96 zenon_H9c zenon_H448 zenon_H42 zenon_Hde zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.53 exact (zenon_Hfa zenon_Hfc). % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.53 apply (zenon_L29_); trivial. % 40.36/40.53 apply (zenon_L405_); trivial. % 40.36/40.53 (* end of lemma zenon_L593_ *) % 40.36/40.53 assert (zenon_L594_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e22)) -> (~((e20) = (e21))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_Heb zenon_H3ee zenon_H9c zenon_Hd4 zenon_H96 zenon_H261 zenon_H3b3 zenon_Hb4 zenon_Had zenon_H3a zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H57 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H459 zenon_Hda zenon_Hc7 zenon_H44b zenon_H456 zenon_H44 zenon_H39 zenon_H31 zenon_H5f zenon_H6f zenon_He1 zenon_Ha2 zenon_He2 zenon_H64 zenon_H75 zenon_H460 zenon_H5c zenon_H4d zenon_H48 zenon_H59 zenon_Hbc zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.53 apply (zenon_L254_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.53 apply (zenon_L29_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.53 apply (zenon_L230_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.53 apply (zenon_L533_); trivial. % 40.36/40.53 apply (zenon_L42_); trivial. % 40.36/40.53 (* end of lemma zenon_L594_ *) % 40.36/40.53 assert (zenon_L595_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.36/40.53 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.36/40.53 apply (zenon_L485_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.36/40.53 apply (zenon_L476_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.36/40.53 apply (zenon_L572_); trivial. % 40.36/40.53 apply (zenon_L36_); trivial. % 40.36/40.53 (* end of lemma zenon_L595_ *) % 40.36/40.53 assert (zenon_L596_ : ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H1c1 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.36/40.53 apply (zenon_L254_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.36/40.53 apply (zenon_L29_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.36/40.53 apply (zenon_L28_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.36/40.53 apply (zenon_L595_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.36/40.53 apply (zenon_L232_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.36/40.53 apply (zenon_L48_); trivial. % 40.36/40.53 apply (zenon_L34_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.36/40.53 apply (zenon_L40_); trivial. % 40.36/40.53 apply (zenon_L42_); trivial. % 40.36/40.53 (* end of lemma zenon_L596_ *) % 40.36/40.53 assert (zenon_L597_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.36/40.53 do 0 intro. intros zenon_H4bc zenon_He2 zenon_H6f zenon_H456 zenon_Hda zenon_H459 zenon_H57 zenon_Hd0 zenon_Hc7 zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H3a7 zenon_H3a2 zenon_H3a8 zenon_He1 zenon_H460 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.36/40.53 apply (zenon_L254_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.36/40.53 apply (zenon_L594_); trivial. % 40.36/40.53 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.36/40.53 apply (zenon_L596_); trivial. % 40.36/40.53 apply (zenon_L540_); trivial. % 40.36/40.53 (* end of lemma zenon_L597_ *) % 40.36/40.53 assert (zenon_L598_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H205 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hd0 zenon_H57 zenon_H459 zenon_Hda zenon_H456 zenon_H6f zenon_He2 zenon_H4bc zenon_H17f zenon_H1e7 zenon_H1e0 zenon_H1c3 zenon_H1bd zenon_H1b8 zenon_H1c6 zenon_H1cf zenon_H1da zenon_H1a0 zenon_H1fb zenon_H207 zenon_H17e zenon_H193 zenon_H156 zenon_H1ec. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.39/40.54 exact (zenon_H216 zenon_H213). % 40.39/40.54 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.39/40.54 apply (zenon_L76_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.39/40.54 apply (zenon_L77_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.39/40.54 apply (zenon_L78_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.39/40.54 apply (zenon_L91_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.39/40.54 apply (zenon_L93_); trivial. % 40.39/40.54 apply (zenon_L597_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.39/40.54 exact (zenon_H207 zenon_H20c). % 40.39/40.54 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.39/40.54 exact (zenon_H17e zenon_H18e). % 40.39/40.54 apply (zenon_L95_); trivial. % 40.39/40.54 (* end of lemma zenon_L598_ *) % 40.39/40.54 assert (zenon_L599_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H235 zenon_H20d zenon_Hda zenon_H37 zenon_H75 zenon_H5f zenon_H456 zenon_H42 zenon_H44 zenon_H31 zenon_He5 zenon_He6 zenon_He1 zenon_H460 zenon_H44b zenon_H39 zenon_H4d zenon_H3a zenon_H64 zenon_H224 zenon_H1fb zenon_H3ee zenon_Heb zenon_H261 zenon_Hbc zenon_H78 zenon_Ha7 zenon_Had zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_Ha2 zenon_H6f zenon_Hc7 zenon_He2 zenon_H5c zenon_H59 zenon_H48 zenon_H459 zenon_Hd0 zenon_Hce zenon_Hd4 zenon_H9c zenon_H96 zenon_H3c4 zenon_H3bd zenon_H3b9 zenon_H3ad zenon_H62 zenon_Ha3 zenon_H3a8 zenon_H3a7 zenon_H3a2 zenon_H428 zenon_H4bc zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H17f zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H17e zenon_H205 zenon_H199 zenon_H156 zenon_H193 zenon_H192 zenon_H216. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.54 apply (zenon_L44_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.54 apply (zenon_L563_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.54 exact (zenon_H460 zenon_H441). % 40.39/40.54 apply (zenon_L598_); trivial. % 40.39/40.54 apply (zenon_L105_); trivial. % 40.39/40.54 (* end of lemma zenon_L599_ *) % 40.39/40.54 assert (zenon_L600_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.39/40.54 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.39/40.54 apply (zenon_L485_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.39/40.54 apply (zenon_L481_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.39/40.54 apply (zenon_L572_); trivial. % 40.39/40.54 apply (zenon_L36_); trivial. % 40.39/40.54 (* end of lemma zenon_L600_ *) % 40.39/40.54 assert (zenon_L601_ : ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H17f zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_H42 zenon_Hce zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.39/40.54 apply (zenon_L29_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.39/40.54 apply (zenon_L600_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.39/40.54 apply (zenon_L232_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.39/40.54 apply (zenon_L48_); trivial. % 40.39/40.54 apply (zenon_L34_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.39/40.54 apply (zenon_L40_); trivial. % 40.39/40.54 apply (zenon_L42_); trivial. % 40.39/40.54 (* end of lemma zenon_L601_ *) % 40.39/40.54 assert (zenon_L602_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H23c zenon_H163 zenon_H238 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hd0 zenon_H57 zenon_H459 zenon_Hda zenon_H456 zenon_H6f zenon_He2 zenon_H4bc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.39/40.54 apply (zenon_L72_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.39/40.54 exact (zenon_H238 zenon_H1f4). % 40.39/40.54 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.39/40.54 apply (zenon_L597_); trivial. % 40.39/40.54 apply (zenon_L188_); trivial. % 40.39/40.54 (* end of lemma zenon_L602_ *) % 40.39/40.54 assert (zenon_L603_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H23c zenon_H163 zenon_H238 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hd0 zenon_H459 zenon_Hda zenon_H456 zenon_H6f zenon_He2 zenon_H4bc zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H1e7. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.54 apply (zenon_L44_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.54 apply (zenon_L563_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.54 exact (zenon_H460 zenon_H441). % 40.39/40.54 apply (zenon_L602_); trivial. % 40.39/40.54 (* end of lemma zenon_L603_ *) % 40.39/40.54 assert (zenon_L604_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_Hce zenon_H3a2 zenon_H3a8 zenon_H9c zenon_H3ee zenon_Heb zenon_He1 zenon_H460 zenon_H4b7 zenon_H20c zenon_H170 zenon_H259 zenon_H212 zenon_H201 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H57 zenon_H3b9 zenon_Hd8 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.39/40.54 apply (zenon_L577_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.39/40.54 apply (zenon_L232_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.39/40.54 apply (zenon_L48_); trivial. % 40.39/40.54 apply (zenon_L34_); trivial. % 40.39/40.54 (* end of lemma zenon_L604_ *) % 40.39/40.54 assert (zenon_L605_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_Hce zenon_H3a2 zenon_H3a8 zenon_H9c zenon_H3ee zenon_Heb zenon_He1 zenon_H460 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1eb zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H57 zenon_H3b9 zenon_Hd8 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.39/40.54 apply (zenon_L580_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.39/40.54 apply (zenon_L232_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.39/40.54 apply (zenon_L48_); trivial. % 40.39/40.54 apply (zenon_L34_); trivial. % 40.39/40.54 (* end of lemma zenon_L605_ *) % 40.39/40.54 assert (zenon_L606_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H4bc zenon_He2 zenon_H6f zenon_Hd0 zenon_Hc7 zenon_H459 zenon_Hda zenon_H456 zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H3a7 zenon_H3a2 zenon_H3a8 zenon_He1 zenon_H460 zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1eb zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.39/40.54 apply (zenon_L551_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.39/40.54 apply (zenon_L29_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.54 apply (zenon_L44_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.54 apply (zenon_L368_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.54 exact (zenon_H460 zenon_H441). % 40.39/40.54 apply (zenon_L605_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.39/40.54 apply (zenon_L40_); trivial. % 40.39/40.54 apply (zenon_L42_); trivial. % 40.39/40.54 apply (zenon_L540_); trivial. % 40.39/40.54 (* end of lemma zenon_L606_ *) % 40.39/40.54 assert (zenon_L607_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> False). % 40.39/40.54 do 0 intro. intros zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H15f zenon_H297 zenon_H224 zenon_H216 zenon_H192 zenon_H199 zenon_H294 zenon_H269 zenon_H212 zenon_H29c zenon_H20c zenon_H27f zenon_H29d zenon_H28d zenon_H1da zenon_H286 zenon_H217 zenon_H150 zenon_H291 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1b8 zenon_H1b9 zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H1e7 zenon_H1c6 zenon_H1bd zenon_H1c3 zenon_H1a0 zenon_H1fb zenon_H26f zenon_H1a8 zenon_H156 zenon_H259 zenon_H2a1 zenon_H460 zenon_He1 zenon_Heb zenon_H3ee zenon_H9c zenon_H3a8 zenon_H3a4 zenon_H3a2 zenon_Hce zenon_H42 zenon_Hd0 zenon_Hc1 zenon_Hc7 zenon_H3a7 zenon_H96 zenon_Hd4 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_H31 zenon_H44b zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_Hb4. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H49 | zenon_intro zenon_Hbd ]. % 40.39/40.54 apply (zenon_L485_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_H4a | zenon_intro zenon_Hbe ]. % 40.39/40.54 apply (zenon_L491_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 40.39/40.54 apply (zenon_L572_); trivial. % 40.39/40.54 apply (zenon_L36_); trivial. % 40.39/40.54 (* end of lemma zenon_L607_ *) % 40.39/40.54 assert (zenon_L608_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H96 zenon_H3a7 zenon_Hc7 zenon_Hc1 zenon_Hd0 zenon_Hce zenon_H3a2 zenon_H3a8 zenon_H9c zenon_H3ee zenon_Heb zenon_He1 zenon_H460 zenon_H2a1 zenon_H259 zenon_H156 zenon_H1a8 zenon_H26f zenon_H1fb zenon_H1a0 zenon_H1c3 zenon_H1bd zenon_H1c6 zenon_H1e7 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1b9 zenon_H1b8 zenon_H1df zenon_H1a7 zenon_H1ac zenon_H1b2 zenon_H201 zenon_H291 zenon_H150 zenon_H217 zenon_H286 zenon_H1da zenon_H28d zenon_H29d zenon_H27f zenon_H20c zenon_H29c zenon_H212 zenon_H269 zenon_H294 zenon_H199 zenon_H192 zenon_H216 zenon_H224 zenon_H297 zenon_H15f zenon_H3b9 zenon_Hd8 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H42 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c4); [ zenon_intro zenon_H3a4 | zenon_intro zenon_H3c5 ]. % 40.39/40.54 apply (zenon_L607_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c5); [ zenon_intro zenon_H3ac | zenon_intro zenon_H3c6 ]. % 40.39/40.54 apply (zenon_L232_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H3c6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hae ]. % 40.39/40.54 apply (zenon_L48_); trivial. % 40.39/40.54 apply (zenon_L34_); trivial. % 40.39/40.54 (* end of lemma zenon_L608_ *) % 40.39/40.54 assert (zenon_L609_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e11) = (e13))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H2cb zenon_H1c6 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hd0 zenon_H57 zenon_H459 zenon_Hda zenon_H456 zenon_H6f zenon_He2 zenon_H4bc zenon_H1e7. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1e1 ]. % 40.39/40.54 apply (zenon_L80_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1e2 ]. % 40.39/40.54 apply (zenon_L81_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1ca ]. % 40.39/40.54 apply (zenon_L82_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.39/40.54 apply (zenon_L72_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.39/40.54 apply (zenon_L155_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.39/40.54 apply (zenon_L597_); trivial. % 40.39/40.54 apply (zenon_L112_); trivial. % 40.39/40.54 (* end of lemma zenon_L609_ *) % 40.39/40.54 assert (zenon_L610_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e23) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((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 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e11) = (e13))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H2df zenon_H23c zenon_H163 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_H37 zenon_Hce zenon_H42 zenon_H428 zenon_H9c zenon_H96 zenon_H3ee zenon_Heb zenon_H3a zenon_Had zenon_H75 zenon_H64 zenon_H4d zenon_H39 zenon_He5 zenon_He6 zenon_H3bd zenon_Hb4 zenon_Ha7 zenon_H78 zenon_Hb9 zenon_Ha5 zenon_H62 zenon_H5c zenon_H48 zenon_H59 zenon_Hbc zenon_H44 zenon_Ha2 zenon_Ha3 zenon_H5f zenon_H3ad zenon_H261 zenon_H3b9 zenon_H201 zenon_H1b2 zenon_H1a8 zenon_H156 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1ff zenon_H4c0 zenon_H246 zenon_H24b zenon_H575 zenon_H1f8 zenon_H1ec zenon_H193 zenon_H1f5 zenon_H206 zenon_H460 zenon_He1 zenon_H3a8 zenon_H3a2 zenon_H3a7 zenon_Hd4 zenon_H31 zenon_H44b zenon_H3c4 zenon_Hc7 zenon_Hd0 zenon_H57 zenon_H459 zenon_Hda zenon_H456 zenon_H6f zenon_He2 zenon_H4bc zenon_H1e7. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H280. zenon_intro zenon_H2e0. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2c5. zenon_intro zenon_H140. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.39/40.54 apply (zenon_L609_); trivial. % 40.39/40.54 (* end of lemma zenon_L610_ *) % 40.39/40.54 assert (zenon_L611_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H2da zenon_H30b zenon_H1eb zenon_H4bc zenon_He2 zenon_H6f zenon_H456 zenon_Hda zenon_H459 zenon_H57 zenon_Hd0 zenon_Hc7 zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H3a7 zenon_H3a2 zenon_H3a8 zenon_He1 zenon_H460 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.39/40.54 apply (zenon_L78_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.39/40.54 apply (zenon_L186_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.39/40.54 exact (zenon_H1eb zenon_H1e6). % 40.39/40.54 apply (zenon_L597_); trivial. % 40.39/40.54 (* end of lemma zenon_L611_ *) % 40.39/40.54 assert (zenon_L612_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H2da zenon_H30b zenon_H1eb zenon_H4bc zenon_He2 zenon_H6f zenon_H456 zenon_Hda zenon_H459 zenon_Hd0 zenon_Hc7 zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H3a7 zenon_H3a2 zenon_H3a8 zenon_He1 zenon_H460 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.54 apply (zenon_L44_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.54 apply (zenon_L368_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.54 exact (zenon_H460 zenon_H441). % 40.39/40.54 apply (zenon_L611_); trivial. % 40.39/40.54 (* end of lemma zenon_L612_ *) % 40.39/40.54 assert (zenon_L613_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> ((e23) = (op2 (e20) (e20))) -> False). % 40.39/40.54 do 0 intro. intros zenon_H4bc zenon_He2 zenon_H6f zenon_H456 zenon_Hda zenon_H459 zenon_Hd0 zenon_Hc7 zenon_H3c4 zenon_H44b zenon_H31 zenon_Hd4 zenon_H3a7 zenon_H3a2 zenon_H3a8 zenon_He1 zenon_H460 zenon_H206 zenon_H1f5 zenon_H193 zenon_H1ec zenon_H1f8 zenon_H575 zenon_H24b zenon_H246 zenon_H4c0 zenon_H1c1 zenon_H1ff zenon_H1df zenon_H1a7 zenon_H1ac zenon_H156 zenon_H1a8 zenon_H1b2 zenon_H201 zenon_H3b9 zenon_H261 zenon_H3ad zenon_H5f zenon_Ha3 zenon_Ha2 zenon_H44 zenon_Hbc zenon_H59 zenon_H48 zenon_H5c zenon_H62 zenon_Ha5 zenon_Hb9 zenon_H78 zenon_Ha7 zenon_Hb4 zenon_H3bd zenon_He6 zenon_He5 zenon_H39 zenon_H4d zenon_H64 zenon_H75 zenon_Had zenon_H3a zenon_Heb zenon_H3ee zenon_H96 zenon_H9c zenon_H428 zenon_H42 zenon_Hce zenon_H37. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.39/40.54 apply (zenon_L542_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.39/40.54 apply (zenon_L596_); trivial. % 40.39/40.54 apply (zenon_L540_); trivial. % 40.39/40.54 (* end of lemma zenon_L613_ *) % 40.39/40.54 assert (zenon_L614_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 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(e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e23) = (op2 (e20) (e20))) -> (~((e22) = (e23))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 40.39/40.54 do 0 intro. intros zenon_Hf7 zenon_H3a2 zenon_H3a7 zenon_H3a8 zenon_Ha3 zenon_H62 zenon_H3ad zenon_H3b9 zenon_H3bd zenon_H3c4 zenon_He5 zenon_H35f zenon_H30b zenon_H32a zenon_H325 zenon_H214 zenon_H2ca zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H29c zenon_H29d zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H259 zenon_H4b7 zenon_H23c zenon_H223 zenon_H261 zenon_H428 zenon_H4bc zenon_Heb zenon_H224 zenon_H1fb zenon_Hda zenon_H75 zenon_H5f zenon_H456 zenon_H44 zenon_Ha2 zenon_H44b zenon_H460 zenon_H6f zenon_H31 zenon_Hc7 zenon_He2 zenon_H39 zenon_H4d zenon_H3a zenon_H64 zenon_Hbc zenon_H78 zenon_Ha7 zenon_Had zenon_Hb4 zenon_Hb9 zenon_Ha5 zenon_H1f8 zenon_H1f5 zenon_H1ec zenon_H575 zenon_H24b zenon_H4c0 zenon_H246 zenon_H1ff zenon_H201 zenon_H206 zenon_H5c zenon_H59 zenon_H48 zenon_H459 zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_Hd0 zenon_Hce zenon_Hd4 zenon_H9c zenon_H42 zenon_H96 zenon_H37 zenon_H3ee zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H448 zenon_Hf9. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He6 ]. % 40.39/40.54 apply (zenon_L562_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.39/40.54 apply (zenon_L61_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.39/40.54 apply (zenon_L62_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.39/40.54 apply (zenon_L63_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.39/40.54 apply (zenon_L64_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.39/40.54 apply (zenon_L65_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.39/40.54 apply (zenon_L66_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.39/40.54 apply (zenon_L73_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.39/40.54 apply (zenon_L74_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.39/40.54 apply (zenon_L599_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.39/40.54 apply (zenon_L538_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.39/40.54 apply (zenon_L601_); trivial. % 40.39/40.54 apply (zenon_L540_); trivial. % 40.39/40.54 apply (zenon_L108_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H146. zenon_intro zenon_H23d. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H148. zenon_intro zenon_H23e. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.39/40.54 apply (zenon_L603_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.39/40.54 apply (zenon_L114_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.39/40.54 apply (zenon_L548_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.39/40.54 apply (zenon_L29_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.54 apply (zenon_L44_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.54 apply (zenon_L563_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.54 exact (zenon_H460 zenon_H441). % 40.39/40.54 apply (zenon_L604_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.39/40.54 apply (zenon_L547_); trivial. % 40.39/40.54 apply (zenon_L42_); trivial. % 40.39/40.54 apply (zenon_L540_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.39/40.54 apply (zenon_L127_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.39/40.54 apply (zenon_L128_); trivial. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21c. zenon_intro zenon_H21b. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H217. zenon_intro zenon_H221. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H1eb | zenon_intro zenon_H297 ]. % 40.39/40.54 apply (zenon_L606_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bc); [ zenon_intro zenon_Hfc | zenon_intro zenon_H4bd ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4bd); [ zenon_intro zenon_H3b3 | zenon_intro zenon_H4be ]. % 40.39/40.54 apply (zenon_L555_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H4be); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H473 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 40.39/40.54 apply (zenon_L254_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H97 | zenon_intro zenon_Hfd ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc0 ]. % 40.39/40.54 apply (zenon_L29_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H97 | zenon_intro zenon_Hd6 ]. % 40.39/40.54 apply (zenon_L28_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 40.39/40.54 apply (zenon_L608_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd1 ]. % 40.39/40.54 apply (zenon_L554_); trivial. % 40.39/40.54 apply (zenon_L42_); trivial. % 40.39/40.54 apply (zenon_L540_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.39/40.54 apply (zenon_L145_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.39/40.54 apply (zenon_L147_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.39/40.54 apply (zenon_L148_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.39/40.54 apply (zenon_L149_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.39/40.54 apply (zenon_L150_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.39/40.54 apply (zenon_L151_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.39/40.54 apply (zenon_L152_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.39/40.54 apply (zenon_L153_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.54 apply (zenon_L44_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.54 apply (zenon_L563_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.54 exact (zenon_H460 zenon_H441). % 40.39/40.54 apply (zenon_L610_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.39/40.54 apply (zenon_L166_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.39/40.54 apply (zenon_L167_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.39/40.54 apply (zenon_L168_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.39/40.54 apply (zenon_L169_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.39/40.54 apply (zenon_L170_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.39/40.54 apply (zenon_L171_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.39/40.54 apply (zenon_L172_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.39/40.54 apply (zenon_L173_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.39/40.54 apply (zenon_L174_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.39/40.54 apply (zenon_L175_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.39/40.54 apply (zenon_L176_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.39/40.54 apply (zenon_L177_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.39/40.54 apply (zenon_L178_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.39/40.54 apply (zenon_L179_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.39/40.54 apply (zenon_L180_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.39/40.54 apply (zenon_L181_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.39/40.54 apply (zenon_L182_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.39/40.54 apply (zenon_L183_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.39/40.54 apply (zenon_L184_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.39/40.54 apply (zenon_L185_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H18e. zenon_intro zenon_H317. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H18f. zenon_intro zenon_H23e. % 40.39/40.54 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.39/40.54 apply (zenon_L603_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.39/40.54 apply (zenon_L195_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.39/40.54 apply (zenon_L196_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.39/40.54 apply (zenon_L197_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.39/40.54 apply (zenon_L198_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.39/40.54 apply (zenon_L200_); trivial. % 40.39/40.54 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.39/40.55 apply (zenon_L612_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.39/40.55 apply (zenon_L205_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.39/40.55 apply (zenon_L206_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.39/40.55 apply (zenon_L207_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.39/40.55 apply (zenon_L208_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.39/40.55 apply (zenon_L209_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.39/40.55 apply (zenon_L210_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.39/40.55 apply (zenon_L211_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.39/40.55 apply (zenon_L212_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.39/40.55 apply (zenon_L213_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.39/40.55 apply (zenon_L214_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.39/40.55 apply (zenon_L215_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.39/40.55 apply (zenon_L613_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.39/40.55 apply (zenon_L217_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.39/40.55 apply (zenon_L218_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.39/40.55 apply (zenon_L219_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.39/40.55 apply (zenon_L220_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.39/40.55 apply (zenon_L221_); trivial. % 40.39/40.55 apply (zenon_L222_); trivial. % 40.39/40.55 apply (zenon_L417_); trivial. % 40.39/40.55 (* end of lemma zenon_L614_ *) % 40.39/40.55 assert (zenon_L615_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op2 (e20) (op2 (e20) (e20))) = (e20))/\(((op2 (e20) (op2 (e20) (e21))) = (e21))/\(((op2 (e20) (op2 (e20) (e22))) = (e22))/\(((op2 (e20) (op2 (e20) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20)))/\(((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21)))/\(((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22)))/\((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22)))/\((~((op2 (e23) (e23)) = (e21)))\/((op2 (e23) (e21)) = (e23))))))))))\/((((op2 (e22) (op2 (e22) (e20))) = (e20))/\(((op2 (e22) (op2 (e22) (e21))) = (e21))/\(((op2 (e22) (op2 (e22) (e22))) = (e22))/\(((op2 (e22) (op2 (e22) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/((op2 (e20) (e22)) = (e20)))/\(((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))))))))))\/(((op2 (e23) (op2 (e23) (e20))) = (e20))/\(((op2 (e23) (op2 (e23) (e21))) = (e21))/\(((op2 (e23) (op2 (e23) (e22))) = (e22))/\(((op2 (e23) (op2 (e23) (e23))) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20)))/\(((~((op2 (e21) (e21)) = (e23)))\/((op2 (e21) (e23)) = (e21)))/\(((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((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 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (e20))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H496 zenon_H111 zenon_H35f zenon_H57b zenon_H30b zenon_H32a zenon_H325 zenon_H214 zenon_H2ca zenon_H2a1 zenon_H294 zenon_H291 zenon_H28d zenon_H286 zenon_H27f zenon_H29c zenon_H29d zenon_H25d zenon_H269 zenon_H26f zenon_H275 zenon_H259 zenon_H4b7 zenon_H23c zenon_H223 zenon_H224 zenon_H1fb zenon_H5c zenon_H42 zenon_H4d zenon_H48 zenon_H206 zenon_H201 zenon_H1ff zenon_H246 zenon_H4c0 zenon_H24b zenon_H575 zenon_H1ec zenon_H1f5 zenon_H1f8 zenon_Ha5 zenon_Hbc zenon_H1e7 zenon_H1a7 zenon_H1a8 zenon_H1ac zenon_H1b2 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1b8 zenon_H1bd zenon_H1c3 zenon_H1c6 zenon_H1df zenon_H1a0 zenon_H205 zenon_H199 zenon_H193 zenon_H192 zenon_H20d zenon_H163 zenon_H150 zenon_H158 zenon_H156 zenon_H15f zenon_H16b zenon_H7f zenon_Hb9 zenon_H78 zenon_Ha7 zenon_H37 zenon_H3a zenon_Had zenon_H59. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H3d2. zenon_intro zenon_H3c9. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.39/40.55 apply (zenon_L527_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.39/40.55 apply (zenon_L327_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.39/40.55 apply (zenon_L237_); trivial. % 40.39/40.55 apply (zenon_L303_); trivial. % 40.39/40.55 (* end of lemma zenon_L615_ *) % 40.39/40.55 assert (zenon_L616_ : ((h1 (e13)) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> ((e23) = (op2 (e20) (e20))) -> (~((e23) = (h1 (op1 (e13) (e12))))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H4c0 zenon_H1c1 zenon_H37 zenon_H57d. % 40.39/40.55 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H57e | zenon_intro zenon_H57f ]. % 40.39/40.55 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((e23) = (h1 (op1 (e13) (e12))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H57d. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H57e. % 40.39/40.55 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H57f]. % 40.39/40.55 cut (((h1 (op1 (e13) (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H580]. % 40.39/40.55 congruence. % 40.39/40.55 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e13) (e12))) = (e23))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H580. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H4c0. % 40.39/40.55 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 40.39/40.55 cut (((h1 (e13)) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H581]. % 40.39/40.55 congruence. % 40.39/40.55 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H57e | zenon_intro zenon_H57f ]. % 40.39/40.55 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((h1 (e13)) = (h1 (op1 (e13) (e12))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H581. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H57e. % 40.39/40.55 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H57f]. % 40.39/40.55 cut (((h1 (op1 (e13) (e12))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H582]. % 40.39/40.55 congruence. % 40.39/40.55 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b4]. % 40.39/40.55 congruence. % 40.39/40.55 exact (zenon_H2b4 zenon_H1c1). % 40.39/40.55 apply zenon_H57f. apply refl_equal. % 40.39/40.55 apply zenon_H57f. apply refl_equal. % 40.39/40.55 apply zenon_H38. apply sym_equal. exact zenon_H37. % 40.39/40.55 apply zenon_H57f. apply refl_equal. % 40.39/40.55 apply zenon_H57f. apply refl_equal. % 40.39/40.55 (* end of lemma zenon_L616_ *) % 40.39/40.55 assert (zenon_L617_ : ((op2 (e23) (e22)) = (e23)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> ((op1 (e13) (e12)) = (e13)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H57 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H1c1 zenon_H583. % 40.39/40.55 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H584 | zenon_intro zenon_H585 ]. % 40.39/40.55 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H583. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H584. % 40.39/40.55 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H585]. % 40.39/40.55 cut (((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H586]. % 40.39/40.55 congruence. % 40.39/40.55 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H586. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H57. % 40.39/40.55 cut (((e23) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H57d]. % 40.39/40.55 cut (((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H587]. % 40.39/40.55 congruence. % 40.39/40.55 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H584 | zenon_intro zenon_H585 ]. % 40.39/40.55 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H587. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H584. % 40.39/40.55 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H585]. % 40.39/40.55 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H588]. % 40.39/40.55 congruence. % 40.39/40.55 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a4]. % 40.39/40.55 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4bf]. % 40.39/40.55 congruence. % 40.39/40.55 apply (zenon_L347_); trivial. % 40.39/40.55 apply (zenon_L336_); trivial. % 40.39/40.55 apply zenon_H585. apply refl_equal. % 40.39/40.55 apply zenon_H585. apply refl_equal. % 40.39/40.55 apply (zenon_L616_); trivial. % 40.39/40.55 apply zenon_H585. apply refl_equal. % 40.39/40.55 apply zenon_H585. apply refl_equal. % 40.39/40.55 (* end of lemma zenon_L617_ *) % 40.39/40.55 assert (zenon_L618_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op1 (e10) (e11)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (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) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e23) (e22)) = (e23)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H1fb zenon_H1a0 zenon_H156 zenon_H1da zenon_H193 zenon_H1db zenon_H1d4 zenon_H1cf zenon_H1a8 zenon_H1c6 zenon_H1b8 zenon_H1b2 zenon_H1bd zenon_H1c3 zenon_H1e0 zenon_H1ac zenon_H1a7 zenon_H1df zenon_H1e7 zenon_H17f zenon_H57 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H583. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.39/40.55 apply (zenon_L78_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.39/40.55 apply (zenon_L91_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.39/40.55 apply (zenon_L93_); trivial. % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 (* end of lemma zenon_L618_ *) % 40.39/40.55 assert (zenon_L619_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op2 (e23) (e22)) = (e23)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H1c6 zenon_H1b9 zenon_H1b8 zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H57 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H583. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c7 ]. % 40.39/40.55 apply (zenon_L83_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c8 ]. % 40.39/40.55 apply (zenon_L82_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1c1 ]. % 40.39/40.55 apply (zenon_L84_); trivial. % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 (* end of lemma zenon_L619_ *) % 40.39/40.55 assert (zenon_L620_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e22)) = (e23)) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H23c zenon_H163 zenon_H156 zenon_H238 zenon_H583 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H57 zenon_H1ca zenon_H1e7. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H162 | zenon_intro zenon_H23f ]. % 40.39/40.55 apply (zenon_L72_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H240 ]. % 40.39/40.55 exact (zenon_H238 zenon_H1f4). % 40.39/40.55 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H239 ]. % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 apply (zenon_L112_); trivial. % 40.39/40.55 (* end of lemma zenon_L620_ *) % 40.39/40.55 assert (zenon_L621_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e10) (e10))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> ((op2 (e23) (e22)) = (e23)) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H1c6 zenon_H2cb zenon_H2ca zenon_H1a8 zenon_H1b2 zenon_H1bd zenon_H156 zenon_H193 zenon_H57 zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H583. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c7 ]. % 40.39/40.55 apply (zenon_L154_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c8 ]. % 40.39/40.55 apply (zenon_L82_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1c1 ]. % 40.39/40.55 apply (zenon_L84_); trivial. % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 (* end of lemma zenon_L621_ *) % 40.39/40.55 assert (zenon_L622_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((op2 (e23) (e22)) = (e23)) -> False). % 40.39/40.55 do 0 intro. intros zenon_H35f zenon_H150 zenon_H224 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1c3 zenon_H1ec zenon_H205 zenon_H192 zenon_H20d zenon_H158 zenon_H16b zenon_H223 zenon_H1b8 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1df zenon_H214 zenon_H1a7 zenon_H193 zenon_H199 zenon_H1e7 zenon_H23c zenon_H325 zenon_H15f zenon_H32a zenon_H30b zenon_H1a0 zenon_H1fb zenon_H163 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H583 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H57. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.39/40.55 apply (zenon_L61_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.39/40.55 apply (zenon_L62_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.39/40.55 apply (zenon_L63_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.39/40.55 apply (zenon_L64_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.39/40.55 apply (zenon_L65_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.39/40.55 apply (zenon_L66_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H146. zenon_intro zenon_H225. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H148. zenon_intro zenon_H226. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.39/40.55 apply (zenon_L73_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.39/40.55 apply (zenon_L74_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22b. zenon_intro zenon_H22a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H22d. zenon_intro zenon_H22c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H22f. zenon_intro zenon_H22e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H231. zenon_intro zenon_H230. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H230). zenon_intro zenon_H233. zenon_intro zenon_H232. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H235. zenon_intro zenon_H234. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H216 | zenon_intro zenon_H1b9 ]. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H207 | zenon_intro zenon_H20e ]. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.39/40.55 exact (zenon_H216 zenon_H213). % 40.39/40.55 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.39/40.55 apply (zenon_L76_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.39/40.55 apply (zenon_L77_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1db | zenon_intro zenon_H208 ]. % 40.39/40.55 apply (zenon_L618_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 40.39/40.55 exact (zenon_H207 zenon_H20c). % 40.39/40.55 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H18e | zenon_intro zenon_H1f0 ]. % 40.39/40.55 exact (zenon_H17e zenon_H18e). % 40.39/40.55 apply (zenon_L95_); trivial. % 40.39/40.55 apply (zenon_L105_); trivial. % 40.39/40.55 apply (zenon_L619_); trivial. % 40.39/40.55 apply (zenon_L108_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H146. zenon_intro zenon_H23d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H148. zenon_intro zenon_H23e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.39/40.55 apply (zenon_L620_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.39/40.55 apply (zenon_L114_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.39/40.55 apply (zenon_L619_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.39/40.55 apply (zenon_L145_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.39/40.55 apply (zenon_L147_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.39/40.55 apply (zenon_L148_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.39/40.55 apply (zenon_L149_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.39/40.55 apply (zenon_L150_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.39/40.55 apply (zenon_L151_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.39/40.55 apply (zenon_L152_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.39/40.55 apply (zenon_L153_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H280. zenon_intro zenon_H2e0. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2c5. zenon_intro zenon_H140. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H2cb. zenon_intro zenon_H19e. % 40.39/40.55 apply (zenon_L621_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.39/40.55 apply (zenon_L166_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.39/40.55 apply (zenon_L167_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.39/40.55 apply (zenon_L168_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.39/40.55 apply (zenon_L169_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.39/40.55 apply (zenon_L170_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.39/40.55 apply (zenon_L171_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.39/40.55 apply (zenon_L172_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.39/40.55 apply (zenon_L173_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.39/40.55 apply (zenon_L174_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.39/40.55 apply (zenon_L175_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.39/40.55 apply (zenon_L176_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.39/40.55 apply (zenon_L177_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.39/40.55 apply (zenon_L178_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.39/40.55 apply (zenon_L179_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.39/40.55 apply (zenon_L180_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.39/40.55 apply (zenon_L181_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.39/40.55 apply (zenon_L182_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.39/40.55 apply (zenon_L183_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.39/40.55 apply (zenon_L184_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.39/40.55 apply (zenon_L185_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H18e. zenon_intro zenon_H317. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H18f. zenon_intro zenon_H23e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H1ca. zenon_intro zenon_H238. % 40.39/40.55 apply (zenon_L620_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.39/40.55 apply (zenon_L195_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.39/40.55 apply (zenon_L196_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.39/40.55 apply (zenon_L197_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.39/40.55 apply (zenon_L198_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.39/40.55 apply (zenon_L200_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1fc ]. % 40.39/40.55 apply (zenon_L78_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1fd ]. % 40.39/40.55 apply (zenon_L186_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1c1 ]. % 40.39/40.55 exact (zenon_H1eb zenon_H1e6). % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.39/40.55 apply (zenon_L205_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.39/40.55 apply (zenon_L206_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.39/40.55 apply (zenon_L207_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.39/40.55 apply (zenon_L208_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.39/40.55 apply (zenon_L209_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.39/40.55 apply (zenon_L210_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.39/40.55 apply (zenon_L211_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.39/40.55 apply (zenon_L212_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.39/40.55 apply (zenon_L213_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.39/40.55 apply (zenon_L214_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1c1. zenon_intro zenon_H352. % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.39/40.55 apply (zenon_L617_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.39/40.55 apply (zenon_L217_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.39/40.55 apply (zenon_L218_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.39/40.55 apply (zenon_L219_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.39/40.55 apply (zenon_L220_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.39/40.55 apply (zenon_L221_); trivial. % 40.39/40.55 apply (zenon_L222_); trivial. % 40.39/40.55 (* end of lemma zenon_L622_ *) % 40.39/40.55 assert (zenon_L623_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H12c zenon_H7f zenon_H40e zenon_H57c zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H583 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H163 zenon_H1fb zenon_H1a0 zenon_H30b zenon_H32a zenon_H15f zenon_H325 zenon_H23c zenon_H1e7 zenon_H199 zenon_H193 zenon_H1a7 zenon_H214 zenon_H1df zenon_H1ac zenon_H1b2 zenon_H201 zenon_H1c6 zenon_H2ca zenon_H1bd zenon_H1b8 zenon_H223 zenon_H16b zenon_H158 zenon_H20d zenon_H192 zenon_H205 zenon_H1ec zenon_H1c3 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H224 zenon_H150 zenon_H35f zenon_H6a zenon_H128. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.55 apply (zenon_L26_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.55 apply (zenon_L514_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.55 apply (zenon_L622_); trivial. % 40.39/40.55 apply (zenon_L56_); trivial. % 40.39/40.55 (* end of lemma zenon_L623_ *) % 40.39/40.55 assert (zenon_L624_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H463 zenon_H54a zenon_H3b9 zenon_H128 zenon_H35f zenon_H150 zenon_H224 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1c3 zenon_H1ec zenon_H205 zenon_H192 zenon_H20d zenon_H158 zenon_H16b zenon_H223 zenon_H1b8 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1df zenon_H214 zenon_H1a7 zenon_H193 zenon_H199 zenon_H1e7 zenon_H23c zenon_H325 zenon_H15f zenon_H32a zenon_H30b zenon_H1a0 zenon_H1fb zenon_H163 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H583 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5 zenon_H57c zenon_H7f zenon_H12c zenon_H3ee. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H94. zenon_intro zenon_H466. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H95. zenon_intro zenon_H131. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H6a. zenon_intro zenon_H126. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H54b ]. % 40.39/40.55 apply (zenon_L231_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H40e | zenon_intro zenon_H54c ]. % 40.39/40.55 apply (zenon_L623_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H431 | zenon_intro zenon_H58 ]. % 40.39/40.55 apply (zenon_L289_); trivial. % 40.39/40.55 exact (zenon_H126 zenon_H58). % 40.39/40.55 (* end of lemma zenon_L624_ *) % 40.39/40.55 assert (zenon_L625_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (e10))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((e21) = (e23))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H47c zenon_H75 zenon_H64 zenon_H4d zenon_H3a zenon_H39 zenon_H12c zenon_H7f zenon_H57c zenon_H4a5 zenon_H42 zenon_H4c0 zenon_H37 zenon_H583 zenon_H275 zenon_H25d zenon_H269 zenon_H156 zenon_H1a8 zenon_H26f zenon_H163 zenon_H1fb zenon_H1a0 zenon_H30b zenon_H32a zenon_H15f zenon_H325 zenon_H23c zenon_H1e7 zenon_H199 zenon_H193 zenon_H1a7 zenon_H214 zenon_H1df zenon_H1ac zenon_H1b2 zenon_H201 zenon_H1c6 zenon_H2ca zenon_H1bd zenon_H1b8 zenon_H223 zenon_H16b zenon_H158 zenon_H20d zenon_H192 zenon_H205 zenon_H1ec zenon_H1c3 zenon_H1cf zenon_H1da zenon_H1e0 zenon_H224 zenon_H150 zenon_H35f zenon_H128. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H460. zenon_intro zenon_H3df. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H40e. zenon_intro zenon_Hac. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.55 apply (zenon_L21_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.55 apply (zenon_L15_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.55 apply (zenon_L10_); trivial. % 40.39/40.55 apply (zenon_L623_); trivial. % 40.39/40.55 (* end of lemma zenon_L625_ *) % 40.39/40.55 assert (zenon_L626_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((((op1 (e10) (op1 (e10) (e10))) = (e10))/\(((op1 (e10) (op1 (e10) (e11))) = (e11))/\(((op1 (e10) (op1 (e10) (e12))) = (e12))/\(((op1 (e10) (op1 (e10) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10)))/\(((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11)))/\(((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12)))/\((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))))))))))\/((((op1 (e11) (op1 (e11) (e10))) = (e10))/\(((op1 (e11) (op1 (e11) (e11))) = (e11))/\(((op1 (e11) (op1 (e11) (e12))) = (e12))/\(((op1 (e11) (op1 (e11) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12)))/\((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))))))))))\/((((op1 (e12) (op1 (e12) (e10))) = (e10))/\(((op1 (e12) (op1 (e12) (e11))) = (e11))/\(((op1 (e12) (op1 (e12) (e12))) = (e12))/\(((op1 (e12) (op1 (e12) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/((op1 (e10) (e12)) = (e10)))/\(((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))))))))))\/(((op1 (e13) (op1 (e13) (e10))) = (e10))/\(((op1 (e13) (op1 (e13) (e11))) = (e11))/\(((op1 (e13) (op1 (e13) (e12))) = (e12))/\(((op1 (e13) (op1 (e13) (e13))) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10)))/\(((~((op1 (e11) (e11)) = (e13)))\/((op1 (e11) (e13)) = (e11)))/\(((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e10) (e10)) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e10) (e10)) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((e23) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (e20))) -> ((e22) = (op2 (op2 (e20) (e20)) (e20))) -> ((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H496 zenon_H35f zenon_H150 zenon_H224 zenon_H1e0 zenon_H1da zenon_H1cf zenon_H1c3 zenon_H1ec zenon_H205 zenon_H192 zenon_H20d zenon_H158 zenon_H16b zenon_H223 zenon_H1b8 zenon_H1bd zenon_H2ca zenon_H1c6 zenon_H201 zenon_H1b2 zenon_H1ac zenon_H1df zenon_H214 zenon_H1a7 zenon_H193 zenon_H199 zenon_H1e7 zenon_H23c zenon_H325 zenon_H15f zenon_H32a zenon_H30b zenon_H1a0 zenon_H1fb zenon_H163 zenon_H26f zenon_H1a8 zenon_H156 zenon_H269 zenon_H25d zenon_H275 zenon_H583 zenon_H37 zenon_H4c0 zenon_H42 zenon_H4a5. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H57. zenon_intro zenon_H497. % 40.39/40.55 apply (zenon_L622_); trivial. % 40.39/40.55 (* end of lemma zenon_L626_ *) % 40.39/40.55 assert (zenon_L627_ : (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) -> ((op1 (e13) (e13)) = (e11)) -> ((h1 (e13)) = (op2 (e20) (e20))) -> False). % 40.39/40.55 do 0 intro. intros zenon_H589 zenon_H246 zenon_H1ca zenon_H4c0. % 40.39/40.55 cut (((h1 (e11)) = (op2 (op2 (e20) (e20)) (op2 (e20) (e20)))) = ((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H589. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H246. % 40.39/40.55 cut (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H58a]. % 40.39/40.55 cut (((h1 (e11)) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H58b]. % 40.39/40.55 congruence. % 40.39/40.55 elim (classic ((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [ zenon_intro zenon_H58c | zenon_intro zenon_H58d ]. % 40.39/40.55 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13)))) = ((h1 (e11)) = (h1 (op1 (e13) (e13))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H58b. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H58c. % 40.39/40.55 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H58d]. % 40.39/40.55 cut (((h1 (op1 (e13) (e13))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58e]. % 40.39/40.55 congruence. % 40.39/40.55 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H204]. % 40.39/40.55 congruence. % 40.39/40.55 exact (zenon_H204 zenon_H1ca). % 40.39/40.55 apply zenon_H58d. apply refl_equal. % 40.39/40.55 apply zenon_H58d. apply refl_equal. % 40.39/40.55 cut (((op2 (e20) (e20)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H58f]. % 40.39/40.55 cut (((op2 (e20) (e20)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H58f]. % 40.39/40.55 congruence. % 40.39/40.55 apply zenon_H58f. apply sym_equal. exact zenon_H4c0. % 40.39/40.55 apply zenon_H58f. apply sym_equal. exact zenon_H4c0. % 40.39/40.55 (* end of lemma zenon_L627_ *) % 40.39/40.55 apply NNPP. intro zenon_G. % 40.39/40.55 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H591. zenon_intro zenon_H590. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H590). zenon_intro zenon_H291. zenon_intro zenon_H592. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H592). zenon_intro zenon_H1e0. zenon_intro zenon_H593. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H593). zenon_intro zenon_H32a. zenon_intro zenon_H594. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H594). zenon_intro zenon_H596. zenon_intro zenon_H595. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H595). zenon_intro zenon_H2d6. zenon_intro zenon_H597. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H597). zenon_intro zenon_H4f9. zenon_intro zenon_H598. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H598). zenon_intro zenon_H59a. zenon_intro zenon_H599. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H599). zenon_intro zenon_H537. zenon_intro zenon_H59b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H59b). zenon_intro zenon_H59d. zenon_intro zenon_H59c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H59c). zenon_intro zenon_H312. zenon_intro zenon_H59e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H59e). zenon_intro zenon_H5a0. zenon_intro zenon_H59f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H59f). zenon_intro zenon_H5a2. zenon_intro zenon_H5a1. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5a1). zenon_intro zenon_H1f8. zenon_intro zenon_H5a3. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5a3). zenon_intro zenon_H1c6. zenon_intro zenon_H5a4. % 40.39/40.55 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H5a6. zenon_intro zenon_H5a5. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5a5). zenon_intro zenon_H5a8. zenon_intro zenon_H5a7. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5a7). zenon_intro zenon_H266. zenon_intro zenon_H5a9. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5a9). zenon_intro zenon_H2a0. zenon_intro zenon_H5aa. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5aa). zenon_intro zenon_H2a1. zenon_intro zenon_H5ab. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ab). zenon_intro zenon_H224. zenon_intro zenon_H5ac. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ac). zenon_intro zenon_H5ae. zenon_intro zenon_H5ad. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ad). zenon_intro zenon_H5b0. zenon_intro zenon_H5af. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5af). zenon_intro zenon_H5b2. zenon_intro zenon_H5b1. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5b1). zenon_intro zenon_H5b4. zenon_intro zenon_H5b3. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5b3). zenon_intro zenon_H29d. zenon_intro zenon_H5b5. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5b5). zenon_intro zenon_H5b7. zenon_intro zenon_H5b6. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_H5b9. zenon_intro zenon_H5b8. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H205. zenon_intro zenon_H5ba. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ba). zenon_intro zenon_H524. zenon_intro zenon_H5bb. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5bb). zenon_intro zenon_H316. zenon_intro zenon_H5bc. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5bc). zenon_intro zenon_H5be. zenon_intro zenon_H5bd. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5bd). zenon_intro zenon_H4ff. zenon_intro zenon_H5bf. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5bf). zenon_intro zenon_H294. zenon_intro zenon_H5c0. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c0). zenon_intro zenon_H4b7. zenon_intro zenon_H5c1. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H514. zenon_intro zenon_H5c2. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c2). zenon_intro zenon_H5c4. zenon_intro zenon_H5c3. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c3). zenon_intro zenon_H338. zenon_intro zenon_H5c5. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c5). zenon_intro zenon_H1fb. zenon_intro zenon_H5c6. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c6). zenon_intro zenon_H206. zenon_intro zenon_H5c7. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H16b. zenon_intro zenon_H5c8. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H1df. zenon_intro zenon_H5c9. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H275. zenon_intro zenon_H5ca. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ca). zenon_intro zenon_H5cc. zenon_intro zenon_H5cb. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5cb). zenon_intro zenon_H56b. zenon_intro zenon_H5cd. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5cd). zenon_intro zenon_H23c. zenon_intro zenon_H5ce. % 40.39/40.55 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H5d0. zenon_intro zenon_H5cf. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5cf). zenon_intro zenon_H3bd. zenon_intro zenon_H5d1. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d1). zenon_intro zenon_He2. zenon_intro zenon_H5d2. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d2). zenon_intro zenon_H477. zenon_intro zenon_H5d3. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d3). zenon_intro zenon_H5d5. zenon_intro zenon_H5d4. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d4). zenon_intro zenon_H5d7. zenon_intro zenon_H5d6. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d6). zenon_intro zenon_H4fc. zenon_intro zenon_H5d8. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d8). zenon_intro zenon_H5da. zenon_intro zenon_H5d9. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5d9). zenon_intro zenon_H53a. zenon_intro zenon_H5db. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5db). zenon_intro zenon_H5dd. zenon_intro zenon_H5dc. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5dc). zenon_intro zenon_H44b. zenon_intro zenon_H5de. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5de). zenon_intro zenon_H440. zenon_intro zenon_H5df. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5df). zenon_intro zenon_H5e1. zenon_intro zenon_H5e0. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5e0). zenon_intro zenon_H5c. zenon_intro zenon_H5e2. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5e2). zenon_intro zenon_H5f. zenon_intro zenon_H5e3. % 40.39/40.55 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H5e5. zenon_intro zenon_H5e4. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5e4). zenon_intro zenon_H5e7. zenon_intro zenon_H5e6. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5e6). zenon_intro zenon_H106. zenon_intro zenon_H5e8. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5e8). zenon_intro zenon_H464. zenon_intro zenon_H5e9. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5e9). zenon_intro zenon_H4bc. zenon_intro zenon_H5ea. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ea). zenon_intro zenon_Heb. zenon_intro zenon_H5eb. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5eb). zenon_intro zenon_H5ed. zenon_intro zenon_H5ec. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ec). zenon_intro zenon_H5ef. zenon_intro zenon_H5ee. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ee). zenon_intro zenon_H5f1. zenon_intro zenon_H5f0. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5f0). zenon_intro zenon_H5f3. zenon_intro zenon_H5f2. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5f2). zenon_intro zenon_H3a8. zenon_intro zenon_H5f4. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5f4). zenon_intro zenon_H5f6. zenon_intro zenon_H5f5. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5f5). zenon_intro zenon_Hd4. zenon_intro zenon_H5f7. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5f7). zenon_intro zenon_H5f9. zenon_intro zenon_H5f8. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5f8). zenon_intro zenon_H527. zenon_intro zenon_H5fa. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5fa). zenon_intro zenon_H54a. zenon_intro zenon_H5fb. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5fb). zenon_intro zenon_H465. zenon_intro zenon_H5fc. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5fc). zenon_intro zenon_H502. zenon_intro zenon_H5fd. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5fd). zenon_intro zenon_H3c4. zenon_intro zenon_H5fe. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5fe). zenon_intro zenon_H558. zenon_intro zenon_H5ff. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H5ff). zenon_intro zenon_Hea. zenon_intro zenon_H600. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H600). zenon_intro zenon_H602. zenon_intro zenon_H601. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H601). zenon_intro zenon_H44e. zenon_intro zenon_H603. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H603). zenon_intro zenon_H459. zenon_intro zenon_H604. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H604). zenon_intro zenon_Hbc. zenon_intro zenon_H605. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H605). zenon_intro zenon_H4d0. zenon_intro zenon_H606. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H606). zenon_intro zenon_H75. zenon_intro zenon_H607. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H607). zenon_intro zenon_Hb9. zenon_intro zenon_H608. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H608). zenon_intro zenon_H60a. zenon_intro zenon_H609. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H609). zenon_intro zenon_H60c. zenon_intro zenon_H60b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H60b). zenon_intro zenon_H12c. zenon_intro zenon_H44f. % 40.39/40.55 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H50b. zenon_intro zenon_H60d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H60d). zenon_intro zenon_H32f. zenon_intro zenon_H60e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H60e). zenon_intro zenon_H163. zenon_intro zenon_H60f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H60f). zenon_intro zenon_H27f. zenon_intro zenon_H610. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H610). zenon_intro zenon_H192. zenon_intro zenon_H611. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H611). zenon_intro zenon_H199. zenon_intro zenon_H612. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H612). zenon_intro zenon_H259. zenon_intro zenon_H613. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H613). zenon_intro zenon_H286. zenon_intro zenon_H614. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H614). zenon_intro zenon_H1fe. zenon_intro zenon_H615. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H615). zenon_intro zenon_H333. zenon_intro zenon_H616. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H616). zenon_intro zenon_H57b. zenon_intro zenon_H617. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H617). zenon_intro zenon_H619. zenon_intro zenon_H618. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H618). zenon_intro zenon_H61b. zenon_intro zenon_H61a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H61a). zenon_intro zenon_H1cf. zenon_intro zenon_H61c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H61c). zenon_intro zenon_H1b8. zenon_intro zenon_H61d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H61d). zenon_intro zenon_H20d. zenon_intro zenon_H61e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H61e). zenon_intro zenon_H1c3. zenon_intro zenon_H61f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H61f). zenon_intro zenon_H2ca. zenon_intro zenon_H620. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H620). zenon_intro zenon_H158. zenon_intro zenon_H621. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H621). zenon_intro zenon_H15f. zenon_intro zenon_H622. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H622). zenon_intro zenon_H25d. zenon_intro zenon_H623. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H623). zenon_intro zenon_H625. zenon_intro zenon_H624. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H624). zenon_intro zenon_H269. zenon_intro zenon_H626. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H626). zenon_intro zenon_H26f. zenon_intro zenon_H627. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H627). zenon_intro zenon_H28d. zenon_intro zenon_H628. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H628). zenon_intro zenon_H1a0. zenon_intro zenon_H629. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H629). zenon_intro zenon_H325. zenon_intro zenon_H62a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H62a). zenon_intro zenon_H1da. zenon_intro zenon_H62b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H62b). zenon_intro zenon_H150. zenon_intro zenon_H62c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H62c). zenon_intro zenon_H62e. zenon_intro zenon_H62d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H62d). zenon_intro zenon_H2d3. zenon_intro zenon_H62f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H62f). zenon_intro zenon_H631. zenon_intro zenon_H630. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H630). zenon_intro zenon_H633. zenon_intro zenon_H632. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H632). zenon_intro zenon_H30b. zenon_intro zenon_H634. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H634). zenon_intro zenon_H55c. zenon_intro zenon_H635. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H635). zenon_intro zenon_H637. zenon_intro zenon_H636. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H636). zenon_intro zenon_H639. zenon_intro zenon_H638. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H638). zenon_intro zenon_H63b. zenon_intro zenon_H63a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H63a). zenon_intro zenon_H63d. zenon_intro zenon_H63c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H63c). zenon_intro zenon_H30e. zenon_intro zenon_H63e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H63e). zenon_intro zenon_H640. zenon_intro zenon_H63f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H63f). zenon_intro zenon_H642. zenon_intro zenon_H641. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H641). zenon_intro zenon_H1ec. zenon_intro zenon_H643. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H643). zenon_intro zenon_H1bd. zenon_intro zenon_H644. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H644). zenon_intro zenon_H1a7. zenon_intro zenon_H645. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H645). zenon_intro zenon_H1f5. zenon_intro zenon_H646. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H646). zenon_intro zenon_H1ac. zenon_intro zenon_H1b2. % 40.39/40.55 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H506. zenon_intro zenon_H647. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H647). zenon_intro zenon_H42d. zenon_intro zenon_H648. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H648). zenon_intro zenon_H7f. zenon_intro zenon_H649. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H649). zenon_intro zenon_H3a2. zenon_intro zenon_H64a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H64a). zenon_intro zenon_H96. zenon_intro zenon_H64b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H64b). zenon_intro zenon_H9c. zenon_intro zenon_H64c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H64c). zenon_intro zenon_H261. zenon_intro zenon_H64d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H64d). zenon_intro zenon_H3ad. zenon_intro zenon_H64e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H64e). zenon_intro zenon_H62. zenon_intro zenon_H64f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H3c1. zenon_intro zenon_H650. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H650). zenon_intro zenon_H57c. zenon_intro zenon_H651. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H653. zenon_intro zenon_H652. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_Hc7. zenon_intro zenon_H654. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H654). zenon_intro zenon_H6f. zenon_intro zenon_H655. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_Ha2. zenon_intro zenon_H656. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H656). zenon_intro zenon_He5. zenon_intro zenon_H657. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H657). zenon_intro zenon_H456. zenon_intro zenon_H658. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H658). zenon_intro zenon_H31. zenon_intro zenon_H659. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H659). zenon_intro zenon_H4cd. zenon_intro zenon_H65a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H65a). zenon_intro zenon_H428. zenon_intro zenon_H65b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H65b). zenon_intro zenon_H78. zenon_intro zenon_H65c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H65c). zenon_intro zenon_Hd0. zenon_intro zenon_H65d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H65d). zenon_intro zenon_Ha7. zenon_intro zenon_H65e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H65e). zenon_intro zenon_Had. zenon_intro zenon_H65f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H65f). zenon_intro zenon_H3b9. zenon_intro zenon_H660. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H660). zenon_intro zenon_Hda. zenon_intro zenon_H661. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H661). zenon_intro zenon_H434. zenon_intro zenon_H662. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H662). zenon_intro zenon_H664. zenon_intro zenon_H663. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H663). zenon_intro zenon_H666. zenon_intro zenon_H665. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H665). zenon_intro zenon_H668. zenon_intro zenon_H667. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H667). zenon_intro zenon_H66a. zenon_intro zenon_H669. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H669). zenon_intro zenon_H66c. zenon_intro zenon_H66b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H66b). zenon_intro zenon_H66e. zenon_intro zenon_H66d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H66d). zenon_intro zenon_H670. zenon_intro zenon_H66f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H66f). zenon_intro zenon_H672. zenon_intro zenon_H671. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H671). zenon_intro zenon_H674. zenon_intro zenon_H673. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H673). zenon_intro zenon_H676. zenon_intro zenon_H675. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H675). zenon_intro zenon_H442. zenon_intro zenon_H677. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H677). zenon_intro zenon_H679. zenon_intro zenon_H678. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H678). zenon_intro zenon_H454. zenon_intro zenon_H67a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H67a). zenon_intro zenon_H438. zenon_intro zenon_H67b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H67b). zenon_intro zenon_H448. zenon_intro zenon_H67c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H67c). zenon_intro zenon_H48. zenon_intro zenon_H67d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H67d). zenon_intro zenon_H44. zenon_intro zenon_H67e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H67e). zenon_intro zenon_H64. zenon_intro zenon_H67f. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H67f). zenon_intro zenon_H59. zenon_intro zenon_H680. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H680). zenon_intro zenon_H4d. zenon_intro zenon_H39. % 40.39/40.55 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H201. zenon_intro zenon_H681. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H681). zenon_intro zenon_H683. zenon_intro zenon_H682. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H682). zenon_intro zenon_H1ff. zenon_intro zenon_H684. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H684). zenon_intro zenon_H29c. zenon_intro zenon_H685. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H685). zenon_intro zenon_H1e7. zenon_intro zenon_H214. % 40.39/40.55 apply (zenon_and_s _ _ ax8). zenon_intro zenon_Hb4. zenon_intro zenon_H686. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H686). zenon_intro zenon_H423. zenon_intro zenon_H687. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H687). zenon_intro zenon_Ha5. zenon_intro zenon_H688. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H688). zenon_intro zenon_H3a7. zenon_intro zenon_H689. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H689). zenon_intro zenon_H128. zenon_intro zenon_H3ee. % 40.39/40.55 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H35f. zenon_intro zenon_H223. % 40.39/40.55 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H68a. zenon_intro zenon_H111. % 40.39/40.55 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H1a8. zenon_intro zenon_H68b. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H68b). zenon_intro zenon_H193. zenon_intro zenon_H156. % 40.39/40.55 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H3a. zenon_intro zenon_H68c. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H68c). zenon_intro zenon_H42. zenon_intro zenon_H37. % 40.39/40.55 apply (zenon_and_s _ _ ax14). zenon_intro zenon_H24b. zenon_intro zenon_H68d. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H68d). zenon_intro zenon_H246. zenon_intro zenon_H68e. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H68e). zenon_intro zenon_H4a5. zenon_intro zenon_H4c0. % 40.39/40.55 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H690. zenon_intro zenon_H68f. % 40.39/40.55 apply (zenon_notand_s _ _ zenon_H690); [ zenon_intro zenon_H692 | zenon_intro zenon_H691 ]. % 40.39/40.55 cut (((h1 (e13)) = (op2 (e20) (e20))) = ((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H692. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H4c0. % 40.39/40.55 cut (((op2 (e20) (e20)) = (op2 (h1 (e10)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H693]. % 40.39/40.55 cut (((h1 (e13)) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H694]. % 40.39/40.55 congruence. % 40.39/40.55 elim (classic ((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [ zenon_intro zenon_H695 | zenon_intro zenon_H696 ]. % 40.39/40.55 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10)))) = ((h1 (e13)) = (h1 (op1 (e10) (e10))))). % 40.39/40.55 intro zenon_D_pnotp. % 40.39/40.55 apply zenon_H694. % 40.39/40.55 rewrite <- zenon_D_pnotp. % 40.39/40.55 exact zenon_H695. % 40.39/40.55 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H696]. % 40.39/40.55 cut (((h1 (op1 (e10) (e10))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H697]. % 40.39/40.55 congruence. % 40.39/40.55 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 40.39/40.55 congruence. % 40.39/40.55 apply zenon_H191. apply sym_equal. exact zenon_H156. % 40.39/40.55 apply zenon_H696. apply refl_equal. % 40.39/40.55 apply zenon_H696. apply refl_equal. % 40.39/40.55 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H698]. % 40.39/40.55 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H698]. % 40.39/40.55 congruence. % 40.39/40.55 apply zenon_H698. apply sym_equal. exact zenon_H24b. % 40.39/40.55 apply zenon_H698. apply sym_equal. exact zenon_H24b. % 40.39/40.55 apply (zenon_notand_s _ _ zenon_H691); [ zenon_intro zenon_H249 | zenon_intro zenon_H699 ]. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.55 apply (zenon_L1_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.55 apply (zenon_L2_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.55 apply (zenon_L3_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.55 apply (zenon_L4_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.55 apply (zenon_L5_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.55 apply (zenon_L6_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.55 apply (zenon_L52_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.55 apply (zenon_L59_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.55 apply (zenon_L60_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.55 apply (zenon_L241_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.55 apply (zenon_L242_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.55 apply (zenon_L244_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.55 apply (zenon_L245_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.55 apply (zenon_L246_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.55 apply (zenon_L247_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.55 apply (zenon_L248_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.55 apply (zenon_L249_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.55 apply (zenon_L250_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.55 apply (zenon_L258_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.55 apply (zenon_L259_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.55 apply (zenon_L260_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.55 apply (zenon_L261_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.55 apply (zenon_L262_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.55 apply (zenon_L263_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.55 apply (zenon_L264_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.55 apply (zenon_L265_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.55 apply (zenon_L266_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.55 apply (zenon_L267_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.55 apply (zenon_L268_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.55 apply (zenon_L269_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.55 apply (zenon_L270_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.55 apply (zenon_L271_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.55 apply (zenon_L272_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.55 apply (zenon_L273_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.55 apply (zenon_L274_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.55 apply (zenon_L275_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.55 apply (zenon_L276_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.55 apply (zenon_L277_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.55 apply (zenon_L278_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.55 apply (zenon_L306_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.55 apply (zenon_L307_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.55 apply (zenon_L308_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.55 apply (zenon_L309_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.55 apply (zenon_L310_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.55 apply (zenon_L312_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.55 apply (zenon_L314_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.55 apply (zenon_L315_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.55 apply (zenon_L316_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.55 apply (zenon_L317_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.55 apply (zenon_L318_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.55 apply (zenon_L319_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.55 apply (zenon_L320_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.55 apply (zenon_L321_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.55 apply (zenon_L322_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.55 apply (zenon_L323_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.55 apply (zenon_L324_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.55 apply (zenon_L325_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.55 apply (zenon_L328_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.55 apply (zenon_L329_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.55 apply (zenon_L330_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.55 apply (zenon_L331_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.55 apply (zenon_L332_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.55 apply (zenon_L333_); trivial. % 40.39/40.55 apply (zenon_L334_); trivial. % 40.39/40.55 apply (zenon_notand_s _ _ zenon_H699); [ zenon_intro zenon_H4a8 | zenon_intro zenon_H6d8 ]. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.55 apply (zenon_L1_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.55 apply (zenon_L2_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.55 apply (zenon_L3_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.55 apply (zenon_L4_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.55 apply (zenon_L5_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.55 apply (zenon_L6_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.55 apply (zenon_L52_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.55 apply (zenon_L59_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.55 apply (zenon_L60_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.39/40.55 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.55 apply (zenon_L21_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.55 apply (zenon_L15_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.55 apply (zenon_L10_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.55 apply (zenon_L26_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.55 apply (zenon_L335_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.55 apply (zenon_L345_); trivial. % 40.39/40.55 apply (zenon_L56_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.39/40.55 apply (zenon_L236_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.39/40.55 apply (zenon_L237_); trivial. % 40.39/40.55 apply (zenon_L240_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.55 apply (zenon_L242_); trivial. % 40.39/40.55 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L314_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L346_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6d8); [ zenon_intro zenon_H4c2 | zenon_intro zenon_H6d9 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L353_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L314_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L354_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6d9); [ zenon_intro zenon_H4d3 | zenon_intro zenon_H6da ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L359_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L314_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L360_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6da); [ zenon_intro zenon_H4de | zenon_intro zenon_H6db ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L363_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L314_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L364_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6db); [ zenon_intro zenon_H4e9 | zenon_intro zenon_H6dc ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L335_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L373_); trivial. % 40.39/40.56 apply (zenon_L57_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L314_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L374_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6dc); [ zenon_intro zenon_H517 | zenon_intro zenon_H6dd ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L387_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L388_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L389_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6dd); [ zenon_intro zenon_H52a | zenon_intro zenon_H6de ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L400_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L419_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L433_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6de); [ zenon_intro zenon_H53f | zenon_intro zenon_H6df ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L442_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L443_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L444_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6df); [ zenon_intro zenon_H553 | zenon_intro zenon_H6e0 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_L451_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L455_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L456_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6e0); [ zenon_intro zenon_H566 | zenon_intro zenon_H6e1 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_Hfa. zenon_intro zenon_H3c9. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_Hd8. zenon_intro zenon_He8. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H119. zenon_intro zenon_H118. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.39/40.56 apply (zenon_L61_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.39/40.56 apply (zenon_L62_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.39/40.56 apply (zenon_L63_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.39/40.56 apply (zenon_L64_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.39/40.56 apply (zenon_L65_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.39/40.56 apply (zenon_L66_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.39/40.56 apply (zenon_L109_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.39/40.56 apply (zenon_L113_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.39/40.56 apply (zenon_L114_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L335_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L463_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.39/40.56 apply (zenon_L145_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.39/40.56 apply (zenon_L147_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.39/40.56 apply (zenon_L148_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.39/40.56 apply (zenon_L149_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.39/40.56 apply (zenon_L150_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.39/40.56 apply (zenon_L151_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.39/40.56 apply (zenon_L152_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.39/40.56 apply (zenon_L153_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.39/40.56 apply (zenon_L165_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.39/40.56 apply (zenon_L166_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.39/40.56 apply (zenon_L167_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.39/40.56 apply (zenon_L168_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.39/40.56 apply (zenon_L169_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.39/40.56 apply (zenon_L170_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.39/40.56 apply (zenon_L171_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.39/40.56 apply (zenon_L172_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.39/40.56 apply (zenon_L173_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.39/40.56 apply (zenon_L174_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.39/40.56 apply (zenon_L175_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.39/40.56 apply (zenon_L176_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.39/40.56 apply (zenon_L177_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.39/40.56 apply (zenon_L178_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.39/40.56 apply (zenon_L179_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.39/40.56 apply (zenon_L180_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.39/40.56 apply (zenon_L181_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.39/40.56 apply (zenon_L182_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.39/40.56 apply (zenon_L183_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.39/40.56 apply (zenon_L184_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.39/40.56 apply (zenon_L185_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.39/40.56 apply (zenon_L194_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.39/40.56 apply (zenon_L195_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.39/40.56 apply (zenon_L196_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.39/40.56 apply (zenon_L197_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.39/40.56 apply (zenon_L198_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.39/40.56 apply (zenon_L200_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L335_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L464_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.39/40.56 apply (zenon_L205_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.39/40.56 apply (zenon_L206_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.39/40.56 apply (zenon_L207_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.39/40.56 apply (zenon_L208_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.39/40.56 apply (zenon_L209_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.39/40.56 apply (zenon_L210_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.39/40.56 apply (zenon_L211_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.39/40.56 apply (zenon_L212_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.39/40.56 apply (zenon_L213_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.39/40.56 apply (zenon_L214_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.39/40.56 apply (zenon_L215_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b0. zenon_intro zenon_H2f0. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H159. zenon_intro zenon_H16c. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L335_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L467_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.39/40.56 apply (zenon_L216_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.39/40.56 apply (zenon_L128_); trivial. % 40.39/40.56 apply (zenon_L158_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.39/40.56 apply (zenon_L217_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.39/40.56 apply (zenon_L218_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.39/40.56 apply (zenon_L219_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.39/40.56 apply (zenon_L220_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.39/40.56 apply (zenon_L221_); trivial. % 40.39/40.56 apply (zenon_L222_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.39/40.56 apply (zenon_L236_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.39/40.56 apply (zenon_L237_); trivial. % 40.39/40.56 apply (zenon_L240_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_L258_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L306_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L472_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L473_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6e1); [ zenon_intro zenon_H6e3 | zenon_intro zenon_H6e2 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H213 | zenon_intro zenon_H236 ]. % 40.39/40.56 apply (zenon_L106_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H194 | zenon_intro zenon_H237 ]. % 40.39/40.56 apply (zenon_L76_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H19a | zenon_intro zenon_H1d4 ]. % 40.39/40.56 apply (zenon_L77_); trivial. % 40.39/40.56 cut (((h1 (e12)) = (op2 (op2 (e20) (e20)) (e20))) = ((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))). % 40.39/40.56 intro zenon_D_pnotp. % 40.39/40.56 apply zenon_H6e3. % 40.39/40.56 rewrite <- zenon_D_pnotp. % 40.39/40.56 exact zenon_H4a5. % 40.39/40.56 cut (((op2 (op2 (e20) (e20)) (e20)) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6e4]. % 40.39/40.56 cut (((h1 (e12)) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6e5]. % 40.39/40.56 congruence. % 40.39/40.56 elim (classic ((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [ zenon_intro zenon_H6e6 | zenon_intro zenon_H6e7 ]. % 40.39/40.56 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10)))) = ((h1 (e12)) = (h1 (op1 (e13) (e10))))). % 40.39/40.56 intro zenon_D_pnotp. % 40.39/40.56 apply zenon_H6e5. % 40.39/40.56 rewrite <- zenon_D_pnotp. % 40.39/40.56 exact zenon_H6e6. % 40.39/40.56 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6e7]. % 40.39/40.56 cut (((h1 (op1 (e13) (e10))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6e8]. % 40.39/40.56 congruence. % 40.39/40.56 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H6e9]. % 40.39/40.56 congruence. % 40.39/40.56 exact (zenon_H6e9 zenon_H1d4). % 40.39/40.56 apply zenon_H6e7. apply refl_equal. % 40.39/40.56 apply zenon_H6e7. apply refl_equal. % 40.39/40.56 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H698]. % 40.39/40.56 cut (((op2 (e20) (e20)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H58f]. % 40.39/40.56 congruence. % 40.39/40.56 apply zenon_H58f. apply sym_equal. exact zenon_H4c0. % 40.39/40.56 apply zenon_H698. apply sym_equal. exact zenon_H24b. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6e2); [ zenon_intro zenon_H575 | zenon_intro zenon_H6ea ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.39/40.56 apply (zenon_L503_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H3a3. zenon_intro zenon_H3f5. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3e8. zenon_intro zenon_H1c. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H3ed. zenon_intro zenon_Ha1. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.39/40.56 apply (zenon_L61_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.39/40.56 apply (zenon_L62_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.39/40.56 apply (zenon_L63_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.39/40.56 apply (zenon_L64_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.39/40.56 apply (zenon_L65_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.39/40.56 apply (zenon_L66_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L504_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L484_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.39/40.56 apply (zenon_L114_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H1b9. zenon_intro zenon_H36b. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H216. zenon_intro zenon_H2f0. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H20c. zenon_intro zenon_H212. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H16a | zenon_intro zenon_H227 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L505_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H17d | zenon_intro zenon_H228 ]. % 40.39/40.56 apply (zenon_L127_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H229 | zenon_intro zenon_H218 ]. % 40.39/40.56 apply (zenon_L128_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L507_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.39/40.56 apply (zenon_L145_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.39/40.56 apply (zenon_L147_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.39/40.56 apply (zenon_L148_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.39/40.56 apply (zenon_L149_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.39/40.56 apply (zenon_L150_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.39/40.56 apply (zenon_L151_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.39/40.56 apply (zenon_L152_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.39/40.56 apply (zenon_L153_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L495_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.39/40.56 apply (zenon_L166_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.39/40.56 apply (zenon_L167_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.39/40.56 apply (zenon_L168_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.39/40.56 apply (zenon_L169_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.39/40.56 apply (zenon_L170_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.39/40.56 apply (zenon_L171_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.39/40.56 apply (zenon_L172_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.39/40.56 apply (zenon_L173_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.39/40.56 apply (zenon_L174_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.39/40.56 apply (zenon_L175_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.39/40.56 apply (zenon_L176_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.39/40.56 apply (zenon_L177_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.39/40.56 apply (zenon_L178_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.39/40.56 apply (zenon_L179_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.39/40.56 apply (zenon_L180_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.39/40.56 apply (zenon_L181_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.39/40.56 apply (zenon_L182_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.39/40.56 apply (zenon_L183_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.39/40.56 apply (zenon_L184_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.39/40.56 apply (zenon_L185_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L496_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.39/40.56 apply (zenon_L195_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.39/40.56 apply (zenon_L196_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.39/40.56 apply (zenon_L197_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.39/40.56 apply (zenon_L198_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.39/40.56 apply (zenon_L200_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L253_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L508_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.39/40.56 apply (zenon_L205_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.39/40.56 apply (zenon_L206_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.39/40.56 apply (zenon_L207_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.39/40.56 apply (zenon_L208_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.39/40.56 apply (zenon_L209_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.39/40.56 apply (zenon_L210_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.39/40.56 apply (zenon_L211_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.39/40.56 apply (zenon_L212_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.39/40.56 apply (zenon_L213_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.39/40.56 apply (zenon_L214_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.39/40.56 apply (zenon_L215_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H1c1. zenon_intro zenon_H39d. % 40.39/40.56 apply (zenon_L509_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.39/40.56 apply (zenon_L217_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.39/40.56 apply (zenon_L218_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.39/40.56 apply (zenon_L219_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.39/40.56 apply (zenon_L220_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.39/40.56 apply (zenon_L221_); trivial. % 40.39/40.56 apply (zenon_L222_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H94. zenon_intro zenon_H466. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H95. zenon_intro zenon_H131. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H6a. zenon_intro zenon_H126. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 exact (zenon_H126 zenon_H58). % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L513_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H460. zenon_intro zenon_H3df. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H40e. zenon_intro zenon_Hac. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 40.39/40.56 apply (zenon_L529_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H84 | zenon_intro zenon_H125 ]. % 40.39/40.56 apply (zenon_L411_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_He9 | zenon_intro zenon_H105 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 40.39/40.56 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 40.39/40.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 40.39/40.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 40.39/40.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 40.39/40.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 40.39/40.56 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 40.39/40.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hfa | zenon_intro zenon_Ha3 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He6 ]. % 40.39/40.56 apply (zenon_L562_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hde ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H136 | zenon_intro zenon_H360 ]. % 40.39/40.56 apply (zenon_L61_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H13b | zenon_intro zenon_H361 ]. % 40.39/40.56 apply (zenon_L62_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H13e | zenon_intro zenon_H362 ]. % 40.39/40.56 apply (zenon_L63_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H141 | zenon_intro zenon_H363 ]. % 40.39/40.56 apply (zenon_L64_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H144 | zenon_intro zenon_H364 ]. % 40.39/40.56 apply (zenon_L65_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H14b | zenon_intro zenon_H365 ]. % 40.39/40.56 apply (zenon_L66_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H222 | zenon_intro zenon_H366 ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.56 apply (zenon_L44_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.56 apply (zenon_L563_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.56 exact (zenon_H460 zenon_H441). % 40.39/40.56 apply (zenon_L574_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H23b | zenon_intro zenon_H367 ]. % 40.39/40.56 apply (zenon_L575_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H241 | zenon_intro zenon_H368 ]. % 40.39/40.56 apply (zenon_L114_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H368); [ zenon_intro zenon_H36a | zenon_intro zenon_H369 ]. % 40.39/40.56 apply (zenon_L584_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H369); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H36c ]. % 40.39/40.56 apply (zenon_L145_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H36d ]. % 40.39/40.56 apply (zenon_L147_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H36e ]. % 40.39/40.56 apply (zenon_L148_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36e); [ zenon_intro zenon_H2ba | zenon_intro zenon_H36f ]. % 40.39/40.56 apply (zenon_L149_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H36f); [ zenon_intro zenon_H2bd | zenon_intro zenon_H370 ]. % 40.39/40.56 apply (zenon_L150_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H370); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H371 ]. % 40.39/40.56 apply (zenon_L151_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H371); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H372 ]. % 40.39/40.56 apply (zenon_L152_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H372); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H373 ]. % 40.39/40.56 apply (zenon_L153_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H2df | zenon_intro zenon_H374 ]. % 40.39/40.56 apply (zenon_L585_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H375 ]. % 40.39/40.56 apply (zenon_L166_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H376 ]. % 40.39/40.56 apply (zenon_L167_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H376); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H377 ]. % 40.39/40.56 apply (zenon_L168_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H377); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H378 ]. % 40.39/40.56 apply (zenon_L169_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H2ea | zenon_intro zenon_H379 ]. % 40.39/40.56 apply (zenon_L170_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H2ec | zenon_intro zenon_H37a ]. % 40.39/40.56 apply (zenon_L171_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H2ee | zenon_intro zenon_H37b ]. % 40.39/40.56 apply (zenon_L172_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37b); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H37c ]. % 40.39/40.56 apply (zenon_L173_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37c); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H37d ]. % 40.39/40.56 apply (zenon_L174_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H37e ]. % 40.39/40.56 apply (zenon_L175_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37e); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H37f ]. % 40.39/40.56 apply (zenon_L176_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H380 ]. % 40.39/40.56 apply (zenon_L177_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H2fb | zenon_intro zenon_H381 ]. % 40.39/40.56 apply (zenon_L178_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H2fd | zenon_intro zenon_H382 ]. % 40.39/40.56 apply (zenon_L179_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H382); [ zenon_intro zenon_H2ff | zenon_intro zenon_H383 ]. % 40.39/40.56 apply (zenon_L180_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H383); [ zenon_intro zenon_H301 | zenon_intro zenon_H384 ]. % 40.39/40.56 apply (zenon_L181_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H384); [ zenon_intro zenon_H303 | zenon_intro zenon_H385 ]. % 40.39/40.56 apply (zenon_L182_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H385); [ zenon_intro zenon_H305 | zenon_intro zenon_H386 ]. % 40.39/40.56 apply (zenon_L183_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H307 | zenon_intro zenon_H387 ]. % 40.39/40.56 apply (zenon_L184_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H309 | zenon_intro zenon_H388 ]. % 40.39/40.56 apply (zenon_L185_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H388); [ zenon_intro zenon_H315 | zenon_intro zenon_H389 ]. % 40.39/40.56 apply (zenon_L586_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H389); [ zenon_intro zenon_H31c | zenon_intro zenon_H38a ]. % 40.39/40.56 apply (zenon_L195_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H31e | zenon_intro zenon_H38b ]. % 40.39/40.56 apply (zenon_L196_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38b); [ zenon_intro zenon_H320 | zenon_intro zenon_H38c ]. % 40.39/40.56 apply (zenon_L197_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38c); [ zenon_intro zenon_H322 | zenon_intro zenon_H38d ]. % 40.39/40.56 apply (zenon_L198_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H329 | zenon_intro zenon_H38e ]. % 40.39/40.56 apply (zenon_L200_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38e); [ zenon_intro zenon_H337 | zenon_intro zenon_H38f ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H297. zenon_intro zenon_H339. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1eb. zenon_intro zenon_H2bc. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2da. zenon_intro zenon_H26e. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H459); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H461 ]. % 40.39/40.56 apply (zenon_L44_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H455 | zenon_intro zenon_H462 ]. % 40.39/40.56 apply (zenon_L563_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H462); [ zenon_intro zenon_H441 | zenon_intro zenon_H57 ]. % 40.39/40.56 exact (zenon_H460 zenon_H441). % 40.39/40.56 apply (zenon_L588_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H38f); [ zenon_intro zenon_H33c | zenon_intro zenon_H390 ]. % 40.39/40.56 apply (zenon_L205_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H33f | zenon_intro zenon_H391 ]. % 40.39/40.56 apply (zenon_L206_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H391); [ zenon_intro zenon_H341 | zenon_intro zenon_H392 ]. % 40.39/40.56 apply (zenon_L207_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H392); [ zenon_intro zenon_H343 | zenon_intro zenon_H393 ]. % 40.39/40.56 apply (zenon_L208_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H393); [ zenon_intro zenon_H345 | zenon_intro zenon_H394 ]. % 40.39/40.56 apply (zenon_L209_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H394); [ zenon_intro zenon_H347 | zenon_intro zenon_H395 ]. % 40.39/40.56 apply (zenon_L210_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H349 | zenon_intro zenon_H396 ]. % 40.39/40.56 apply (zenon_L211_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H34b | zenon_intro zenon_H397 ]. % 40.39/40.56 apply (zenon_L212_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H34d | zenon_intro zenon_H398 ]. % 40.39/40.56 apply (zenon_L213_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H34f | zenon_intro zenon_H399 ]. % 40.39/40.56 apply (zenon_L214_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H351 | zenon_intro zenon_H39a ]. % 40.39/40.56 apply (zenon_L215_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H39c | zenon_intro zenon_H39b ]. % 40.39/40.56 apply (zenon_L592_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H353 | zenon_intro zenon_H39e ]. % 40.39/40.56 apply (zenon_L217_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H355 | zenon_intro zenon_H39f ]. % 40.39/40.56 apply (zenon_L218_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H357 | zenon_intro zenon_H3a0 ]. % 40.39/40.56 apply (zenon_L219_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H3a0); [ zenon_intro zenon_H359 | zenon_intro zenon_H3a1 ]. % 40.39/40.56 apply (zenon_L220_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H3a1); [ zenon_intro zenon_H35b | zenon_intro zenon_H35d ]. % 40.39/40.56 apply (zenon_L221_); trivial. % 40.39/40.56 apply (zenon_L222_); trivial. % 40.39/40.56 apply (zenon_L593_); trivial. % 40.39/40.56 apply (zenon_L614_); trivial. % 40.39/40.56 apply (zenon_L418_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L615_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6ea); [ zenon_intro zenon_H583 | zenon_intro zenon_H6eb ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H68a); [ zenon_intro zenon_H12 | zenon_intro zenon_H69a ]. % 40.39/40.56 apply (zenon_L1_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69a); [ zenon_intro zenon_H17 | zenon_intro zenon_H69b ]. % 40.39/40.56 apply (zenon_L2_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69b); [ zenon_intro zenon_H1a | zenon_intro zenon_H69c ]. % 40.39/40.56 apply (zenon_L3_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69c); [ zenon_intro zenon_H1d | zenon_intro zenon_H69d ]. % 40.39/40.56 apply (zenon_L4_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69d); [ zenon_intro zenon_H20 | zenon_intro zenon_H69e ]. % 40.39/40.56 apply (zenon_L5_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69e); [ zenon_intro zenon_H27 | zenon_intro zenon_H69f ]. % 40.39/40.56 apply (zenon_L6_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H69f); [ zenon_intro zenon_H110 | zenon_intro zenon_H6a0 ]. % 40.39/40.56 apply (zenon_L52_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a0); [ zenon_intro zenon_H12f | zenon_intro zenon_H6a1 ]. % 40.39/40.56 apply (zenon_L59_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a1); [ zenon_intro zenon_H132 | zenon_intro zenon_H6a2 ]. % 40.39/40.56 apply (zenon_L60_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a2); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H6a3 ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_Ha3. zenon_intro zenon_H3c8. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H76 ]. % 40.39/40.56 apply (zenon_L21_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H4e | zenon_intro zenon_H77 ]. % 40.39/40.56 apply (zenon_L15_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H6a ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H7e | zenon_intro zenon_H12d ]. % 40.39/40.56 apply (zenon_L26_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H58 | zenon_intro zenon_H12e ]. % 40.39/40.56 apply (zenon_L335_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H57 | zenon_intro zenon_H127 ]. % 40.39/40.56 apply (zenon_L622_); trivial. % 40.39/40.56 apply (zenon_L56_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a3); [ zenon_intro zenon_H3ca | zenon_intro zenon_H6a4 ]. % 40.39/40.56 apply (zenon_L242_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a4); [ zenon_intro zenon_H3d3 | zenon_intro zenon_H6a5 ]. % 40.39/40.56 apply (zenon_L244_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a5); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H6a6 ]. % 40.39/40.56 apply (zenon_L245_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H3dd | zenon_intro zenon_H6a7 ]. % 40.39/40.56 apply (zenon_L246_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a7); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H6a8 ]. % 40.39/40.56 apply (zenon_L247_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a8); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H6a9 ]. % 40.39/40.56 apply (zenon_L248_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6a9); [ zenon_intro zenon_H3e6 | zenon_intro zenon_H6aa ]. % 40.39/40.56 apply (zenon_L249_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6aa); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H6ab ]. % 40.39/40.56 apply (zenon_L250_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ab); [ zenon_intro zenon_H3f4 | zenon_intro zenon_H6ac ]. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H3a3. zenon_intro zenon_H3f5. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3e8. zenon_intro zenon_H1c. % 40.39/40.56 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H3ed. zenon_intro zenon_Ha1. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H32 | zenon_intro zenon_H60 ]. % 40.39/40.56 apply (zenon_L252_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H3b | zenon_intro zenon_H61 ]. % 40.39/40.56 apply (zenon_L10_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H57 ]. % 40.39/40.56 apply (zenon_L13_); trivial. % 40.39/40.56 apply (zenon_L622_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ac); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H6ad ]. % 40.39/40.56 apply (zenon_L259_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ad); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H6ae ]. % 40.39/40.56 apply (zenon_L260_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ae); [ zenon_intro zenon_H3fb | zenon_intro zenon_H6af ]. % 40.39/40.56 apply (zenon_L261_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6af); [ zenon_intro zenon_H3fd | zenon_intro zenon_H6b0 ]. % 40.39/40.56 apply (zenon_L262_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b0); [ zenon_intro zenon_H3ff | zenon_intro zenon_H6b1 ]. % 40.39/40.56 apply (zenon_L263_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H401 | zenon_intro zenon_H6b2 ]. % 40.39/40.56 apply (zenon_L264_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H403 | zenon_intro zenon_H6b3 ]. % 40.39/40.56 apply (zenon_L265_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H405 | zenon_intro zenon_H6b4 ]. % 40.39/40.56 apply (zenon_L266_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H407 | zenon_intro zenon_H6b5 ]. % 40.39/40.56 apply (zenon_L267_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H409 | zenon_intro zenon_H6b6 ]. % 40.39/40.56 apply (zenon_L268_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H40b | zenon_intro zenon_H6b7 ]. % 40.39/40.56 apply (zenon_L269_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H40f | zenon_intro zenon_H6b8 ]. % 40.39/40.56 apply (zenon_L270_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H411 | zenon_intro zenon_H6b9 ]. % 40.39/40.56 apply (zenon_L271_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H413 | zenon_intro zenon_H6ba ]. % 40.39/40.56 apply (zenon_L272_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H415 | zenon_intro zenon_H6bb ]. % 40.39/40.56 apply (zenon_L273_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H417 | zenon_intro zenon_H6bc ]. % 40.39/40.56 apply (zenon_L274_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H419 | zenon_intro zenon_H6bd ]. % 40.39/40.56 apply (zenon_L275_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H41b | zenon_intro zenon_H6be ]. % 40.39/40.56 apply (zenon_L276_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H41d | zenon_intro zenon_H6bf ]. % 40.39/40.56 apply (zenon_L277_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H41f | zenon_intro zenon_H6c0 ]. % 40.39/40.56 apply (zenon_L278_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H463 | zenon_intro zenon_H6c1 ]. % 40.39/40.56 apply (zenon_L624_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H46b | zenon_intro zenon_H6c2 ]. % 40.39/40.56 apply (zenon_L307_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H46d | zenon_intro zenon_H6c3 ]. % 40.39/40.56 apply (zenon_L308_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H46f | zenon_intro zenon_H6c4 ]. % 40.39/40.56 apply (zenon_L309_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H471 | zenon_intro zenon_H6c5 ]. % 40.39/40.56 apply (zenon_L310_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H476 | zenon_intro zenon_H6c6 ]. % 40.39/40.56 apply (zenon_L312_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H47c | zenon_intro zenon_H6c7 ]. % 40.39/40.56 apply (zenon_L625_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H47f | zenon_intro zenon_H6c8 ]. % 40.39/40.56 apply (zenon_L315_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H482 | zenon_intro zenon_H6c9 ]. % 40.39/40.56 apply (zenon_L316_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H484 | zenon_intro zenon_H6ca ]. % 40.39/40.56 apply (zenon_L317_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H486 | zenon_intro zenon_H6cb ]. % 40.39/40.56 apply (zenon_L318_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H488 | zenon_intro zenon_H6cc ]. % 40.39/40.56 apply (zenon_L319_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H48a | zenon_intro zenon_H6cd ]. % 40.39/40.56 apply (zenon_L320_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H48c | zenon_intro zenon_H6ce ]. % 40.39/40.56 apply (zenon_L321_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H48e | zenon_intro zenon_H6cf ]. % 40.39/40.56 apply (zenon_L322_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H490 | zenon_intro zenon_H6d0 ]. % 40.39/40.56 apply (zenon_L323_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H492 | zenon_intro zenon_H6d1 ]. % 40.39/40.56 apply (zenon_L324_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H494 | zenon_intro zenon_H6d2 ]. % 40.39/40.56 apply (zenon_L325_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H496 | zenon_intro zenon_H6d3 ]. % 40.39/40.56 apply (zenon_L626_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H498 | zenon_intro zenon_H6d4 ]. % 40.39/40.56 apply (zenon_L329_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H49a | zenon_intro zenon_H6d5 ]. % 40.39/40.56 apply (zenon_L330_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H49c | zenon_intro zenon_H6d6 ]. % 40.39/40.56 apply (zenon_L331_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H49e | zenon_intro zenon_H6d7 ]. % 40.39/40.56 apply (zenon_L332_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H4a0 | zenon_intro zenon_H4a2 ]. % 40.39/40.56 apply (zenon_L333_); trivial. % 40.39/40.56 apply (zenon_L334_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6eb); [ zenon_intro zenon_H589 | zenon_intro zenon_H6ec ]. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H25e | zenon_intro zenon_H276 ]. % 40.39/40.56 apply (zenon_L120_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H26a | zenon_intro zenon_H277 ]. % 40.39/40.56 apply (zenon_L123_); trivial. % 40.39/40.56 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H270 | zenon_intro zenon_H1ca ]. % 40.39/40.56 apply (zenon_L124_); trivial. % 40.39/40.56 apply (zenon_L627_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6ec); [ zenon_intro zenon_H6ee | zenon_intro zenon_H6ed ]. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6ee). zenon_intro zenon_H258. zenon_intro zenon_H6ef. % 40.39/40.56 exact (zenon_H258 zenon_H24b). % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6ed); [ zenon_intro zenon_H6f1 | zenon_intro zenon_H6f0 ]. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6f1). zenon_intro zenon_H6f3. zenon_intro zenon_H6f2. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6f2). zenon_intro zenon_H245. zenon_intro zenon_H6f4. % 40.39/40.56 apply (zenon_L117_); trivial. % 40.39/40.56 apply (zenon_notand_s _ _ zenon_H6f0); [ zenon_intro zenon_H6f6 | zenon_intro zenon_H6f5 ]. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6f6). zenon_intro zenon_H6f8. zenon_intro zenon_H6f7. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6f7). zenon_intro zenon_H6fa. zenon_intro zenon_H6f9. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6f9). zenon_intro zenon_H4a4. zenon_intro zenon_H6fb. % 40.39/40.56 apply (zenon_L336_); trivial. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6f5). zenon_intro zenon_H6fd. zenon_intro zenon_H6fc. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6fc). zenon_intro zenon_H6ff. zenon_intro zenon_H6fe. % 40.39/40.56 apply (zenon_notor_s _ _ zenon_H6fe). zenon_intro zenon_H700. zenon_intro zenon_H4bf. % 40.39/40.56 apply (zenon_L347_); trivial. % 40.39/40.56 Qed. % 40.39/40.56 % SZS output end Proof % 40.39/40.56 (* END-PROOF *) % 40.39/40.56 nodes searched: 1528795 % 40.39/40.56 max branch formulas: 2281 % 40.39/40.56 proof nodes created: 24282 % 40.39/40.56 formulas created: 869346 % 40.39/40.56 %------------------------------------------------------------------------------