%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 18:29:32 EDT 2022 % Result : Theorem 42.98s 43.18s % Output : Proof 43.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 9 01:21:36 EDT 2022 % 0.12/0.33 % CPUTime : % 42.98/43.18 (* PROOF-FOUND *) % 42.98/43.18 % SZS status Theorem % 42.98/43.18 (* BEGIN-PROOF *) % 42.98/43.18 % SZS output start Proof % 42.98/43.18 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))))))))))))))))))))))))))). % 42.98/43.18 Proof. % 42.98/43.18 assert (zenon_L1_ : (~((e20) = (e20))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H12. % 42.98/43.18 apply zenon_H12. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L1_ *) % 42.98/43.18 assert (zenon_L2_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> False). % 42.98/43.18 do 0 intro. intros zenon_H13 zenon_H14. % 42.98/43.18 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 42.98/43.18 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.18 congruence. % 42.98/43.18 apply zenon_H12. apply refl_equal. % 42.98/43.18 exact (zenon_H15 zenon_H14). % 42.98/43.18 (* end of lemma zenon_L2_ *) % 42.98/43.18 assert (zenon_L3_ : (~((op2 (e20) (op2 (e20) (e20))) = (e20))) -> ((op2 (e20) (e20)) = (e20)) -> False). % 42.98/43.18 do 0 intro. intros zenon_H16 zenon_H14. % 42.98/43.18 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (op2 (e20) (e20))) = (e20))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H16. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H14. % 42.98/43.18 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.18 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 42.98/43.18 congruence. % 42.98/43.18 elim (classic ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (op2 (e20) (e20))))); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ]. % 42.98/43.18 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H17. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H18. % 42.98/43.18 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 42.98/43.18 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13]. % 42.98/43.18 congruence. % 42.98/43.18 apply (zenon_L2_); trivial. % 42.98/43.18 apply zenon_H19. apply refl_equal. % 42.98/43.18 apply zenon_H19. apply refl_equal. % 42.98/43.18 apply zenon_H12. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L3_ *) % 42.98/43.18 assert (zenon_L4_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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)))))))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H1a. % 42.98/43.18 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H14. zenon_intro zenon_H1b. % 42.98/43.18 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H14. zenon_intro zenon_H1c. % 42.98/43.18 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H16. zenon_intro zenon_H1d. % 42.98/43.18 apply (zenon_L3_); trivial. % 42.98/43.18 (* end of lemma zenon_L4_ *) % 42.98/43.18 assert (zenon_L5_ : (~((e10) = (e10))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H1e. % 42.98/43.18 apply zenon_H1e. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L5_ *) % 42.98/43.18 assert (zenon_L6_ : (~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> False). % 42.98/43.18 do 0 intro. intros zenon_H1f zenon_H20. % 42.98/43.18 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 42.98/43.18 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.18 congruence. % 42.98/43.18 apply zenon_H1e. apply refl_equal. % 42.98/43.18 exact (zenon_H21 zenon_H20). % 42.98/43.18 (* end of lemma zenon_L6_ *) % 42.98/43.18 assert (zenon_L7_ : (~((op1 (e10) (op1 (e10) (e10))) = (e10))) -> ((op1 (e10) (e10)) = (e10)) -> False). % 42.98/43.18 do 0 intro. intros zenon_H22 zenon_H20. % 42.98/43.18 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (op1 (e10) (e10))) = (e10))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H22. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H20. % 42.98/43.18 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.18 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H23]. % 42.98/43.18 congruence. % 42.98/43.18 elim (classic ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (op1 (e10) (e10))))); [ zenon_intro zenon_H24 | zenon_intro zenon_H25 ]. % 42.98/43.18 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H23. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H24. % 42.98/43.18 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 42.98/43.18 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 42.98/43.18 congruence. % 42.98/43.18 apply (zenon_L6_); trivial. % 42.98/43.18 apply zenon_H25. apply refl_equal. % 42.98/43.18 apply zenon_H25. apply refl_equal. % 42.98/43.18 apply zenon_H1e. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L7_ *) % 42.98/43.18 assert (zenon_L8_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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)))))))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H26. % 42.98/43.18 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H20. zenon_intro zenon_H27. % 42.98/43.18 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H20. zenon_intro zenon_H28. % 42.98/43.18 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H22. zenon_intro zenon_H29. % 42.98/43.18 apply (zenon_L7_); trivial. % 42.98/43.18 (* end of lemma zenon_L8_ *) % 42.98/43.18 assert (zenon_L9_ : (~((h3 (e10)) = (e20))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H2a zenon_H2b zenon_H2c. % 42.98/43.18 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (e10)) = (e20))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H2a. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H2b. % 42.98/43.18 cut (((op2 (op2 (e22) (e22)) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 42.98/43.18 cut (((h3 (e10)) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 42.98/43.18 congruence. % 42.98/43.18 apply zenon_H2e. apply refl_equal. % 42.98/43.18 apply zenon_H2d. apply sym_equal. exact zenon_H2c. % 42.98/43.18 (* end of lemma zenon_L9_ *) % 42.98/43.18 assert (zenon_L10_ : (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((op1 (e10) (e10)) = (e13)) -> ((op2 (e20) (e20)) = (e23)) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H2f zenon_H30 zenon_H31 zenon_H32 zenon_H33 zenon_H2b zenon_H2c. % 42.98/43.18 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H2f. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H30. % 42.98/43.18 cut (((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 42.98/43.18 cut (((h3 (e13)) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H35]. % 42.98/43.18 congruence. % 42.98/43.18 elim (classic ((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ]. % 42.98/43.18 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10)))) = ((h3 (e13)) = (h3 (op1 (e10) (e10))))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H35. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H36. % 42.98/43.18 cut (((h3 (op1 (e10) (e10))) = (h3 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H37]. % 42.98/43.18 cut (((h3 (op1 (e10) (e10))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38]. % 42.98/43.18 congruence. % 42.98/43.18 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H39]. % 42.98/43.18 congruence. % 42.98/43.18 exact (zenon_H39 zenon_H31). % 42.98/43.18 apply zenon_H37. apply refl_equal. % 42.98/43.18 apply zenon_H37. apply refl_equal. % 42.98/43.18 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e22) (e22)) = (op2 (h3 (e10)) (h3 (e10))))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H34. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H3a. % 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 42.98/43.18 congruence. % 42.98/43.18 cut (((op2 (e20) (e20)) = (e23)) = ((op2 (h3 (e10)) (h3 (e10))) = (op2 (e22) (e22)))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H3c. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H32. % 42.98/43.18 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 42.98/43.18 cut (((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 42.98/43.18 congruence. % 42.98/43.18 elim (classic ((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10)))) = ((op2 (e20) (e20)) = (op2 (h3 (e10)) (h3 (e10))))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H3e. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H3a. % 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (h3 (e10)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 42.98/43.18 cut (((op2 (h3 (e10)) (h3 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 42.98/43.18 congruence. % 42.98/43.18 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 42.98/43.18 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 42.98/43.18 congruence. % 42.98/43.18 apply (zenon_L9_); trivial. % 42.98/43.18 apply (zenon_L9_); trivial. % 42.98/43.18 apply zenon_H3b. apply refl_equal. % 42.98/43.18 apply zenon_H3b. apply refl_equal. % 42.98/43.18 exact (zenon_H3d zenon_H33). % 42.98/43.18 apply zenon_H3b. apply refl_equal. % 42.98/43.18 apply zenon_H3b. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L10_ *) % 42.98/43.18 assert (zenon_L11_ : ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (e13))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H40 zenon_H41 zenon_H42. % 42.98/43.18 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.18 cut (((e13) = (e13)) = ((e10) = (e13))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H42. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H43. % 42.98/43.18 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.18 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 42.98/43.18 congruence. % 42.98/43.18 cut (((op1 (e10) (e11)) = (e10)) = ((e13) = (e10))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H45. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H40. % 42.98/43.18 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.18 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 42.98/43.18 congruence. % 42.98/43.18 exact (zenon_H46 zenon_H41). % 42.98/43.18 apply zenon_H1e. apply refl_equal. % 42.98/43.18 apply zenon_H44. apply refl_equal. % 42.98/43.18 apply zenon_H44. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L11_ *) % 42.98/43.18 assert (zenon_L12_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e10) (e12)) = (e13)) -> False). % 42.98/43.18 do 0 intro. intros zenon_H47 zenon_H48 zenon_H49. % 42.98/43.18 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H47. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H48. % 42.98/43.18 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 42.98/43.18 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 42.98/43.18 congruence. % 42.98/43.18 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ]. % 42.98/43.18 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H4b. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H4c. % 42.98/43.18 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 42.98/43.18 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 42.98/43.18 congruence. % 42.98/43.18 exact (zenon_H4e zenon_H49). % 42.98/43.18 apply zenon_H4d. apply refl_equal. % 42.98/43.18 apply zenon_H4d. apply refl_equal. % 42.98/43.18 apply zenon_H4a. apply refl_equal. % 42.98/43.18 (* end of lemma zenon_L12_ *) % 42.98/43.18 assert (zenon_L13_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False). % 42.98/43.18 do 0 intro. intros zenon_H4f zenon_H50 zenon_H51. % 42.98/43.18 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H4f. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H50. % 42.98/43.18 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 42.98/43.18 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 42.98/43.18 congruence. % 42.98/43.18 apply zenon_H53. apply refl_equal. % 42.98/43.18 apply zenon_H52. apply sym_equal. exact zenon_H51. % 42.98/43.18 (* end of lemma zenon_L13_ *) % 42.98/43.18 assert (zenon_L14_ : (~((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H54 zenon_H48. % 42.98/43.18 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 42.98/43.18 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 42.98/43.18 congruence. % 42.98/43.18 apply zenon_H55. apply sym_equal. exact zenon_H48. % 42.98/43.18 apply zenon_H55. apply sym_equal. exact zenon_H48. % 42.98/43.18 (* end of lemma zenon_L14_ *) % 42.98/43.18 assert (zenon_L15_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.18 do 0 intro. intros zenon_H56 zenon_H57 zenon_H58 zenon_H48. % 42.98/43.18 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H56. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H57. % 42.98/43.18 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 42.98/43.18 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 42.98/43.18 congruence. % 42.98/43.18 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H5a | zenon_intro zenon_H5b ]. % 42.98/43.18 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))). % 42.98/43.18 intro zenon_D_pnotp. % 42.98/43.18 apply zenon_H59. % 42.98/43.18 rewrite <- zenon_D_pnotp. % 42.98/43.18 exact zenon_H5a. % 42.98/43.18 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 42.98/43.18 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 42.98/43.18 congruence. % 42.98/43.18 exact (zenon_H5c zenon_H58). % 42.98/43.19 apply zenon_H5b. apply refl_equal. % 42.98/43.19 apply zenon_H5b. apply refl_equal. % 42.98/43.19 apply (zenon_L14_); trivial. % 42.98/43.19 (* end of lemma zenon_L15_ *) % 42.98/43.19 assert (zenon_L16_ : (~((e12) = (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H5d. % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L16_ *) % 42.98/43.19 assert (zenon_L17_ : (~((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H5e zenon_H48. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H55. apply sym_equal. exact zenon_H48. % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L17_ *) % 42.98/43.19 assert (zenon_L18_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e11) (e12)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H5f zenon_H60 zenon_H61 zenon_H48. % 42.98/43.19 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H5f. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H60. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 42.98/43.19 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ]. % 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e10) = (op1 (e11) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H62. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H63. % 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 42.98/43.19 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H65 zenon_H61). % 42.98/43.19 apply zenon_H64. apply refl_equal. % 42.98/43.19 apply zenon_H64. apply refl_equal. % 42.98/43.19 apply (zenon_L17_); trivial. % 42.98/43.19 (* end of lemma zenon_L18_ *) % 42.98/43.19 assert (zenon_L19_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H66 zenon_H67 zenon_H68. % 42.98/43.19 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H66. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H67. % 42.98/43.19 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H64. apply refl_equal. % 42.98/43.19 apply zenon_H69. apply sym_equal. exact zenon_H68. % 42.98/43.19 (* end of lemma zenon_L19_ *) % 42.98/43.19 assert (zenon_L20_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e11) (e12)) = (e13)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H6a zenon_H48 zenon_H6b. % 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H6a. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H48. % 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 42.98/43.19 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ]. % 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H6c. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H63. % 42.98/43.19 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 42.98/43.19 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H6d zenon_H6b). % 42.98/43.19 apply zenon_H64. apply refl_equal. % 42.98/43.19 apply zenon_H64. apply refl_equal. % 42.98/43.19 apply zenon_H4a. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L20_ *) % 42.98/43.19 assert (zenon_L21_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H68 zenon_H66 zenon_H6a zenon_H48. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H61 | zenon_intro zenon_H70 ]. % 42.98/43.19 apply (zenon_L18_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 42.98/43.19 exact (zenon_H6f zenon_H72). % 42.98/43.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H67 | zenon_intro zenon_H6b ]. % 42.98/43.19 apply (zenon_L19_); trivial. % 42.98/43.19 apply (zenon_L20_); trivial. % 42.98/43.19 (* end of lemma zenon_L21_ *) % 42.98/43.19 assert (zenon_L22_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H73 zenon_H74 zenon_H75. % 42.98/43.19 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H73. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H74. % 42.98/43.19 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H77. apply refl_equal. % 42.98/43.19 apply zenon_H76. apply sym_equal. exact zenon_H75. % 42.98/43.19 (* end of lemma zenon_L22_ *) % 42.98/43.19 assert (zenon_L23_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H78 zenon_H50 zenon_H4f zenon_H57 zenon_H56 zenon_H48 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H73 zenon_H74. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H51 | zenon_intro zenon_H79 ]. % 42.98/43.19 apply (zenon_L13_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H58 | zenon_intro zenon_H7a ]. % 42.98/43.19 apply (zenon_L15_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H68 | zenon_intro zenon_H75 ]. % 42.98/43.19 apply (zenon_L21_); trivial. % 42.98/43.19 apply (zenon_L22_); trivial. % 42.98/43.19 (* end of lemma zenon_L23_ *) % 42.98/43.19 assert (zenon_L24_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H7b zenon_H2c zenon_H2b zenon_H33 zenon_H32 zenon_H30 zenon_H2f zenon_H42 zenon_H40 zenon_H47 zenon_H78 zenon_H50 zenon_H4f zenon_H57 zenon_H56 zenon_H48 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H73. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H31 | zenon_intro zenon_H7c ]. % 42.98/43.19 apply (zenon_L10_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H41 | zenon_intro zenon_H7d ]. % 42.98/43.19 apply (zenon_L11_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H49 | zenon_intro zenon_H74 ]. % 42.98/43.19 apply (zenon_L12_); trivial. % 42.98/43.19 apply (zenon_L23_); trivial. % 42.98/43.19 (* end of lemma zenon_L24_ *) % 42.98/43.19 assert (zenon_L25_ : ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e20) = (e23))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H7e zenon_H7f zenon_H80. % 42.98/43.19 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.19 cut (((e23) = (e23)) = ((e20) = (e23))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H80. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H81. % 42.98/43.19 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.19 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op2 (e20) (e21)) = (e20)) = ((e23) = (e20))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H83. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H7e. % 42.98/43.19 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.19 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H84 zenon_H7f). % 42.98/43.19 apply zenon_H12. apply refl_equal. % 42.98/43.19 apply zenon_H82. apply refl_equal. % 42.98/43.19 apply zenon_H82. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L25_ *) % 42.98/43.19 assert (zenon_L26_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e23)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H85 zenon_H33 zenon_H86. % 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H85. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H33. % 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 42.98/43.19 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ]. % 42.98/43.19 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H88. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H89. % 42.98/43.19 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.19 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H8b zenon_H86). % 42.98/43.19 apply zenon_H8a. apply refl_equal. % 42.98/43.19 apply zenon_H8a. apply refl_equal. % 42.98/43.19 apply zenon_H87. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L26_ *) % 42.98/43.19 assert (zenon_L27_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e20) (e20)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H33 zenon_H32 zenon_H8c. % 42.98/43.19 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H8d | zenon_intro zenon_H8e ]. % 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e22) (e22)) = (op2 (e20) (e20)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H8c. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H8d. % 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e20) (e20)) = (op2 (e22) (e22)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H8f. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H33. % 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 42.98/43.19 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H8d | zenon_intro zenon_H8e ]. % 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H90. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H8d. % 42.98/43.19 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 42.98/43.19 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H91 zenon_H32). % 42.98/43.19 apply zenon_H8e. apply refl_equal. % 42.98/43.19 apply zenon_H8e. apply refl_equal. % 42.98/43.19 apply zenon_H87. apply refl_equal. % 42.98/43.19 apply zenon_H8e. apply refl_equal. % 42.98/43.19 apply zenon_H8e. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L27_ *) % 42.98/43.19 assert (zenon_L28_ : ((op2 (e20) (e23)) = (e23)) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H92 zenon_H33 zenon_H32 zenon_H93. % 42.98/43.19 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H93. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H94. % 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H96. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H33. % 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 42.98/43.19 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H97. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H94. % 42.98/43.19 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.19 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H98]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H98 zenon_H92). % 42.98/43.19 apply zenon_H95. apply refl_equal. % 42.98/43.19 apply zenon_H95. apply refl_equal. % 42.98/43.19 apply (zenon_L27_); trivial. % 42.98/43.19 apply zenon_H95. apply refl_equal. % 42.98/43.19 apply zenon_H95. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L28_ *) % 42.98/43.19 assert (zenon_L29_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e23))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H99 zenon_H9a zenon_H80. % 42.98/43.19 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.19 cut (((e23) = (e23)) = ((e20) = (e23))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H80. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H81. % 42.98/43.19 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.19 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op2 (e21) (e20)) = (e20)) = ((e23) = (e20))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H83. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H99. % 42.98/43.19 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.19 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H9b zenon_H9a). % 42.98/43.19 apply zenon_H12. apply refl_equal. % 42.98/43.19 apply zenon_H82. apply refl_equal. % 42.98/43.19 apply zenon_H82. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L29_ *) % 42.98/43.19 assert (zenon_L30_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e20)) = (e23)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H9c zenon_H33 zenon_H9d. % 42.98/43.19 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H9c. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H33. % 42.98/43.19 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 42.98/43.19 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H9e]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ]. % 42.98/43.19 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H9e. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H9f. % 42.98/43.19 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha0]. % 42.98/43.19 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_Ha1 zenon_H9d). % 42.98/43.19 apply zenon_Ha0. apply refl_equal. % 42.98/43.19 apply zenon_Ha0. apply refl_equal. % 42.98/43.19 apply zenon_H87. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L30_ *) % 42.98/43.19 assert (zenon_L31_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Ha2 zenon_H93 zenon_H92 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H32 | zenon_intro zenon_Ha4 ]. % 42.98/43.19 apply (zenon_L28_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha5 ]. % 42.98/43.19 apply (zenon_L29_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H9d | zenon_intro zenon_Ha6 ]. % 42.98/43.19 apply (zenon_L30_); trivial. % 42.98/43.19 exact (zenon_Ha3 zenon_Ha6). % 42.98/43.19 (* end of lemma zenon_L31_ *) % 42.98/43.19 assert (zenon_L32_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Ha7 zenon_Ha8 zenon_H73 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H78 zenon_H47 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ]. % 42.98/43.19 apply (zenon_L24_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ]. % 42.98/43.19 apply (zenon_L25_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ]. % 42.98/43.19 apply (zenon_L26_); trivial. % 42.98/43.19 apply (zenon_L31_); trivial. % 42.98/43.19 (* end of lemma zenon_L32_ *) % 42.98/43.19 assert (zenon_L33_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e10) (e12)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hac zenon_H60 zenon_Had zenon_H48. % 42.98/43.19 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hac. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H60. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 42.98/43.19 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ]. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e10) = (op1 (e10) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hae. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H4c. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 42.98/43.19 cut (((op1 (e10) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_Haf zenon_Had). % 42.98/43.19 apply zenon_H4d. apply refl_equal. % 42.98/43.19 apply zenon_H4d. apply refl_equal. % 42.98/43.19 apply (zenon_L17_); trivial. % 42.98/43.19 (* end of lemma zenon_L33_ *) % 42.98/43.19 assert (zenon_L34_ : (((op1 (e10) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hb0 zenon_Hac zenon_H60 zenon_H48. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Had. zenon_intro zenon_Hb1. % 42.98/43.19 apply (zenon_L33_); trivial. % 42.98/43.19 (* end of lemma zenon_L34_ *) % 42.98/43.19 assert (zenon_L35_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e10)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hb2 zenon_H60 zenon_Hb3 zenon_H48. % 42.98/43.19 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hb2. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H60. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 42.98/43.19 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ]. % 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hb4. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hb5. % 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 42.98/43.19 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hb7]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_Hb7 zenon_Hb3). % 42.98/43.19 apply zenon_Hb6. apply refl_equal. % 42.98/43.19 apply zenon_Hb6. apply refl_equal. % 42.98/43.19 apply (zenon_L17_); trivial. % 42.98/43.19 (* end of lemma zenon_L35_ *) % 42.98/43.19 assert (zenon_L36_ : (((op1 (e10) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hb8 zenon_Hb2 zenon_H60 zenon_H48. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Hba. zenon_intro zenon_Hb9. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Hb3. zenon_intro zenon_H28. % 42.98/43.19 apply (zenon_L35_); trivial. % 42.98/43.19 (* end of lemma zenon_L36_ *) % 42.98/43.19 assert (zenon_L37_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hbb zenon_Hbc zenon_Hbd. % 42.98/43.19 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ]. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hbd. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H4c. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hbe. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hbb. % 42.98/43.19 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H4d. apply refl_equal. % 42.98/43.19 apply zenon_Hbf. apply sym_equal. exact zenon_Hbc. % 42.98/43.19 apply zenon_H4d. apply refl_equal. % 42.98/43.19 apply zenon_H4d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L37_ *) % 42.98/43.19 assert (zenon_L38_ : (~((e13) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H44. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L38_ *) % 42.98/43.19 assert (zenon_L39_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e12)) = (e11)) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H48 zenon_Hc0 zenon_Hc1. % 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.19 cut (((e13) = (e13)) = ((e11) = (e13))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hc1. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H43. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (e11))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hc2. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H48. % 42.98/43.19 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 exact (zenon_Hc3 zenon_Hc0). % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L39_ *) % 42.98/43.19 assert (zenon_L40_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hc4 zenon_H57 zenon_Hc5 zenon_H48. % 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hc4. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H57. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 42.98/43.19 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ]. % 42.98/43.19 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hc6. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hc7. % 42.98/43.19 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc8]. % 42.98/43.19 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_Hc9 zenon_Hc5). % 42.98/43.19 apply zenon_Hc8. apply refl_equal. % 42.98/43.19 apply zenon_Hc8. apply refl_equal. % 42.98/43.19 apply (zenon_L14_); trivial. % 42.98/43.19 (* end of lemma zenon_L40_ *) % 42.98/43.19 assert (zenon_L41_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hca zenon_Hbd zenon_Hbc zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ]. % 42.98/43.19 apply (zenon_L37_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ]. % 42.98/43.19 exact (zenon_H6f zenon_H72). % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ]. % 42.98/43.19 apply (zenon_L39_); trivial. % 42.98/43.19 apply (zenon_L40_); trivial. % 42.98/43.19 (* end of lemma zenon_L41_ *) % 42.98/43.19 assert (zenon_L42_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hcd zenon_Hca zenon_Hbd zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hbc. zenon_intro zenon_Hd0. % 42.98/43.19 apply (zenon_L41_); trivial. % 42.98/43.19 (* end of lemma zenon_L42_ *) % 42.98/43.19 assert (zenon_L43_ : (~((e11) = (e11))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hd1. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L43_ *) % 42.98/43.19 assert (zenon_L44_ : (~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hd2 zenon_Hd3. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 exact (zenon_Hd4 zenon_Hd3). % 42.98/43.19 (* end of lemma zenon_L44_ *) % 42.98/43.19 assert (zenon_L45_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hd5. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd3. zenon_intro zenon_Hd6. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd3. zenon_intro zenon_Hd0. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (op1 (e11) (e11))) = (e11))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hda. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hd3. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ]. % 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hdb. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hdc. % 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 42.98/43.19 congruence. % 42.98/43.19 apply (zenon_L44_); trivial. % 42.98/43.19 apply zenon_Hdd. apply refl_equal. % 42.98/43.19 apply zenon_Hdd. apply refl_equal. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L45_ *) % 42.98/43.19 assert (zenon_L46_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hde zenon_H6f. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H72. zenon_intro zenon_Hdf. % 42.98/43.19 exact (zenon_H6f zenon_H72). % 42.98/43.19 (* end of lemma zenon_L46_ *) % 42.98/43.19 assert (zenon_L47_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_He0 zenon_H57 zenon_He1 zenon_H48. % 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_He0. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H57. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 42.98/43.19 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 42.98/43.19 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e11) = (op1 (e13) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_He2. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_He3. % 42.98/43.19 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 42.98/43.19 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_He5 zenon_He1). % 42.98/43.19 apply zenon_He4. apply refl_equal. % 42.98/43.19 apply zenon_He4. apply refl_equal. % 42.98/43.19 apply (zenon_L14_); trivial. % 42.98/43.19 (* end of lemma zenon_L47_ *) % 42.98/43.19 assert (zenon_L48_ : (((op1 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_He6 zenon_He0 zenon_H57 zenon_H48. % 42.98/43.19 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_H58. zenon_intro zenon_He7. % 42.98/43.19 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_He1. zenon_intro zenon_Hd0. % 42.98/43.19 apply (zenon_L47_); trivial. % 42.98/43.19 (* end of lemma zenon_L48_ *) % 42.98/43.19 assert (zenon_L49_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> False). % 42.98/43.19 do 0 intro. intros zenon_He8 zenon_He9 zenon_H67. % 42.98/43.19 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_He8. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_He9. % 42.98/43.19 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hea]. % 42.98/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H4d. apply refl_equal. % 42.98/43.19 apply zenon_Hea. apply sym_equal. exact zenon_H67. % 42.98/43.19 (* end of lemma zenon_L49_ *) % 42.98/43.19 assert (zenon_L50_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_He9 zenon_He8 zenon_H6a zenon_H48. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H61 | zenon_intro zenon_H70 ]. % 42.98/43.19 apply (zenon_L18_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 42.98/43.19 exact (zenon_H6f zenon_H72). % 42.98/43.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H67 | zenon_intro zenon_H6b ]. % 42.98/43.19 apply (zenon_L49_); trivial. % 42.98/43.19 apply (zenon_L20_); trivial. % 42.98/43.19 (* end of lemma zenon_L50_ *) % 42.98/43.19 assert (zenon_L51_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Heb zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_He8 zenon_H6a zenon_H48. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He9. zenon_intro zenon_Hee. % 42.98/43.19 apply (zenon_L50_); trivial. % 42.98/43.19 (* end of lemma zenon_L51_ *) % 42.98/43.19 assert (zenon_L52_ : (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e10)) = (e10)) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hef zenon_Hf0. % 42.98/43.19 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (op1 (e12) (e10))) = (e10))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hef. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hf0. % 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.19 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf3 ]. % 42.98/43.19 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e10))))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hf1. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hf2. % 42.98/43.19 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf3]. % 42.98/43.19 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf4]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 exact (zenon_Hf5 zenon_Hf0). % 42.98/43.19 apply zenon_Hf3. apply refl_equal. % 42.98/43.19 apply zenon_Hf3. apply refl_equal. % 42.98/43.19 apply zenon_H1e. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L52_ *) % 42.98/43.19 assert (zenon_L53_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hf6 zenon_Hba zenon_Hf7. % 42.98/43.19 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hf6. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hba. % 42.98/43.19 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H77. apply refl_equal. % 42.98/43.19 apply zenon_Hf8. apply sym_equal. exact zenon_Hf7. % 42.98/43.19 (* end of lemma zenon_L53_ *) % 42.98/43.19 assert (zenon_L54_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hf9 zenon_H57 zenon_Hfa zenon_H48. % 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hf9. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H57. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 42.98/43.19 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ]. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e11) = (op1 (e12) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hfb. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hfc. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 42.98/43.19 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_Hfe zenon_Hfa). % 42.98/43.19 apply zenon_Hfd. apply refl_equal. % 42.98/43.19 apply zenon_Hfd. apply refl_equal. % 42.98/43.19 apply (zenon_L14_); trivial. % 42.98/43.19 (* end of lemma zenon_L54_ *) % 42.98/43.19 assert (zenon_L55_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H48 zenon_Hff zenon_H100. % 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.19 cut (((e13) = (e13)) = ((op1 (e12) (op1 (e12) (e13))) = (e13))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H100. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H43. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 cut (((e13) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (op1 (e12) (op1 (e12) (e13))))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H101. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H48. % 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H102]. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 apply zenon_H103. apply sym_equal. exact zenon_Hff. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L55_ *) % 42.98/43.19 assert (zenon_L56_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H48 zenon_H104 zenon_H105. % 42.98/43.19 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ]. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H105. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hfc. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e12) (e13)) = (op1 (e12) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H106. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H48. % 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 42.98/43.19 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfd ]. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H107. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hfc. % 42.98/43.19 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 42.98/43.19 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H108 zenon_H104). % 42.98/43.19 apply zenon_Hfd. apply refl_equal. % 42.98/43.19 apply zenon_Hfd. apply refl_equal. % 42.98/43.19 apply zenon_H4a. apply refl_equal. % 42.98/43.19 apply zenon_Hfd. apply refl_equal. % 42.98/43.19 apply zenon_Hfd. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L56_ *) % 42.98/43.19 assert (zenon_L57_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H109 zenon_Hba zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H10a ]. % 42.98/43.19 apply (zenon_L53_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10b ]. % 42.98/43.19 apply (zenon_L54_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H104 ]. % 42.98/43.19 apply (zenon_L55_); trivial. % 42.98/43.19 apply (zenon_L56_); trivial. % 42.98/43.19 (* end of lemma zenon_L57_ *) % 42.98/43.19 assert (zenon_L58_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e20) (e20)) = (e23)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H10c zenon_H60 zenon_Hb2 zenon_Hef zenon_H7b zenon_H2c zenon_H2b zenon_H33 zenon_H32 zenon_H30 zenon_H2f zenon_H42 zenon_H47 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H73 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H20 | zenon_intro zenon_H10e ]. % 42.98/43.19 exact (zenon_H21 zenon_H20). % 42.98/43.19 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H40 | zenon_intro zenon_H10f ]. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ]. % 42.98/43.19 exact (zenon_H21 zenon_H20). % 42.98/43.19 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ]. % 42.98/43.19 apply (zenon_L24_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ]. % 42.98/43.19 apply (zenon_L52_); trivial. % 42.98/43.19 apply (zenon_L35_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Had | zenon_intro zenon_Hba ]. % 42.98/43.19 exact (zenon_Haf zenon_Had). % 42.98/43.19 apply (zenon_L57_); trivial. % 42.98/43.19 (* end of lemma zenon_L58_ *) % 42.98/43.19 assert (zenon_L59_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H112 zenon_Ha8 zenon_H105 zenon_H48 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H73 zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H47 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_Hb2 zenon_H60 zenon_H10c zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ]. % 42.98/43.19 apply (zenon_L58_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ]. % 42.98/43.19 apply (zenon_L25_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ]. % 42.98/43.19 apply (zenon_L26_); trivial. % 42.98/43.19 apply (zenon_L31_); trivial. % 42.98/43.19 (* end of lemma zenon_L59_ *) % 42.98/43.19 assert (zenon_L60_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((e12) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H48 zenon_H119 zenon_H11a. % 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.19 cut (((e13) = (e13)) = ((e12) = (e13))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H11a. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H43. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (e12))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H11b. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H48. % 42.98/43.19 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 exact (zenon_H11c zenon_H119). % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L60_ *) % 42.98/43.19 assert (zenon_L61_ : (((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> ((e13) = (op1 (e12) (e12))) -> (~((e12) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H11d zenon_H48 zenon_H11a. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H119. zenon_intro zenon_H11e. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_H119. zenon_intro zenon_Hee. % 42.98/43.19 apply (zenon_L60_); trivial. % 42.98/43.19 (* end of lemma zenon_L61_ *) % 42.98/43.19 assert (zenon_L62_ : (((op1 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H11f zenon_H48. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Hff. zenon_intro zenon_H120. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H121. zenon_intro zenon_Hee. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.19 apply (zenon_L55_); trivial. % 42.98/43.19 (* end of lemma zenon_L62_ *) % 42.98/43.19 assert (zenon_L63_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e10)) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H122 zenon_H123. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124. % 42.98/43.19 exact (zenon_H123 zenon_H125). % 42.98/43.19 (* end of lemma zenon_L63_ *) % 42.98/43.19 assert (zenon_L64_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H126 zenon_H57 zenon_H127 zenon_H48. % 42.98/43.19 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H126. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H57. % 42.98/43.19 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 42.98/43.19 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H128]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ]. % 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e11) = (op1 (e13) (e10)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H128. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_Hb5. % 42.98/43.19 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 42.98/43.19 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H129 zenon_H127). % 42.98/43.19 apply zenon_Hb6. apply refl_equal. % 42.98/43.19 apply zenon_Hb6. apply refl_equal. % 42.98/43.19 apply (zenon_L14_); trivial. % 42.98/43.19 (* end of lemma zenon_L64_ *) % 42.98/43.19 assert (zenon_L65_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H12a zenon_H12b zenon_H12c. % 42.98/43.19 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (e13) (op1 (e13) (e11))) = (e11))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H12a. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H12b. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 cut (((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 42.98/43.19 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11)))) = ((op1 (e13) (e13)) = (op1 (e13) (op1 (e13) (e11))))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H12d. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H12e. % 42.98/43.19 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 42.98/43.19 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 exact (zenon_H131 zenon_H12c). % 42.98/43.19 apply zenon_H12f. apply refl_equal. % 42.98/43.19 apply zenon_H12f. apply refl_equal. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L65_ *) % 42.98/43.19 assert (zenon_L66_ : (((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H132 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H12c. zenon_intro zenon_H134. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H75. zenon_intro zenon_H135. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H12a. zenon_intro zenon_H138. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 42.98/43.19 apply (zenon_L64_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 42.98/43.19 apply (zenon_L47_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 42.98/43.19 apply (zenon_L40_); trivial. % 42.98/43.19 apply (zenon_L65_); trivial. % 42.98/43.19 (* end of lemma zenon_L66_ *) % 42.98/43.19 assert (zenon_L67_ : (((op1 (e13) (e12)) = (e13))/\(((op1 (e12) (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)))))))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H13b zenon_H48 zenon_H105. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H13d. zenon_intro zenon_H13c. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H104. zenon_intro zenon_H135. % 42.98/43.19 apply (zenon_L56_); trivial. % 42.98/43.19 (* end of lemma zenon_L67_ *) % 42.98/43.19 assert (zenon_L68_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H12b zenon_H13e zenon_Hc1. % 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.19 cut (((e13) = (e13)) = ((e11) = (e13))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hc1. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H43. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e13) (e13)) = (e11)) = ((e13) = (e11))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hc2. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H12b. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H13f zenon_H13e). % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L68_ *) % 42.98/43.19 assert (zenon_L69_ : (((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H13e zenon_Hc1. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 42.98/43.19 apply (zenon_L64_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 42.98/43.19 apply (zenon_L47_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 42.98/43.19 apply (zenon_L40_); trivial. % 42.98/43.19 apply (zenon_L68_); trivial. % 42.98/43.19 (* end of lemma zenon_L69_ *) % 42.98/43.19 assert (zenon_L70_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H140 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H13e. zenon_intro zenon_H141. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H13e. zenon_intro zenon_H135. % 42.98/43.19 apply (zenon_L69_); trivial. % 42.98/43.19 (* end of lemma zenon_L70_ *) % 42.98/43.19 assert (zenon_L71_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hbd zenon_Hca zenon_He8 zenon_Ha3 zenon_H9c zenon_H33 zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H7e zenon_H10c zenon_H60 zenon_Hb2 zenon_H7b zenon_H2c zenon_H2b zenon_H30 zenon_H2f zenon_H42 zenon_H47 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H73 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_Hf9 zenon_Ha8 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.19 apply (zenon_L8_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.19 apply (zenon_L32_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.19 apply (zenon_L34_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.19 apply (zenon_L36_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.19 apply (zenon_L42_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.19 apply (zenon_L45_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.19 apply (zenon_L46_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.19 apply (zenon_L48_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.19 apply (zenon_L51_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.19 apply (zenon_L59_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.19 apply (zenon_L61_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.19 apply (zenon_L62_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.19 apply (zenon_L63_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.19 apply (zenon_L66_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.19 apply (zenon_L67_); trivial. % 42.98/43.19 apply (zenon_L70_); trivial. % 42.98/43.19 (* end of lemma zenon_L71_ *) % 42.98/43.19 assert (zenon_L72_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H151 zenon_H40 zenon_H152. % 42.98/43.19 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H152. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H153. % 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H155. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H151. % 42.98/43.19 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H154. apply refl_equal. % 42.98/43.19 apply zenon_H156. apply sym_equal. exact zenon_H40. % 42.98/43.19 apply zenon_H154. apply refl_equal. % 42.98/43.19 apply zenon_H154. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L72_ *) % 42.98/43.19 assert (zenon_L73_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Ha7 zenon_H151 zenon_H152. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.19 apply (zenon_L72_); trivial. % 42.98/43.19 (* end of lemma zenon_L73_ *) % 42.98/43.19 assert (zenon_L74_ : (~((op1 (e11) (op1 (e11) (e10))) = (e10))) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hd8 zenon_H151 zenon_Hcf. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((op1 (e11) (op1 (e11) (e10))) = (e10))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_Hd8. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H151. % 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e10))))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H157. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H158. % 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 42.98/43.19 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 exact (zenon_H15b zenon_Hcf). % 42.98/43.19 apply zenon_H159. apply refl_equal. % 42.98/43.19 apply zenon_H159. apply refl_equal. % 42.98/43.19 apply zenon_H1e. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L74_ *) % 42.98/43.19 assert (zenon_L75_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e10)) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hcd zenon_H151. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hbc. zenon_intro zenon_Hd0. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 42.98/43.19 apply (zenon_L74_); trivial. % 42.98/43.19 (* end of lemma zenon_L75_ *) % 42.98/43.19 assert (zenon_L76_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> (~((e10) = (e11))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H151 zenon_Hd3 zenon_H15c. % 42.98/43.19 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H15d | zenon_intro zenon_Hd1 ]. % 42.98/43.19 cut (((e11) = (e11)) = ((e10) = (e11))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H15c. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H15d. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15e]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((e11) = (e10))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H15e. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H151. % 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_Hd4 zenon_Hd3). % 42.98/43.19 apply zenon_H1e. apply refl_equal. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L76_ *) % 42.98/43.19 assert (zenon_L77_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e10)) -> (~((e10) = (e11))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hd5 zenon_H151 zenon_H15c. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd3. zenon_intro zenon_Hd6. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd3. zenon_intro zenon_Hd0. % 42.98/43.19 apply (zenon_L76_); trivial. % 42.98/43.19 (* end of lemma zenon_L77_ *) % 42.98/43.19 assert (zenon_L78_ : ((op1 (e12) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H15f zenon_H160 zenon_H161. % 42.98/43.19 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H162 | zenon_intro zenon_H163 ]. % 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H161. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H162. % 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H164]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H164. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H15f. % 42.98/43.19 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H165]. % 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H163. apply refl_equal. % 42.98/43.19 apply zenon_H165. apply sym_equal. exact zenon_H160. % 42.98/43.19 apply zenon_H163. apply refl_equal. % 42.98/43.19 apply zenon_H163. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L78_ *) % 42.98/43.19 assert (zenon_L79_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H166 zenon_Hbd zenon_Hbb zenon_H15c zenon_H151 zenon_H161 zenon_H160 zenon_He0 zenon_H57 zenon_H48. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hbc | zenon_intro zenon_H167 ]. % 42.98/43.19 apply (zenon_L37_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H168 ]. % 42.98/43.19 apply (zenon_L76_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15f | zenon_intro zenon_He1 ]. % 42.98/43.19 apply (zenon_L78_); trivial. % 42.98/43.19 apply (zenon_L47_); trivial. % 42.98/43.19 (* end of lemma zenon_L79_ *) % 42.98/43.19 assert (zenon_L80_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_Hca zenon_He0 zenon_H160 zenon_H161 zenon_H151 zenon_H15c zenon_Hbd zenon_H166 zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ]. % 42.98/43.19 apply (zenon_L79_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ]. % 42.98/43.19 exact (zenon_H6f zenon_H72). % 42.98/43.19 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ]. % 42.98/43.19 apply (zenon_L39_); trivial. % 42.98/43.19 apply (zenon_L40_); trivial. % 42.98/43.19 (* end of lemma zenon_L80_ *) % 42.98/43.19 assert (zenon_L81_ : (~((e11) = (e12))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H169 zenon_H114 zenon_H15f. % 42.98/43.19 cut (((op1 (e12) (e11)) = (e12)) = ((e11) = (e12))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H169. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H114. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H16a]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H16a zenon_H15f). % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L81_ *) % 42.98/43.19 assert (zenon_L82_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H16b zenon_Hc4 zenon_H6f zenon_H166 zenon_Hbd zenon_H15c zenon_H151 zenon_H161 zenon_He0 zenon_Hca zenon_H114 zenon_H169 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ]. % 42.98/43.19 apply (zenon_L80_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 42.98/43.19 apply (zenon_L81_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ]. % 42.98/43.19 apply (zenon_L39_); trivial. % 42.98/43.19 apply (zenon_L54_); trivial. % 42.98/43.19 (* end of lemma zenon_L82_ *) % 42.98/43.19 assert (zenon_L83_ : ((op1 (e10) (e13)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H74 zenon_H41 zenon_H16e. % 42.98/43.19 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H16f | zenon_intro zenon_H77 ]. % 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H16e. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H16f. % 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H170]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H170. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H74. % 42.98/43.19 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 42.98/43.19 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H77. apply refl_equal. % 42.98/43.19 apply zenon_H171. apply sym_equal. exact zenon_H41. % 42.98/43.19 apply zenon_H77. apply refl_equal. % 42.98/43.19 apply zenon_H77. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L83_ *) % 42.98/43.19 assert (zenon_L84_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e13)) -> (~((e10) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H151 zenon_H172 zenon_H42. % 42.98/43.19 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.19 cut (((e13) = (e13)) = ((e10) = (e13))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H42. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H43. % 42.98/43.19 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.19 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e10)) = ((e13) = (e10))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H45. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H151. % 42.98/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.19 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H173 zenon_H172). % 42.98/43.19 apply zenon_H1e. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 apply zenon_H44. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L84_ *) % 42.98/43.19 assert (zenon_L85_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e11)) = (e13)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H174 zenon_H48 zenon_H175. % 42.98/43.19 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H174. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H48. % 42.98/43.19 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 42.98/43.19 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 42.98/43.19 congruence. % 42.98/43.19 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H162 | zenon_intro zenon_H163 ]. % 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H176. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H162. % 42.98/43.19 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 42.98/43.19 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H177]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H177 zenon_H175). % 42.98/43.19 apply zenon_H163. apply refl_equal. % 42.98/43.19 apply zenon_H163. apply refl_equal. % 42.98/43.19 apply zenon_H4a. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L85_ *) % 42.98/43.19 assert (zenon_L86_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e10) = (e13))) -> ((op1 (e11) (e11)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e13)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H178 zenon_H16e zenon_H74 zenon_H42 zenon_H151 zenon_H48 zenon_H174 zenon_H12a zenon_H12b. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H41 | zenon_intro zenon_H179 ]. % 42.98/43.19 apply (zenon_L83_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H172 | zenon_intro zenon_H17a ]. % 42.98/43.19 apply (zenon_L84_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H175 | zenon_intro zenon_H12c ]. % 42.98/43.19 apply (zenon_L85_); trivial. % 42.98/43.19 apply (zenon_L65_); trivial. % 42.98/43.19 (* end of lemma zenon_L86_ *) % 42.98/43.19 assert (zenon_L87_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (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) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e11)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H122 zenon_H178 zenon_H16e zenon_H42 zenon_H151 zenon_H48 zenon_H174 zenon_H12b. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H74. zenon_intro zenon_H135. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H12a. zenon_intro zenon_H138. % 42.98/43.19 apply (zenon_L86_); trivial. % 42.98/43.19 (* end of lemma zenon_L87_ *) % 42.98/43.19 assert (zenon_L88_ : (((op1 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e13)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H132 zenon_H12b. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_H12c. zenon_intro zenon_H134. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H75. zenon_intro zenon_H135. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H12a. zenon_intro zenon_H138. % 42.98/43.19 apply (zenon_L65_); trivial. % 42.98/43.19 (* end of lemma zenon_L88_ *) % 42.98/43.19 assert (zenon_L89_ : (((op1 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H140 zenon_H12b zenon_Hc1. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H13e. zenon_intro zenon_H141. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H13e. zenon_intro zenon_H135. % 42.98/43.19 apply (zenon_L68_); trivial. % 42.98/43.19 (* end of lemma zenon_L89_ *) % 42.98/43.19 assert (zenon_L90_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H6a zenon_He8 zenon_H5f zenon_H60 zenon_H6e zenon_H57 zenon_Hf9 zenon_H169 zenon_Hca zenon_He0 zenon_H161 zenon_H15c zenon_Hbd zenon_H166 zenon_H6f zenon_Hc4 zenon_H16b zenon_H11a zenon_H174 zenon_H151 zenon_H42 zenon_H16e zenon_H178 zenon_H105 zenon_H48 zenon_H12b zenon_Hc1. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.19 apply (zenon_L8_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.19 apply (zenon_L73_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.19 apply (zenon_L34_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.19 apply (zenon_L36_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.19 apply (zenon_L75_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.19 apply (zenon_L77_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.19 apply (zenon_L46_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.19 apply (zenon_L48_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.19 apply (zenon_L51_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.19 apply (zenon_L82_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.19 apply (zenon_L61_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.19 apply (zenon_L62_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.19 apply (zenon_L87_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.19 apply (zenon_L88_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.19 apply (zenon_L67_); trivial. % 42.98/43.19 apply (zenon_L89_); trivial. % 42.98/43.19 (* end of lemma zenon_L90_ *) % 42.98/43.19 assert (zenon_L91_ : (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e10)) = (e10)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H17b zenon_H17c zenon_H20. % 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((e10) = (e12))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H17b. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H17c. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H21 zenon_H20). % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L91_ *) % 42.98/43.19 assert (zenon_L92_ : (~((e11) = (e12))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e10)) = (e11)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H169 zenon_H17c zenon_H17d. % 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((e11) = (e12))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H169. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H17c. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17e]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H17e zenon_H17d). % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L92_ *) % 42.98/43.19 assert (zenon_L93_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> False). % 42.98/43.19 do 0 intro. intros zenon_Heb zenon_H17f zenon_H17c. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H17f. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H17c. % 42.98/43.19 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 42.98/43.19 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H181. apply refl_equal. % 42.98/43.19 apply zenon_H180. apply sym_equal. exact zenon_Hed. % 42.98/43.19 (* end of lemma zenon_L93_ *) % 42.98/43.19 assert (zenon_L94_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 42.98/43.19 do 0 intro. intros zenon_H182 zenon_H17c zenon_H183. % 42.98/43.19 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H182. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H17c. % 42.98/43.19 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 42.98/43.19 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 42.98/43.19 congruence. % 42.98/43.19 apply zenon_H181. apply refl_equal. % 42.98/43.19 apply zenon_H184. apply sym_equal. exact zenon_H183. % 42.98/43.19 (* end of lemma zenon_L94_ *) % 42.98/43.19 assert (zenon_L95_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e13)) = (e12)) -> (~((e11) = (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H12b zenon_H185 zenon_H169. % 42.98/43.19 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H186 | zenon_intro zenon_H5d ]. % 42.98/43.19 cut (((e12) = (e12)) = ((e11) = (e12))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H169. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H186. % 42.98/43.19 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.19 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 42.98/43.19 congruence. % 42.98/43.19 cut (((op1 (e13) (e13)) = (e11)) = ((e12) = (e11))). % 42.98/43.19 intro zenon_D_pnotp. % 42.98/43.19 apply zenon_H187. % 42.98/43.19 rewrite <- zenon_D_pnotp. % 42.98/43.19 exact zenon_H12b. % 42.98/43.19 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.19 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 42.98/43.19 congruence. % 42.98/43.19 exact (zenon_H188 zenon_H185). % 42.98/43.19 apply zenon_Hd1. apply refl_equal. % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 apply zenon_H5d. apply refl_equal. % 42.98/43.19 (* end of lemma zenon_L95_ *) % 42.98/43.19 assert (zenon_L96_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H112 zenon_H189 zenon_H17c zenon_H182 zenon_H66 zenon_H48 zenon_H12b zenon_H169. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ]. % 42.98/43.19 apply (zenon_L94_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H68 | zenon_intro zenon_H18b ]. % 42.98/43.19 apply (zenon_L19_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hff | zenon_intro zenon_H185 ]. % 42.98/43.19 apply (zenon_L55_); trivial. % 42.98/43.19 apply (zenon_L95_); trivial. % 42.98/43.19 (* end of lemma zenon_L96_ *) % 42.98/43.19 assert (zenon_L97_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 42.98/43.19 do 0 intro. intros zenon_H142 zenon_H17b zenon_H152 zenon_Hac zenon_H60 zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H169 zenon_H66 zenon_H182 zenon_H17c zenon_H189 zenon_H11a zenon_H174 zenon_H151 zenon_H42 zenon_H16e zenon_H178 zenon_H105 zenon_H48 zenon_H12b zenon_Hc1. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H20. zenon_intro zenon_H27. % 42.98/43.19 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H20. zenon_intro zenon_H28. % 42.98/43.19 apply (zenon_L91_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.19 apply (zenon_L73_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.19 apply (zenon_L34_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.19 apply (zenon_L36_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.19 apply (zenon_L75_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.19 apply (zenon_L77_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H72. zenon_intro zenon_Hdf. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_H15f. zenon_intro zenon_Hd0. % 42.98/43.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H17d | zenon_intro zenon_H18d ]. % 42.98/43.19 apply (zenon_L92_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_Hcf | zenon_intro zenon_H18e ]. % 42.98/43.19 apply (zenon_L74_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H160 | zenon_intro zenon_H127 ]. % 42.98/43.19 apply (zenon_L78_); trivial. % 42.98/43.19 apply (zenon_L64_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.19 apply (zenon_L48_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.19 apply (zenon_L93_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.19 apply (zenon_L96_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.19 apply (zenon_L61_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.19 apply (zenon_L62_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.19 apply (zenon_L87_); trivial. % 42.98/43.19 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.20 apply (zenon_L88_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.20 apply (zenon_L67_); trivial. % 42.98/43.20 apply (zenon_L89_); trivial. % 42.98/43.20 (* end of lemma zenon_L97_ *) % 42.98/43.20 assert (zenon_L98_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e10) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H151 zenon_H18f zenon_H17b. % 42.98/43.20 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H186 | zenon_intro zenon_H5d ]. % 42.98/43.20 cut (((e12) = (e12)) = ((e10) = (e12))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H17b. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H186. % 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.20 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e10)) = ((e12) = (e10))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H190. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H151. % 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H191 zenon_H18f). % 42.98/43.20 apply zenon_H1e. apply refl_equal. % 42.98/43.20 apply zenon_H5d. apply refl_equal. % 42.98/43.20 apply zenon_H5d. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L98_ *) % 42.98/43.20 assert (zenon_L99_ : ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e12) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H192 zenon_H16b zenon_Hc4 zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H42 zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_H60 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H151 zenon_H11a zenon_H48 zenon_H12b zenon_H169. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 42.98/43.20 apply (zenon_L90_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.20 apply (zenon_L97_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.20 apply (zenon_L98_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.20 apply (zenon_L60_); trivial. % 42.98/43.20 apply (zenon_L95_); trivial. % 42.98/43.20 (* end of lemma zenon_L99_ *) % 42.98/43.20 assert (zenon_L100_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e12) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H133 zenon_H192 zenon_H16b zenon_Hc4 zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H42 zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_H60 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H151 zenon_H11a zenon_H48 zenon_H169. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 42.98/43.20 apply (zenon_L64_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 42.98/43.20 apply (zenon_L47_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 42.98/43.20 apply (zenon_L40_); trivial. % 42.98/43.20 apply (zenon_L99_); trivial. % 42.98/43.20 (* end of lemma zenon_L100_ *) % 42.98/43.20 assert (zenon_L101_ : ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e12)) = (e10)) -> (~((e10) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H48 zenon_H196 zenon_H42. % 42.98/43.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.20 cut (((e13) = (e13)) = ((e10) = (e13))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H42. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H43. % 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.20 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((e13) = (op1 (e12) (e12))) = ((e13) = (e10))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H45. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H48. % 42.98/43.20 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 exact (zenon_H197 zenon_H196). % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L101_ *) % 42.98/43.20 assert (zenon_L102_ : ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e13)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H60 zenon_H198 zenon_H48 zenon_Hc4. % 42.98/43.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ]. % 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_Hc4. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H199. % 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e13) (e13)) = (op1 (e13) (e12)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H19b. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H60. % 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 42.98/43.20 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 42.98/43.20 congruence. % 42.98/43.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ]. % 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e10) = (op1 (e13) (e13)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H19c. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H199. % 42.98/43.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 42.98/43.20 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H19d zenon_H198). % 42.98/43.20 apply zenon_H19a. apply refl_equal. % 42.98/43.20 apply zenon_H19a. apply refl_equal. % 42.98/43.20 apply (zenon_L17_); trivial. % 42.98/43.20 apply zenon_H19a. apply refl_equal. % 42.98/43.20 apply zenon_H19a. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L102_ *) % 42.98/43.20 assert (zenon_L103_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H19e zenon_H60 zenon_Hb2 zenon_H48 zenon_H57 zenon_H126 zenon_H17c zenon_H19f zenon_H123. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1a0 ]. % 42.98/43.20 apply (zenon_L35_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H127 | zenon_intro zenon_H1a1 ]. % 42.98/43.20 apply (zenon_L64_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H125 ]. % 42.98/43.20 cut (((op1 (e10) (e10)) = (e12)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H19f. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H17c. % 42.98/43.20 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 42.98/43.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H181. apply refl_equal. % 42.98/43.20 apply zenon_H1a3. apply sym_equal. exact zenon_H1a2. % 42.98/43.20 exact (zenon_H123 zenon_H125). % 42.98/43.20 (* end of lemma zenon_L103_ *) % 42.98/43.20 assert (zenon_L104_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1a4 zenon_H19f zenon_H17c zenon_H19e zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 42.98/43.20 apply (zenon_L103_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.20 exact (zenon_H21 zenon_H20). % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.20 apply (zenon_L100_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.20 apply (zenon_L101_); trivial. % 42.98/43.20 apply (zenon_L102_); trivial. % 42.98/43.20 (* end of lemma zenon_L104_ *) % 42.98/43.20 assert (zenon_L105_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1a8 zenon_H50 zenon_Hf0. % 42.98/43.20 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1a8. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H50. % 42.98/43.20 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 42.98/43.20 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H53. apply refl_equal. % 42.98/43.20 apply zenon_H1a9. apply sym_equal. exact zenon_Hf0. % 42.98/43.20 (* end of lemma zenon_L105_ *) % 42.98/43.20 assert (zenon_L106_ : (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e11)) = (e11)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H169 zenon_H18f zenon_Hd3. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((e11) = (e12))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H169. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H18f. % 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_Hd4 zenon_Hd3). % 42.98/43.20 apply zenon_H5d. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L106_ *) % 42.98/43.20 assert (zenon_L107_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H166 zenon_Hbd zenon_Hbb zenon_H18f zenon_H169 zenon_H161 zenon_H160 zenon_He0 zenon_H57 zenon_H48. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Hbc | zenon_intro zenon_H167 ]. % 42.98/43.20 apply (zenon_L37_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H168 ]. % 42.98/43.20 apply (zenon_L106_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15f | zenon_intro zenon_He1 ]. % 42.98/43.20 apply (zenon_L78_); trivial. % 42.98/43.20 apply (zenon_L47_); trivial. % 42.98/43.20 (* end of lemma zenon_L107_ *) % 42.98/43.20 assert (zenon_L108_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e12) (e10)) = (e13)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1aa zenon_H48 zenon_H1ab. % 42.98/43.20 cut (((e13) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1aa. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H48. % 42.98/43.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 42.98/43.20 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 42.98/43.20 congruence. % 42.98/43.20 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ]. % 42.98/43.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1ac. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H1ad. % 42.98/43.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 42.98/43.20 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H1af zenon_H1ab). % 42.98/43.20 apply zenon_H1ae. apply refl_equal. % 42.98/43.20 apply zenon_H1ae. apply refl_equal. % 42.98/43.20 apply zenon_H4a. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L108_ *) % 42.98/43.20 assert (zenon_L109_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1b0 zenon_H50 zenon_H1a8 zenon_H57 zenon_He0 zenon_H161 zenon_H169 zenon_H18f zenon_Hbb zenon_Hbd zenon_H166 zenon_H1b1 zenon_H1aa zenon_H48. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1b2 ]. % 42.98/43.20 apply (zenon_L105_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H160 | zenon_intro zenon_H1b3 ]. % 42.98/43.20 apply (zenon_L107_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hed | zenon_intro zenon_H1ab ]. % 42.98/43.20 exact (zenon_H1b1 zenon_Hed). % 42.98/43.20 apply (zenon_L108_); trivial. % 42.98/43.20 (* end of lemma zenon_L109_ *) % 42.98/43.20 assert (zenon_L110_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H50 zenon_H1b4 zenon_H42. % 42.98/43.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.20 cut (((e13) = (e13)) = ((e10) = (e13))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H42. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H43. % 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.20 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e11) (e10)) = (e10)) = ((e13) = (e10))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H45. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H50. % 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.20 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H1b5 zenon_H1b4). % 42.98/43.20 apply zenon_H1e. apply refl_equal. % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L110_ *) % 42.98/43.20 assert (zenon_L111_ : ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e11)) = (e13)) -> (~((e12) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H18f zenon_H172 zenon_H11a. % 42.98/43.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 42.98/43.20 cut (((e13) = (e13)) = ((e12) = (e13))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H11a. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H43. % 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.20 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((e13) = (e12))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H11b. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H18f. % 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H173 zenon_H172). % 42.98/43.20 apply zenon_H5d. apply refl_equal. % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L111_ *) % 42.98/43.20 assert (zenon_L112_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1b6 zenon_H40 zenon_H1b7. % 42.98/43.20 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1b6. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H40. % 42.98/43.20 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 42.98/43.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b9]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H1b9. apply refl_equal. % 42.98/43.20 apply zenon_H1b8. apply sym_equal. exact zenon_H1b7. % 42.98/43.20 (* end of lemma zenon_L112_ *) % 42.98/43.20 assert (zenon_L113_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1ba zenon_H57 zenon_H1bb zenon_H48. % 42.98/43.20 cut (((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1ba. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H57. % 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 42.98/43.20 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1bc]. % 42.98/43.20 congruence. % 42.98/43.20 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H16f | zenon_intro zenon_H77 ]. % 42.98/43.20 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1bc. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H16f. % 42.98/43.20 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 42.98/43.20 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H1bd zenon_H1bb). % 42.98/43.20 apply zenon_H77. apply refl_equal. % 42.98/43.20 apply zenon_H77. apply refl_equal. % 42.98/43.20 apply (zenon_L14_); trivial. % 42.98/43.20 (* end of lemma zenon_L113_ *) % 42.98/43.20 assert (zenon_L114_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1be zenon_He9 zenon_H183. % 42.98/43.20 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1be. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_He9. % 42.98/43.20 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 42.98/43.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H4d. apply refl_equal. % 42.98/43.20 apply zenon_H184. apply sym_equal. exact zenon_H183. % 42.98/43.20 (* end of lemma zenon_L114_ *) % 42.98/43.20 assert (zenon_L115_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1bf zenon_Hf7 zenon_Hf6 zenon_H48 zenon_H57 zenon_H1ba zenon_He9 zenon_H1be zenon_H73 zenon_H75. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_Hba | zenon_intro zenon_H1c0 ]. % 42.98/43.20 apply (zenon_L53_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c1 ]. % 42.98/43.20 apply (zenon_L113_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H183 | zenon_intro zenon_H74 ]. % 42.98/43.20 apply (zenon_L114_); trivial. % 42.98/43.20 apply (zenon_L22_); trivial. % 42.98/43.20 (* end of lemma zenon_L115_ *) % 42.98/43.20 assert (zenon_L116_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1c2 zenon_H11a zenon_H18f zenon_H6a zenon_H1c3 zenon_H50 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H1bf zenon_Hf6 zenon_H48 zenon_H57 zenon_H1ba zenon_He9 zenon_H1be zenon_H73. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c4 ]. % 42.98/43.20 apply (zenon_L110_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H172 | zenon_intro zenon_H1c5 ]. % 42.98/43.20 apply (zenon_L111_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H6b | zenon_intro zenon_H75 ]. % 42.98/43.20 apply (zenon_L20_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ]. % 42.98/43.20 apply (zenon_L105_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ]. % 42.98/43.20 apply (zenon_L112_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ]. % 42.98/43.20 apply (zenon_L101_); trivial. % 42.98/43.20 apply (zenon_L115_); trivial. % 42.98/43.20 (* end of lemma zenon_L116_ *) % 42.98/43.20 assert (zenon_L117_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_Ha7 zenon_H1c8 zenon_H60 zenon_Hac zenon_H1aa zenon_H1b1 zenon_H166 zenon_Hbd zenon_H169 zenon_H161 zenon_He0 zenon_H1b0 zenon_H73 zenon_H1be zenon_H1ba zenon_H57 zenon_Hf6 zenon_H1bf zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_H6a zenon_H18f zenon_H11a zenon_H1c2 zenon_H47 zenon_H48. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Had | zenon_intro zenon_H1c9 ]. % 42.98/43.20 apply (zenon_L33_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hbb | zenon_intro zenon_H1ca ]. % 42.98/43.20 apply (zenon_L109_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_He9 | zenon_intro zenon_H49 ]. % 42.98/43.20 apply (zenon_L116_); trivial. % 42.98/43.20 apply (zenon_L12_); trivial. % 42.98/43.20 (* end of lemma zenon_L117_ *) % 42.98/43.20 assert (zenon_L118_ : (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1cb zenon_H18f zenon_H72. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (op1 (e11) (e12))) = (e12))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1cb. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H18f. % 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1cc]. % 42.98/43.20 congruence. % 42.98/43.20 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ce ]. % 42.98/43.20 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e12))))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1cc. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H1cd. % 42.98/43.20 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 42.98/43.20 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6f]. % 42.98/43.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_Hd1. apply refl_equal. % 42.98/43.20 exact (zenon_H6f zenon_H72). % 42.98/43.20 apply zenon_H1ce. apply refl_equal. % 42.98/43.20 apply zenon_H1ce. apply refl_equal. % 42.98/43.20 apply zenon_H5d. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L118_ *) % 42.98/43.20 assert (zenon_L119_ : ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H15f zenon_Hbc zenon_H1b6. % 42.98/43.20 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H162 | zenon_intro zenon_H163 ]. % 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1b6. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H162. % 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d0]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e12) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1d0. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H15f. % 42.98/43.20 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 42.98/43.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H163]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H163. apply refl_equal. % 42.98/43.20 apply zenon_Hbf. apply sym_equal. exact zenon_Hbc. % 42.98/43.20 apply zenon_H163. apply refl_equal. % 42.98/43.20 apply zenon_H163. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L119_ *) % 42.98/43.20 assert (zenon_L120_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_Hcd zenon_H16b zenon_Hc4 zenon_H18f zenon_H166 zenon_Hbd zenon_H169 zenon_H161 zenon_He0 zenon_Hca zenon_H1b6 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hbc. zenon_intro zenon_Hd0. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H1cb. zenon_intro zenon_H1d1. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ]. % 42.98/43.20 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ]. % 42.98/43.20 apply (zenon_L107_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ]. % 42.98/43.20 apply (zenon_L118_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ]. % 42.98/43.20 apply (zenon_L39_); trivial. % 42.98/43.20 apply (zenon_L40_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 42.98/43.20 apply (zenon_L119_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ]. % 42.98/43.20 apply (zenon_L39_); trivial. % 42.98/43.20 apply (zenon_L54_); trivial. % 42.98/43.20 (* end of lemma zenon_L120_ *) % 42.98/43.20 assert (zenon_L121_ : (((op1 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e11) (op1 (e11) (e13))) = (e13)))))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_Hd5 zenon_H169 zenon_H18f. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd3. zenon_intro zenon_Hd6. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hd3. zenon_intro zenon_Hd0. % 42.98/43.20 apply (zenon_L106_); trivial. % 42.98/43.20 (* end of lemma zenon_L121_ *) % 42.98/43.20 assert (zenon_L122_ : (((op1 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_Hde zenon_H18f. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H72. zenon_intro zenon_Hdf. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_H15f. zenon_intro zenon_Hd0. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H1cb. zenon_intro zenon_H1d1. % 42.98/43.20 apply (zenon_L118_); trivial. % 42.98/43.20 (* end of lemma zenon_L122_ *) % 42.98/43.20 assert (zenon_L123_ : (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1d2 zenon_H18f zenon_H68. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1d2. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H18f. % 42.98/43.20 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H154. apply refl_equal. % 42.98/43.20 apply zenon_H69. apply sym_equal. exact zenon_H68. % 42.98/43.20 (* end of lemma zenon_L123_ *) % 42.98/43.20 assert (zenon_L124_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H189 zenon_He9 zenon_H1be zenon_H18f zenon_H1d2 zenon_H100 zenon_H48 zenon_H12b zenon_H169. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ]. % 42.98/43.20 apply (zenon_L114_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H68 | zenon_intro zenon_H18b ]. % 42.98/43.20 apply (zenon_L123_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hff | zenon_intro zenon_H185 ]. % 42.98/43.20 apply (zenon_L55_); trivial. % 42.98/43.20 apply (zenon_L95_); trivial. % 42.98/43.20 (* end of lemma zenon_L124_ *) % 42.98/43.20 assert (zenon_L125_ : (((op1 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (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 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_Heb zenon_H133 zenon_H126 zenon_He0 zenon_H57 zenon_Hc4 zenon_H189 zenon_H1be zenon_H18f zenon_H1d2 zenon_H48 zenon_H169. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He9. zenon_intro zenon_Hee. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 42.98/43.20 apply (zenon_L64_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 42.98/43.20 apply (zenon_L47_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 42.98/43.20 apply (zenon_L40_); trivial. % 42.98/43.20 apply (zenon_L124_); trivial. % 42.98/43.20 (* end of lemma zenon_L125_ *) % 42.98/43.20 assert (zenon_L126_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1d3 zenon_H18f zenon_H114. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1d3. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H18f. % 42.98/43.20 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d4]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H154. apply refl_equal. % 42.98/43.20 apply zenon_H1d4. apply sym_equal. exact zenon_H114. % 42.98/43.20 (* end of lemma zenon_L126_ *) % 42.98/43.20 assert (zenon_L127_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H112 zenon_H1d3 zenon_H18f. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.20 apply (zenon_L126_); trivial. % 42.98/43.20 (* end of lemma zenon_L127_ *) % 42.98/43.20 assert (zenon_L128_ : ((op1 (e13) (e10)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H125 zenon_H1b4 zenon_H1d5. % 42.98/43.20 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb6 ]. % 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1d5. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_Hb5. % 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e13) (e10)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1d6. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H125. % 42.98/43.20 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d7]. % 42.98/43.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hb6]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_Hb6. apply refl_equal. % 42.98/43.20 apply zenon_H1d7. apply sym_equal. exact zenon_H1b4. % 42.98/43.20 apply zenon_Hb6. apply refl_equal. % 42.98/43.20 apply zenon_Hb6. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L128_ *) % 42.98/43.20 assert (zenon_L129_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1c2 zenon_H1d5 zenon_H125 zenon_H11a zenon_H18f zenon_H48 zenon_H6a zenon_H73 zenon_H74. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c4 ]. % 42.98/43.20 apply (zenon_L128_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H172 | zenon_intro zenon_H1c5 ]. % 42.98/43.20 apply (zenon_L111_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H6b | zenon_intro zenon_H75 ]. % 42.98/43.20 apply (zenon_L20_); trivial. % 42.98/43.20 apply (zenon_L22_); trivial. % 42.98/43.20 (* end of lemma zenon_L129_ *) % 42.98/43.20 assert (zenon_L130_ : (((op1 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((e12) = (e13))) -> ((op1 (e11) (e11)) = (e12)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H122 zenon_H1c2 zenon_H1d5 zenon_H11a zenon_H18f zenon_H48 zenon_H6a zenon_H73. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H74. zenon_intro zenon_H135. % 42.98/43.20 apply (zenon_L129_); trivial. % 42.98/43.20 (* end of lemma zenon_L130_ *) % 42.98/43.20 assert (zenon_L131_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H142 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H42 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1b1 zenon_H1aa zenon_H1c8 zenon_Hac zenon_H60 zenon_Hb2 zenon_Hf9 zenon_H1b6 zenon_Hca zenon_H161 zenon_Hbd zenon_H166 zenon_H16b zenon_H169 zenon_H1d2 zenon_H1be zenon_H189 zenon_H1d3 zenon_H73 zenon_H6a zenon_H18f zenon_H11a zenon_H1d5 zenon_H1c2 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.20 apply (zenon_L8_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.20 apply (zenon_L117_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.20 apply (zenon_L34_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.20 apply (zenon_L36_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.20 apply (zenon_L120_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.20 apply (zenon_L121_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.20 apply (zenon_L122_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.20 apply (zenon_L48_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.20 apply (zenon_L125_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.20 apply (zenon_L127_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.20 apply (zenon_L61_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.20 apply (zenon_L62_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.20 apply (zenon_L130_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.20 apply (zenon_L66_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.20 apply (zenon_L67_); trivial. % 42.98/43.20 apply (zenon_L70_); trivial. % 42.98/43.20 (* end of lemma zenon_L131_ *) % 42.98/43.20 assert (zenon_L132_ : ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H18f zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 42.98/43.20 apply (zenon_L131_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.20 exact (zenon_H21 zenon_H20). % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.20 apply (zenon_L100_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.20 apply (zenon_L101_); trivial. % 42.98/43.20 apply (zenon_L102_); trivial. % 42.98/43.20 (* end of lemma zenon_L132_ *) % 42.98/43.20 assert (zenon_L133_ : (((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H185 zenon_H169. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 42.98/43.20 apply (zenon_L64_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 42.98/43.20 apply (zenon_L47_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 42.98/43.20 apply (zenon_L40_); trivial. % 42.98/43.20 apply (zenon_L95_); trivial. % 42.98/43.20 (* end of lemma zenon_L133_ *) % 42.98/43.20 assert (zenon_L134_ : (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_Ha3 zenon_H9c zenon_H33 zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H7e zenon_H10c zenon_H7b zenon_H2c zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_Haf zenon_H109 zenon_Ha8 zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 42.98/43.20 apply (zenon_L71_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.20 exact (zenon_H21 zenon_H20). % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.20 apply (zenon_L100_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.20 apply (zenon_L101_); trivial. % 42.98/43.20 apply (zenon_L102_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.20 apply (zenon_L104_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.20 apply (zenon_L132_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.20 apply (zenon_L60_); trivial. % 42.98/43.20 apply (zenon_L133_); trivial. % 42.98/43.20 (* end of lemma zenon_L134_ *) % 42.98/43.20 assert (zenon_L135_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)) -> False). % 42.98/43.20 do 0 intro. intros zenon_Ha7 zenon_H20. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H22. zenon_intro zenon_H29. % 42.98/43.20 apply (zenon_L7_); trivial. % 42.98/43.20 (* end of lemma zenon_L135_ *) % 42.98/43.20 assert (zenon_L136_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1d9 zenon_H20 zenon_H40. % 42.98/43.20 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1d9. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H20. % 42.98/43.20 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 42.98/43.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H181. apply refl_equal. % 42.98/43.20 apply zenon_H156. apply sym_equal. exact zenon_H40. % 42.98/43.20 (* end of lemma zenon_L136_ *) % 42.98/43.20 assert (zenon_L137_ : (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e10)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H17b zenon_H114 zenon_H1b7. % 42.98/43.20 cut (((op1 (e12) (e11)) = (e12)) = ((e10) = (e12))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H17b. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H114. % 42.98/43.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 42.98/43.20 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1da]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H1da zenon_H1b7). % 42.98/43.20 apply zenon_H5d. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L137_ *) % 42.98/43.20 assert (zenon_L138_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e11)) = (e10)) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1db zenon_H60 zenon_H1dc zenon_H48. % 42.98/43.20 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1db. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H60. % 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 42.98/43.20 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1dd]. % 42.98/43.20 congruence. % 42.98/43.20 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 42.98/43.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e10) = (op1 (e13) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1dd. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_He3. % 42.98/43.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 42.98/43.20 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1de]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H1de zenon_H1dc). % 42.98/43.20 apply zenon_He4. apply refl_equal. % 42.98/43.20 apply zenon_He4. apply refl_equal. % 42.98/43.20 apply (zenon_L17_); trivial. % 42.98/43.20 (* end of lemma zenon_L138_ *) % 42.98/43.20 assert (zenon_L139_ : ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H67 zenon_H1df zenon_H1e0. % 42.98/43.20 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ]. % 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1e0. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H63. % 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1e1. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H67. % 42.98/43.20 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1e2]. % 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H64. apply refl_equal. % 42.98/43.20 apply zenon_H1e2. apply sym_equal. exact zenon_H1df. % 42.98/43.20 apply zenon_H64. apply refl_equal. % 42.98/43.20 apply zenon_H64. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L139_ *) % 42.98/43.20 assert (zenon_L140_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H5f zenon_H67 zenon_H121. % 42.98/43.20 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H5f. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H67. % 42.98/43.20 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1e3]. % 42.98/43.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H64. apply refl_equal. % 42.98/43.20 apply zenon_H1e3. apply sym_equal. exact zenon_H121. % 42.98/43.20 (* end of lemma zenon_L140_ *) % 42.98/43.20 assert (zenon_L141_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H6e zenon_H60 zenon_H6f zenon_H121 zenon_H5f zenon_H6a zenon_H48. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H61 | zenon_intro zenon_H70 ]. % 42.98/43.20 apply (zenon_L18_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 42.98/43.20 exact (zenon_H6f zenon_H72). % 42.98/43.20 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H67 | zenon_intro zenon_H6b ]. % 42.98/43.20 apply (zenon_L140_); trivial. % 42.98/43.20 apply (zenon_L20_); trivial. % 42.98/43.20 (* end of lemma zenon_L141_ *) % 42.98/43.20 assert (zenon_L142_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1e4 zenon_He8 zenon_H1e0 zenon_H1df zenon_H11c zenon_H6e zenon_H60 zenon_H6f zenon_H5f zenon_H6a zenon_H48. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e5 ]. % 42.98/43.20 apply (zenon_L50_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H67 | zenon_intro zenon_H1e6 ]. % 42.98/43.20 apply (zenon_L139_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H119 | zenon_intro zenon_H121 ]. % 42.98/43.20 exact (zenon_H11c zenon_H119). % 42.98/43.20 apply (zenon_L141_); trivial. % 42.98/43.20 (* end of lemma zenon_L142_ *) % 42.98/43.20 assert (zenon_L143_ : ((op1 (e11) (e11)) = (e12)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H18f zenon_H1e7 zenon_H152. % 42.98/43.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H153 | zenon_intro zenon_H154 ]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H152. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H153. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((op1 (e11) (e11)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H155. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H18f. % 42.98/43.20 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 42.98/43.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H154. apply refl_equal. % 42.98/43.20 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7. % 42.98/43.20 apply zenon_H154. apply refl_equal. % 42.98/43.20 apply zenon_H154. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L143_ *) % 42.98/43.20 assert (zenon_L144_ : ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e13) (e10)) = (e12)) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H60 zenon_H1a2 zenon_H48 zenon_H137. % 42.98/43.20 elim (classic ((e10) = (e10))); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e ]. % 42.98/43.20 cut (((e10) = (e10)) = ((op1 (e13) (op1 (e13) (e10))) = (e10))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H137. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H1e9. % 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.20 cut (((e10) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1ea]. % 42.98/43.20 congruence. % 42.98/43.20 cut (((e10) = (op1 (op1 (e12) (e12)) (e12))) = ((e10) = (op1 (e13) (op1 (e13) (e10))))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1ea. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H60. % 42.98/43.20 cut (((op1 (op1 (e12) (e12)) (e12)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 42.98/43.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H1e]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H1e. apply refl_equal. % 42.98/43.20 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 42.98/43.20 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H55. apply sym_equal. exact zenon_H48. % 42.98/43.20 apply zenon_H1a3. apply sym_equal. exact zenon_H1a2. % 42.98/43.20 apply zenon_H1e. apply refl_equal. % 42.98/43.20 apply zenon_H1e. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L144_ *) % 42.98/43.20 assert (zenon_L145_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e12))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H1ec zenon_H137 zenon_H48 zenon_H60 zenon_H1e7 zenon_H1ed zenon_H67 zenon_H5f zenon_H12b zenon_H169. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1ee ]. % 42.98/43.20 apply (zenon_L144_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1ef ]. % 42.98/43.20 cut (((op1 (e10) (e11)) = (e12)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H1ed. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H1e7. % 42.98/43.20 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 42.98/43.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b9]. % 42.98/43.20 congruence. % 42.98/43.20 apply zenon_H1b9. apply refl_equal. % 42.98/43.20 apply zenon_H1f1. apply sym_equal. exact zenon_H1f0. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H121 | zenon_intro zenon_H185 ]. % 42.98/43.20 apply (zenon_L140_); trivial. % 42.98/43.20 apply (zenon_L95_); trivial. % 42.98/43.20 (* end of lemma zenon_L145_ *) % 42.98/43.20 assert (zenon_L146_ : (~((e12) = (e13))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 42.98/43.20 do 0 intro. intros zenon_H11a zenon_H74 zenon_H183. % 42.98/43.20 cut (((op1 (e10) (e13)) = (e13)) = ((e12) = (e13))). % 42.98/43.20 intro zenon_D_pnotp. % 42.98/43.20 apply zenon_H11a. % 42.98/43.20 rewrite <- zenon_D_pnotp. % 42.98/43.20 exact zenon_H74. % 42.98/43.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 42.98/43.20 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 42.98/43.20 congruence. % 42.98/43.20 exact (zenon_H1f2 zenon_H183). % 42.98/43.20 apply zenon_H44. apply refl_equal. % 42.98/43.20 (* end of lemma zenon_L146_ *) % 42.98/43.20 assert (zenon_L147_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e12) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hb2 zenon_H1db zenon_H16b zenon_H166 zenon_Hbd zenon_H15c zenon_H161 zenon_Hca zenon_Hf9 zenon_H1d9 zenon_H1f3 zenon_H11a zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_He8 zenon_H6a zenon_H1f4 zenon_H11c zenon_H1e0 zenon_H1e4 zenon_H152 zenon_H169 zenon_H1ed zenon_H1ec zenon_H66 zenon_H17b zenon_H20 zenon_H1f5 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.20 apply (zenon_L8_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.20 apply (zenon_L135_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.20 apply (zenon_L34_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.20 apply (zenon_L36_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.20 apply (zenon_L42_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.20 apply (zenon_L45_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.20 apply (zenon_L46_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.20 apply (zenon_L48_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.20 apply (zenon_L51_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H40 | zenon_intro zenon_H1f6 ]. % 42.98/43.20 apply (zenon_L136_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1f7 ]. % 42.98/43.20 apply (zenon_L82_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1dc ]. % 42.98/43.20 apply (zenon_L137_); trivial. % 42.98/43.20 apply (zenon_L138_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.20 apply (zenon_L61_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.20 apply (zenon_L62_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H74. zenon_intro zenon_H135. % 42.98/43.20 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H17c | zenon_intro zenon_H1f8 ]. % 42.98/43.20 apply (zenon_L91_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1f9 ]. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1df | zenon_intro zenon_H1fa ]. % 42.98/43.20 apply (zenon_L142_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H18f | zenon_intro zenon_H1fb ]. % 42.98/43.20 apply (zenon_L143_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ]. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 42.98/43.20 apply (zenon_L64_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 42.98/43.20 apply (zenon_L47_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 42.98/43.20 apply (zenon_L40_); trivial. % 42.98/43.20 apply (zenon_L145_); trivial. % 42.98/43.20 apply (zenon_L21_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_He9 | zenon_intro zenon_H183 ]. % 42.98/43.20 apply (zenon_L50_); trivial. % 42.98/43.20 apply (zenon_L146_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.20 apply (zenon_L66_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.20 apply (zenon_L67_); trivial. % 42.98/43.20 apply (zenon_L70_); trivial. % 42.98/43.20 (* end of lemma zenon_L147_ *) % 42.98/43.20 assert (zenon_L148_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.20 do 0 intro. intros zenon_H142 zenon_H20 zenon_Hac zenon_H60 zenon_Hb2 zenon_Hf9 zenon_H1b6 zenon_Hca zenon_H161 zenon_Hbd zenon_H166 zenon_H16b zenon_H169 zenon_H1d2 zenon_H1be zenon_H189 zenon_H1d3 zenon_H73 zenon_H6a zenon_H18f zenon_H11a zenon_H1d5 zenon_H1c2 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.20 apply (zenon_L8_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.20 apply (zenon_L135_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.20 apply (zenon_L34_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.20 apply (zenon_L36_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.20 apply (zenon_L120_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.20 apply (zenon_L121_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.20 apply (zenon_L122_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.20 apply (zenon_L48_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.20 apply (zenon_L125_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.20 apply (zenon_L127_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.20 apply (zenon_L61_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.20 apply (zenon_L62_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.20 apply (zenon_L130_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.20 apply (zenon_L66_); trivial. % 42.98/43.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.20 apply (zenon_L67_); trivial. % 42.98/43.20 apply (zenon_L70_); trivial. % 42.98/43.20 (* end of lemma zenon_L148_ *) % 42.98/43.20 assert (zenon_L149_ : ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((e10) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H192 zenon_H1db zenon_H15c zenon_H1d9 zenon_H1f3 zenon_H6e zenon_H5f zenon_He8 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H152 zenon_H1ed zenon_H1ec zenon_H66 zenon_H1f5 zenon_H1fc zenon_H17b zenon_Hc1 zenon_H105 zenon_H1c2 zenon_H1d5 zenon_H6a zenon_H73 zenon_H1d3 zenon_H189 zenon_H1be zenon_H1d2 zenon_H16b zenon_H166 zenon_Hbd zenon_H161 zenon_Hca zenon_H1b6 zenon_Hf9 zenon_Hb2 zenon_H60 zenon_Hac zenon_H20 zenon_H142 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ]. % 42.98/43.21 apply (zenon_L147_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.21 apply (zenon_L91_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.21 apply (zenon_L148_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.21 apply (zenon_L60_); trivial. % 42.98/43.21 apply (zenon_L133_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.21 apply (zenon_L91_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.21 apply (zenon_L148_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.21 apply (zenon_L60_); trivial. % 42.98/43.21 apply (zenon_L133_); trivial. % 42.98/43.21 (* end of lemma zenon_L149_ *) % 42.98/43.21 assert (zenon_L150_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_Ha3 zenon_H9c zenon_H33 zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H10c zenon_H7b zenon_H2c zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 42.98/43.21 apply (zenon_L134_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.21 apply (zenon_L104_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.21 apply (zenon_L132_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.21 apply (zenon_L60_); trivial. % 42.98/43.21 apply (zenon_L133_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.21 apply (zenon_L149_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.21 apply (zenon_L100_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.21 apply (zenon_L101_); trivial. % 42.98/43.21 apply (zenon_L102_); trivial. % 42.98/43.21 (* end of lemma zenon_L150_ *) % 42.98/43.21 assert (zenon_L151_ : (~((e22) = (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H201. % 42.98/43.21 apply zenon_H201. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L151_ *) % 42.98/43.21 assert (zenon_L152_ : (~((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H202 zenon_H33. % 42.98/43.21 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.21 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H203. apply sym_equal. exact zenon_H33. % 42.98/43.21 apply zenon_H201. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L152_ *) % 42.98/43.21 assert (zenon_L153_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e22)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H204 zenon_H2c zenon_H205 zenon_H33. % 42.98/43.21 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H204. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H2c. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 42.98/43.21 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ]. % 42.98/43.21 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e20) = (op2 (e20) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H206. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H89. % 42.98/43.21 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.21 cut (((op2 (e20) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H207 zenon_H205). % 42.98/43.21 apply zenon_H8a. apply refl_equal. % 42.98/43.21 apply zenon_H8a. apply refl_equal. % 42.98/43.21 apply (zenon_L152_); trivial. % 42.98/43.21 (* end of lemma zenon_L153_ *) % 42.98/43.21 assert (zenon_L154_ : (((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H208 zenon_H204 zenon_H2c zenon_H33. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H205. zenon_intro zenon_H209. % 42.98/43.21 apply (zenon_L153_); trivial. % 42.98/43.21 (* end of lemma zenon_L154_ *) % 42.98/43.21 assert (zenon_L155_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H20a zenon_H2c zenon_H20b zenon_H33. % 42.98/43.21 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H20a. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H2c. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 42.98/43.21 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H20c]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H20d | zenon_intro zenon_H20e ]. % 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H20c. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H20d. % 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 42.98/43.21 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H20f]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H20f zenon_H20b). % 42.98/43.21 apply zenon_H20e. apply refl_equal. % 42.98/43.21 apply zenon_H20e. apply refl_equal. % 42.98/43.21 apply (zenon_L152_); trivial. % 42.98/43.21 (* end of lemma zenon_L155_ *) % 42.98/43.21 assert (zenon_L156_ : (((op2 (e20) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H210 zenon_H20a zenon_H2c zenon_H33. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H212. zenon_intro zenon_H211. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H20b. zenon_intro zenon_H1c. % 42.98/43.21 apply (zenon_L155_); trivial. % 42.98/43.21 (* end of lemma zenon_L156_ *) % 42.98/43.21 assert (zenon_L157_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e20)) = (e21))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H213 zenon_H214. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 42.98/43.21 exact (zenon_H214 zenon_H216). % 42.98/43.21 (* end of lemma zenon_L157_ *) % 42.98/43.21 assert (zenon_L158_ : (~((e21) = (e21))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H217. % 42.98/43.21 apply zenon_H217. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L158_ *) % 42.98/43.21 assert (zenon_L159_ : (~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H218 zenon_H219. % 42.98/43.21 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 42.98/43.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H217. apply refl_equal. % 42.98/43.21 exact (zenon_H21a zenon_H219). % 42.98/43.21 (* end of lemma zenon_L159_ *) % 42.98/43.21 assert (zenon_L160_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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)))))))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H21b. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H219. zenon_intro zenon_H21c. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H219. zenon_intro zenon_H21d. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H221. zenon_intro zenon_H220. % 42.98/43.21 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (e21) (op2 (e21) (e21))) = (e21))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H221. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H219. % 42.98/43.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.21 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [ zenon_intro zenon_H223 | zenon_intro zenon_H224 ]. % 42.98/43.21 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H222. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H223. % 42.98/43.21 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 42.98/43.21 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 42.98/43.21 congruence. % 42.98/43.21 apply (zenon_L159_); trivial. % 42.98/43.21 apply zenon_H224. apply refl_equal. % 42.98/43.21 apply zenon_H224. apply refl_equal. % 42.98/43.21 apply zenon_H217. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L160_ *) % 42.98/43.21 assert (zenon_L161_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e22)) = (e21))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H225 zenon_H226. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227. % 42.98/43.21 exact (zenon_H226 zenon_H228). % 42.98/43.21 (* end of lemma zenon_L161_ *) % 42.98/43.21 assert (zenon_L162_ : (~((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H229 zenon_H33. % 42.98/43.21 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 42.98/43.21 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H203. apply sym_equal. exact zenon_H33. % 42.98/43.21 apply zenon_H203. apply sym_equal. exact zenon_H33. % 42.98/43.21 (* end of lemma zenon_L162_ *) % 42.98/43.21 assert (zenon_L163_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H22a zenon_H22b zenon_H22c zenon_H33. % 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H22a. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H22b. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 42.98/43.21 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H22e | zenon_intro zenon_H22f ]. % 42.98/43.21 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e21) = (op2 (e23) (e21)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H22d. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H22e. % 42.98/43.21 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 42.98/43.21 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H230 zenon_H22c). % 42.98/43.21 apply zenon_H22f. apply refl_equal. % 42.98/43.21 apply zenon_H22f. apply refl_equal. % 42.98/43.21 apply (zenon_L162_); trivial. % 42.98/43.21 (* end of lemma zenon_L163_ *) % 42.98/43.21 assert (zenon_L164_ : (((op2 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H231 zenon_H22a zenon_H22b zenon_H33. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H231). zenon_intro zenon_H233. zenon_intro zenon_H232. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H232). zenon_intro zenon_H22c. zenon_intro zenon_H21d. % 42.98/43.21 apply (zenon_L163_); trivial. % 42.98/43.21 (* end of lemma zenon_L164_ *) % 42.98/43.21 assert (zenon_L165_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H234 zenon_H2c zenon_H235 zenon_H33. % 42.98/43.21 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H234. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H2c. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 42.98/43.21 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H236]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e20) = (op2 (e21) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H236. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H237. % 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 42.98/43.21 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H239 zenon_H235). % 42.98/43.21 apply zenon_H238. apply refl_equal. % 42.98/43.21 apply zenon_H238. apply refl_equal. % 42.98/43.21 apply (zenon_L152_); trivial. % 42.98/43.21 (* end of lemma zenon_L165_ *) % 42.98/43.21 assert (zenon_L166_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H23a zenon_H23b zenon_H23c. % 42.98/43.21 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H23a. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H23b. % 42.98/43.21 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 42.98/43.21 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H8a. apply refl_equal. % 42.98/43.21 apply zenon_H23d. apply sym_equal. exact zenon_H23c. % 42.98/43.21 (* end of lemma zenon_L166_ *) % 42.98/43.21 assert (zenon_L167_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H23e zenon_H33 zenon_H23f. % 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H23e. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H33. % 42.98/43.21 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 42.98/43.21 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H240]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H240. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H237. % 42.98/43.21 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 42.98/43.21 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H241]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H241 zenon_H23f). % 42.98/43.21 apply zenon_H238. apply refl_equal. % 42.98/43.21 apply zenon_H238. apply refl_equal. % 42.98/43.21 apply zenon_H87. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L167_ *) % 42.98/43.21 assert (zenon_L168_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H23b zenon_H23a zenon_H23e zenon_H33. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H235 | zenon_intro zenon_H243 ]. % 42.98/43.21 apply (zenon_L165_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H228 | zenon_intro zenon_H244 ]. % 42.98/43.21 exact (zenon_H226 zenon_H228). % 42.98/43.21 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ]. % 42.98/43.21 apply (zenon_L166_); trivial. % 42.98/43.21 apply (zenon_L167_); trivial. % 42.98/43.21 (* end of lemma zenon_L168_ *) % 42.98/43.21 assert (zenon_L169_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H245 zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H23a zenon_H23e zenon_H33. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23b. zenon_intro zenon_H248. % 42.98/43.21 apply (zenon_L168_); trivial. % 42.98/43.21 (* end of lemma zenon_L169_ *) % 42.98/43.21 assert (zenon_L170_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H249 zenon_H99 zenon_H24a. % 42.98/43.21 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H249. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H99. % 42.98/43.21 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 42.98/43.21 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H24c. apply refl_equal. % 42.98/43.21 apply zenon_H24b. apply sym_equal. exact zenon_H24a. % 42.98/43.21 (* end of lemma zenon_L170_ *) % 42.98/43.21 assert (zenon_L171_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H24d zenon_H7e zenon_H24e. % 42.98/43.21 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H24d. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H7e. % 42.98/43.21 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 42.98/43.21 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H250. apply refl_equal. % 42.98/43.21 apply zenon_H24f. apply sym_equal. exact zenon_H24e. % 42.98/43.21 (* end of lemma zenon_L171_ *) % 42.98/43.21 assert (zenon_L172_ : (~((e23) = (e23))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H82. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L172_ *) % 42.98/43.21 assert (zenon_L173_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e20) = (e23))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H33 zenon_H251 zenon_H80. % 42.98/43.21 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.21 cut (((e23) = (e23)) = ((e20) = (e23))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H80. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H81. % 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.21 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 42.98/43.21 congruence. % 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (e20))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H83. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H33. % 42.98/43.21 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H252]. % 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 exact (zenon_H252 zenon_H251). % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L173_ *) % 42.98/43.21 assert (zenon_L174_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H253 zenon_H212 zenon_H254. % 42.98/43.21 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H253. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H212. % 42.98/43.21 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H95. apply refl_equal. % 42.98/43.21 apply zenon_H255. apply sym_equal. exact zenon_H254. % 42.98/43.21 (* end of lemma zenon_L174_ *) % 42.98/43.21 assert (zenon_L175_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H256 zenon_H22b zenon_H257 zenon_H33. % 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H256. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H22b. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 42.98/43.21 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H258. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H94. % 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.21 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H259 zenon_H257). % 42.98/43.21 apply zenon_H95. apply refl_equal. % 42.98/43.21 apply zenon_H95. apply refl_equal. % 42.98/43.21 apply (zenon_L162_); trivial. % 42.98/43.21 (* end of lemma zenon_L175_ *) % 42.98/43.21 assert (zenon_L176_ : (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H93 zenon_H25a zenon_H25b. % 42.98/43.21 cut (((op2 (e20) (e20)) = (e22)) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H93. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H25a. % 42.98/43.21 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 42.98/43.21 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H8e. apply refl_equal. % 42.98/43.21 apply zenon_H25c. apply sym_equal. exact zenon_H25b. % 42.98/43.21 (* end of lemma zenon_L176_ *) % 42.98/43.21 assert (zenon_L177_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H25d zenon_H92 zenon_H25e. % 42.98/43.21 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H25d. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H92. % 42.98/43.21 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25f]. % 42.98/43.21 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H95. apply refl_equal. % 42.98/43.21 apply zenon_H25f. apply sym_equal. exact zenon_H25e. % 42.98/43.21 (* end of lemma zenon_L177_ *) % 42.98/43.21 assert (zenon_L178_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H33 zenon_H22b zenon_H256 zenon_H25a zenon_H93 zenon_H25d zenon_H25e. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ]. % 42.98/43.21 apply (zenon_L174_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ]. % 42.98/43.21 apply (zenon_L175_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ]. % 42.98/43.21 apply (zenon_L176_); trivial. % 42.98/43.21 apply (zenon_L177_); trivial. % 42.98/43.21 (* end of lemma zenon_L178_ *) % 42.98/43.21 assert (zenon_L179_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H33 zenon_H263 zenon_H264. % 42.98/43.21 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ]. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H264. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H265. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H267]. % 42.98/43.21 congruence. % 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H267. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H33. % 42.98/43.21 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 42.98/43.21 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ]. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H268. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H265. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 42.98/43.21 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H269 zenon_H263). % 42.98/43.21 apply zenon_H266. apply refl_equal. % 42.98/43.21 apply zenon_H266. apply refl_equal. % 42.98/43.21 apply zenon_H87. apply refl_equal. % 42.98/43.21 apply zenon_H266. apply refl_equal. % 42.98/43.21 apply zenon_H266. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L179_ *) % 42.98/43.21 assert (zenon_L180_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H26a zenon_H22b zenon_H26b zenon_H33. % 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H26a. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H22b. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 42.98/43.21 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H20d | zenon_intro zenon_H20e ]. % 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e21) = (op2 (e23) (e20)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H26c. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H20d. % 42.98/43.21 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H20e]. % 42.98/43.21 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H26d]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H26d zenon_H26b). % 42.98/43.21 apply zenon_H20e. apply refl_equal. % 42.98/43.21 apply zenon_H20e. apply refl_equal. % 42.98/43.21 apply (zenon_L162_); trivial. % 42.98/43.21 (* end of lemma zenon_L180_ *) % 42.98/43.21 assert (zenon_L181_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H26e zenon_H22b zenon_H26f zenon_H33. % 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H26e. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H22b. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 42.98/43.21 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H272 ]. % 42.98/43.21 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H270. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H271. % 42.98/43.21 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H272]. % 42.98/43.21 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H273 zenon_H26f). % 42.98/43.21 apply zenon_H272. apply refl_equal. % 42.98/43.21 apply zenon_H272. apply refl_equal. % 42.98/43.21 apply (zenon_L162_); trivial. % 42.98/43.21 (* end of lemma zenon_L181_ *) % 42.98/43.21 assert (zenon_L182_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> (~((e21) = (e23))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H274 zenon_H275 zenon_H276. % 42.98/43.21 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.21 cut (((e23) = (e23)) = ((e21) = (e23))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H276. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H81. % 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.21 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 42.98/43.21 congruence. % 42.98/43.21 cut (((op2 (e23) (e23)) = (e21)) = ((e23) = (e21))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H277. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H274. % 42.98/43.21 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.21 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H278]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H278 zenon_H275). % 42.98/43.21 apply zenon_H217. apply refl_equal. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L182_ *) % 42.98/43.21 assert (zenon_L183_ : (((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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> (~((e21) = (e23))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H275 zenon_H276. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 42.98/43.21 apply (zenon_L180_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 42.98/43.21 apply (zenon_L163_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 42.98/43.21 apply (zenon_L181_); trivial. % 42.98/43.21 apply (zenon_L182_); trivial. % 42.98/43.21 (* end of lemma zenon_L183_ *) % 42.98/43.21 assert (zenon_L184_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False). % 42.98/43.21 do 0 intro. intros zenon_Ha8 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_H25a zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H33 zenon_H9c zenon_Ha3. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ]. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 42.98/43.21 apply (zenon_L170_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 42.98/43.21 apply (zenon_L171_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 42.98/43.21 apply (zenon_L173_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ]. % 42.98/43.21 apply (zenon_L28_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ]. % 42.98/43.21 apply (zenon_L178_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ]. % 42.98/43.21 apply (zenon_L179_); trivial. % 42.98/43.21 apply (zenon_L183_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ]. % 42.98/43.21 apply (zenon_L25_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ]. % 42.98/43.21 apply (zenon_L26_); trivial. % 42.98/43.21 apply (zenon_L31_); trivial. % 42.98/43.21 (* end of lemma zenon_L184_ *) % 42.98/43.21 assert (zenon_L185_ : ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H282 zenon_H283 zenon_H24d. % 42.98/43.21 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ]. % 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H24d. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H284. % 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 42.98/43.21 congruence. % 42.98/43.21 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H286. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H282. % 42.98/43.21 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 42.98/43.21 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H285. apply refl_equal. % 42.98/43.21 apply zenon_H287. apply sym_equal. exact zenon_H283. % 42.98/43.21 apply zenon_H285. apply refl_equal. % 42.98/43.21 apply zenon_H285. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L185_ *) % 42.98/43.21 assert (zenon_L186_ : (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H288 zenon_H92 zenon_H25b. % 42.98/43.21 cut (((op2 (e20) (e23)) = (e23)) = ((e22) = (e23))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H288. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H92. % 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.21 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H289 zenon_H25b). % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L186_ *) % 42.98/43.21 assert (zenon_L187_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 42.98/43.21 do 0 intro. intros zenon_Ha8 zenon_H73 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H50 zenon_H78 zenon_H47 zenon_H40 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_H80 zenon_H7e zenon_H33 zenon_H85 zenon_H288 zenon_H25b. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ]. % 42.98/43.21 apply (zenon_L24_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ]. % 42.98/43.21 apply (zenon_L25_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ]. % 42.98/43.21 apply (zenon_L26_); trivial. % 42.98/43.21 apply (zenon_L186_); trivial. % 42.98/43.21 (* end of lemma zenon_L187_ *) % 42.98/43.21 assert (zenon_L188_ : (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e22) (e20)) = (e20)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H28a zenon_H24a. % 42.98/43.21 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (op2 (e22) (e20))) = (e20))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H28a. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H24a. % 42.98/43.21 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.21 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H28b]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [ zenon_intro zenon_H28c | zenon_intro zenon_H28d ]. % 42.98/43.21 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e20))))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H28b. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H28c. % 42.98/43.21 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 42.98/43.21 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H28e]. % 42.98/43.21 congruence. % 42.98/43.21 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28f]. % 42.98/43.21 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H201. apply refl_equal. % 42.98/43.21 exact (zenon_H28f zenon_H24a). % 42.98/43.21 apply zenon_H28d. apply refl_equal. % 42.98/43.21 apply zenon_H28d. apply refl_equal. % 42.98/43.21 apply zenon_H12. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L188_ *) % 42.98/43.21 assert (zenon_L189_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H290 zenon_H22b zenon_H291 zenon_H33. % 42.98/43.21 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H290. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H22b. % 42.98/43.21 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 42.98/43.21 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 42.98/43.21 congruence. % 42.98/43.21 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H265 | zenon_intro zenon_H266 ]. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e21) = (op2 (e22) (e23)))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H292. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H265. % 42.98/43.21 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 42.98/43.21 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H293]. % 42.98/43.21 congruence. % 42.98/43.21 exact (zenon_H293 zenon_H291). % 42.98/43.21 apply zenon_H266. apply refl_equal. % 42.98/43.21 apply zenon_H266. apply refl_equal. % 42.98/43.21 apply (zenon_L162_); trivial. % 42.98/43.21 (* end of lemma zenon_L189_ *) % 42.98/43.21 assert (zenon_L190_ : (~((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> False). % 42.98/43.21 do 0 intro. intros zenon_H294 zenon_H295. % 42.98/43.21 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 42.98/43.21 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H201. apply refl_equal. % 42.98/43.21 apply zenon_H296. apply sym_equal. exact zenon_H295. % 42.98/43.21 (* end of lemma zenon_L190_ *) % 42.98/43.21 assert (zenon_L191_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H33 zenon_H295 zenon_H297. % 42.98/43.21 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.21 cut (((e23) = (e23)) = ((op2 (e22) (op2 (e22) (e23))) = (e23))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H297. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H81. % 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.21 cut (((e23) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 42.98/43.21 congruence. % 42.98/43.21 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (op2 (e22) (op2 (e22) (e23))))). % 42.98/43.21 intro zenon_D_pnotp. % 42.98/43.21 apply zenon_H298. % 42.98/43.21 rewrite <- zenon_D_pnotp. % 42.98/43.21 exact zenon_H33. % 42.98/43.21 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H294]. % 42.98/43.21 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.21 congruence. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 apply (zenon_L190_); trivial. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 apply zenon_H82. apply refl_equal. % 42.98/43.21 (* end of lemma zenon_L191_ *) % 42.98/43.21 assert (zenon_L192_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H299 zenon_H212 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H254 | zenon_intro zenon_H29a ]. % 42.98/43.21 apply (zenon_L174_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H291 | zenon_intro zenon_H29b ]. % 42.98/43.21 apply (zenon_L189_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H295 | zenon_intro zenon_H263 ]. % 42.98/43.21 apply (zenon_L191_); trivial. % 42.98/43.21 apply (zenon_L179_); trivial. % 42.98/43.21 (* end of lemma zenon_L192_ *) % 42.98/43.21 assert (zenon_L193_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e20) (e23)) = (e22)) -> False). % 42.98/43.21 do 0 intro. intros zenon_Ha8 zenon_H105 zenon_H48 zenon_H100 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H73 zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H47 zenon_H42 zenon_H2f zenon_H30 zenon_H2b zenon_H2c zenon_H7b zenon_Hef zenon_Hb2 zenon_H60 zenon_H10c zenon_H80 zenon_H7e zenon_H33 zenon_H85 zenon_H288 zenon_H25b. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H32 | zenon_intro zenon_Haa ]. % 42.98/43.21 apply (zenon_L58_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7f | zenon_intro zenon_Hab ]. % 42.98/43.21 apply (zenon_L25_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H86 | zenon_intro zenon_H92 ]. % 42.98/43.21 apply (zenon_L26_); trivial. % 42.98/43.21 apply (zenon_L186_); trivial. % 42.98/43.21 (* end of lemma zenon_L193_ *) % 42.98/43.21 assert (zenon_L194_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (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 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.21 do 0 intro. intros zenon_H142 zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_Hac zenon_Hbd zenon_Hca zenon_He8 zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_H288 zenon_H85 zenon_H80 zenon_H10c zenon_H60 zenon_Hb2 zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H42 zenon_H47 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H73 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_Hf9 zenon_Ha8 zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.21 apply (zenon_L8_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 42.98/43.21 exact (zenon_H15 zenon_H14). % 42.98/43.21 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 42.98/43.21 exact (zenon_H15 zenon_H14). % 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 42.98/43.21 apply (zenon_L184_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 42.98/43.21 apply (zenon_L185_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 42.98/43.21 apply (zenon_L168_); trivial. % 42.98/43.21 apply (zenon_L187_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 42.98/43.21 apply (zenon_L188_); trivial. % 42.98/43.21 apply (zenon_L155_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 42.98/43.21 exact (zenon_H207 zenon_H205). % 42.98/43.21 apply (zenon_L192_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.21 apply (zenon_L34_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.21 apply (zenon_L36_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.21 apply (zenon_L42_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.21 apply (zenon_L45_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.21 apply (zenon_L46_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.21 apply (zenon_L48_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.21 apply (zenon_L51_); trivial. % 42.98/43.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.21 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 42.98/43.22 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 42.98/43.22 exact (zenon_H15 zenon_H14). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 42.98/43.22 exact (zenon_H15 zenon_H14). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 42.98/43.22 apply (zenon_L184_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 42.98/43.22 apply (zenon_L185_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 42.98/43.22 apply (zenon_L166_); trivial. % 42.98/43.22 apply (zenon_L193_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 42.98/43.22 apply (zenon_L188_); trivial. % 42.98/43.22 apply (zenon_L155_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 42.98/43.22 exact (zenon_H207 zenon_H205). % 42.98/43.22 apply (zenon_L192_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.22 apply (zenon_L61_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.22 apply (zenon_L62_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.22 apply (zenon_L63_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.22 apply (zenon_L66_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.22 apply (zenon_L67_); trivial. % 42.98/43.22 apply (zenon_L70_); trivial. % 42.98/43.22 (* end of lemma zenon_L194_ *) % 42.98/43.22 assert (zenon_L195_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (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 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_H288 zenon_H85 zenon_H80 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_Haf zenon_H109 zenon_Ha8 zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H29e zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 42.98/43.22 apply (zenon_L194_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.22 exact (zenon_H21 zenon_H20). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.22 apply (zenon_L100_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.22 apply (zenon_L101_); trivial. % 42.98/43.22 apply (zenon_L102_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.22 apply (zenon_L104_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.22 apply (zenon_L132_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.22 apply (zenon_L60_); trivial. % 42.98/43.22 apply (zenon_L133_); trivial. % 42.98/43.22 (* end of lemma zenon_L195_ *) % 42.98/43.22 assert (zenon_L196_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (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 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_H264 zenon_H33 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_H288 zenon_H85 zenon_H80 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H23a zenon_H24d zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_Ha3 zenon_H29d zenon_H20a zenon_H2c zenon_H29e zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 42.98/43.22 apply (zenon_L195_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.22 apply (zenon_L104_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.22 apply (zenon_L132_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.22 apply (zenon_L60_); trivial. % 42.98/43.22 apply (zenon_L133_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.22 apply (zenon_L149_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.22 apply (zenon_L100_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.22 apply (zenon_L101_); trivial. % 42.98/43.22 apply (zenon_L102_); trivial. % 42.98/43.22 (* end of lemma zenon_L196_ *) % 42.98/43.22 assert (zenon_L197_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e22)) -> (~((e22) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H33 zenon_H2ab zenon_H288. % 42.98/43.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.22 cut (((e23) = (e23)) = ((e22) = (e23))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H288. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H81. % 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.22 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (e22))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2ac. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H33. % 42.98/43.22 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 exact (zenon_H2ad zenon_H2ab). % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L197_ *) % 42.98/43.22 assert (zenon_L198_ : (((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((e23) = (op2 (e22) (e22))) -> (~((e22) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2ae zenon_H33 zenon_H288. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H2ab. zenon_intro zenon_H2af. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2ab. zenon_intro zenon_H248. % 42.98/43.22 apply (zenon_L197_); trivial. % 42.98/43.22 (* end of lemma zenon_L198_ *) % 42.98/43.22 assert (zenon_L199_ : (((op2 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2b0 zenon_H33. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H295. zenon_intro zenon_H2b1. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b2. zenon_intro zenon_H248. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 42.98/43.22 apply (zenon_L191_); trivial. % 42.98/43.22 (* end of lemma zenon_L199_ *) % 42.98/43.22 assert (zenon_L200_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e20)) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2b3 zenon_Ha3. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4. % 42.98/43.22 exact (zenon_Ha3 zenon_Ha6). % 42.98/43.22 (* end of lemma zenon_L200_ *) % 42.98/43.22 assert (zenon_L201_ : (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2b5 zenon_H274 zenon_H2b6. % 42.98/43.22 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (op2 (e23) (e21))) = (e21))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2b5. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H274. % 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.22 cut (((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H2b7]. % 42.98/43.22 congruence. % 42.98/43.22 elim (classic ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b9 ]. % 42.98/43.22 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21)))) = ((op2 (e23) (e23)) = (op2 (e23) (op2 (e23) (e21))))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2b7. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2b8. % 42.98/43.22 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H2b9]. % 42.98/43.22 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ba]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2bb]. % 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 exact (zenon_H2bb zenon_H2b6). % 42.98/43.22 apply zenon_H2b9. apply refl_equal. % 42.98/43.22 apply zenon_H2b9. apply refl_equal. % 42.98/43.22 apply zenon_H217. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L201_ *) % 42.98/43.22 assert (zenon_L202_ : (((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2bc zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b6. zenon_intro zenon_H2bd. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H25e. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 42.98/43.22 apply (zenon_L180_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 42.98/43.22 apply (zenon_L163_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 42.98/43.22 apply (zenon_L181_); trivial. % 42.98/43.22 apply (zenon_L201_); trivial. % 42.98/43.22 (* end of lemma zenon_L202_ *) % 42.98/43.22 assert (zenon_L203_ : (((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (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)))))))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2c2 zenon_H33 zenon_H264. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H263. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_L179_); trivial. % 42.98/43.22 (* end of lemma zenon_L203_ *) % 42.98/43.22 assert (zenon_L204_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2c5 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H275. zenon_intro zenon_H2c6. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H275. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_L183_); trivial. % 42.98/43.22 (* end of lemma zenon_L204_ *) % 42.98/43.22 assert (zenon_L205_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H29e zenon_H2c zenon_H20a zenon_H29d zenon_H9c zenon_H93 zenon_Ha2 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H24d zenon_H23a zenon_Ha8 zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H80 zenon_H85 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H290 zenon_H23e zenon_H226 zenon_H234 zenon_H242 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.22 apply (zenon_L4_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.22 apply (zenon_L150_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.22 apply (zenon_L154_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.22 apply (zenon_L156_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.22 apply (zenon_L157_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.22 apply (zenon_L160_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.22 apply (zenon_L161_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.22 apply (zenon_L164_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.22 apply (zenon_L169_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.22 apply (zenon_L196_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.22 apply (zenon_L198_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.22 apply (zenon_L199_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.22 apply (zenon_L200_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.22 apply (zenon_L202_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.22 apply (zenon_L203_); trivial. % 42.98/43.22 apply (zenon_L204_); trivial. % 42.98/43.22 (* end of lemma zenon_L205_ *) % 42.98/43.22 assert (zenon_L206_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H7e zenon_H2d7. % 42.98/43.22 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d9 ]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2d7. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d8. % 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2da]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2da. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d6. % 42.98/43.22 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H2d9. apply refl_equal. % 42.98/43.22 apply zenon_H2db. apply sym_equal. exact zenon_H7e. % 42.98/43.22 apply zenon_H2d9. apply refl_equal. % 42.98/43.22 apply zenon_H2d9. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L206_ *) % 42.98/43.22 assert (zenon_L207_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H1fd zenon_H2d6 zenon_H2d7. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 42.98/43.22 apply (zenon_L206_); trivial. % 42.98/43.22 (* end of lemma zenon_L207_ *) % 42.98/43.22 assert (zenon_L208_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2dc zenon_H2dd zenon_H2de. % 42.98/43.22 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ]. % 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2de. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H89. % 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2df]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2df. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2dc. % 42.98/43.22 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 42.98/43.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H8a. apply refl_equal. % 42.98/43.22 apply zenon_H2e0. apply sym_equal. exact zenon_H2dd. % 42.98/43.22 apply zenon_H8a. apply refl_equal. % 42.98/43.22 apply zenon_H8a. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L208_ *) % 42.98/43.22 assert (zenon_L209_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H33 zenon_H2e1 zenon_H276. % 42.98/43.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.22 cut (((e23) = (e23)) = ((e21) = (e23))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H276. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H81. % 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.22 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((e23) = (op2 (e22) (e22))) = ((e23) = (e21))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H277. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H33. % 42.98/43.22 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e2]. % 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 exact (zenon_H2e2 zenon_H2e1). % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L209_ *) % 42.98/43.22 assert (zenon_L210_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2e3 zenon_H2de zenon_H2dd zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ]. % 42.98/43.22 apply (zenon_L208_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ]. % 42.98/43.22 exact (zenon_H226 zenon_H228). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ]. % 42.98/43.22 apply (zenon_L209_); trivial. % 42.98/43.22 apply (zenon_L181_); trivial. % 42.98/43.22 (* end of lemma zenon_L210_ *) % 42.98/43.22 assert (zenon_L211_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H213 zenon_H2e3 zenon_H2de zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H2dd. zenon_intro zenon_H21d. % 42.98/43.22 apply (zenon_L210_); trivial. % 42.98/43.22 (* end of lemma zenon_L211_ *) % 42.98/43.22 assert (zenon_L212_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e21))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H219 zenon_H2e6. % 42.98/43.22 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H217 ]. % 42.98/43.22 cut (((e21) = (e21)) = ((e20) = (e21))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2e6. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2e7. % 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.22 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2e8]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((e21) = (e20))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2e8. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d6. % 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H21a zenon_H219). % 42.98/43.22 apply zenon_H12. apply refl_equal. % 42.98/43.22 apply zenon_H217. apply refl_equal. % 42.98/43.22 apply zenon_H217. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L212_ *) % 42.98/43.22 assert (zenon_L213_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e21)) = (e20)) -> (~((e20) = (e21))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H21b zenon_H2d6 zenon_H2e6. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H219. zenon_intro zenon_H21c. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H219. zenon_intro zenon_H21d. % 42.98/43.22 apply (zenon_L212_); trivial. % 42.98/43.22 (* end of lemma zenon_L213_ *) % 42.98/43.22 assert (zenon_L214_ : ((op2 (e22) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2e9 zenon_H2ea zenon_H2eb. % 42.98/43.22 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ]. % 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2eb. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H284. % 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ec]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2ec. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2e9. % 42.98/43.22 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2ed]. % 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H285. apply refl_equal. % 42.98/43.22 apply zenon_H2ed. apply sym_equal. exact zenon_H2ea. % 42.98/43.22 apply zenon_H285. apply refl_equal. % 42.98/43.22 apply zenon_H285. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L214_ *) % 42.98/43.22 assert (zenon_L215_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2ee zenon_H2de zenon_H2dc zenon_H2e6 zenon_H2d6 zenon_H2eb zenon_H2ea zenon_H22a zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ]. % 42.98/43.22 apply (zenon_L208_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ]. % 42.98/43.22 apply (zenon_L212_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ]. % 42.98/43.22 apply (zenon_L214_); trivial. % 42.98/43.22 apply (zenon_L163_); trivial. % 42.98/43.22 (* end of lemma zenon_L215_ *) % 42.98/43.22 assert (zenon_L216_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2e3 zenon_H22a zenon_H2ea zenon_H2eb zenon_H2d6 zenon_H2e6 zenon_H2de zenon_H2ee zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ]. % 42.98/43.22 apply (zenon_L215_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ]. % 42.98/43.22 exact (zenon_H226 zenon_H228). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ]. % 42.98/43.22 apply (zenon_L209_); trivial. % 42.98/43.22 apply (zenon_L181_); trivial. % 42.98/43.22 (* end of lemma zenon_L216_ *) % 42.98/43.22 assert (zenon_L217_ : (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2f1 zenon_H282 zenon_H2e9. % 42.98/43.22 cut (((op2 (e22) (e21)) = (e22)) = ((e21) = (e22))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2f1. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H282. % 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.22 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2f2]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H2f2 zenon_H2e9). % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L217_ *) % 42.98/43.22 assert (zenon_L218_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2f3 zenon_H26e zenon_H226 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2d6 zenon_H2eb zenon_H22a zenon_H2e3 zenon_H282 zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 42.98/43.22 apply (zenon_L216_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 42.98/43.22 apply (zenon_L217_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 42.98/43.22 apply (zenon_L209_); trivial. % 42.98/43.22 apply (zenon_L189_); trivial. % 42.98/43.22 (* end of lemma zenon_L218_ *) % 42.98/43.22 assert (zenon_L219_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H2f3 zenon_H26e zenon_H226 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2d6 zenon_H2eb zenon_H22a zenon_H2e3 zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.22 apply (zenon_L218_); trivial. % 42.98/43.22 (* end of lemma zenon_L219_ *) % 42.98/43.22 assert (zenon_L220_ : (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2f6 zenon_H2d6 zenon_H2f7. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2f6. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d6. % 42.98/43.22 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H2d9. apply refl_equal. % 42.98/43.22 apply zenon_H2f8. apply sym_equal. exact zenon_H2f7. % 42.98/43.22 (* end of lemma zenon_L220_ *) % 42.98/43.22 assert (zenon_L221_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2f9 zenon_H22b zenon_H233 zenon_H33. % 42.98/43.22 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2f9. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H22b. % 42.98/43.22 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H229]. % 42.98/43.22 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2fa]. % 42.98/43.22 congruence. % 42.98/43.22 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2fc ]. % 42.98/43.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2fa. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2fb. % 42.98/43.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2fc]. % 42.98/43.22 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H2fd zenon_H233). % 42.98/43.22 apply zenon_H2fc. apply refl_equal. % 42.98/43.22 apply zenon_H2fc. apply refl_equal. % 42.98/43.22 apply (zenon_L162_); trivial. % 42.98/43.22 (* end of lemma zenon_L221_ *) % 42.98/43.22 assert (zenon_L222_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2fe zenon_H23c zenon_H2ff. % 42.98/43.22 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2fe. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H23c. % 42.98/43.22 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H300]. % 42.98/43.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H238. apply refl_equal. % 42.98/43.22 apply zenon_H300. apply sym_equal. exact zenon_H2ff. % 42.98/43.22 (* end of lemma zenon_L222_ *) % 42.98/43.22 assert (zenon_L223_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H301 zenon_H2d6 zenon_H2f6 zenon_H33 zenon_H22b zenon_H2f9 zenon_H23c zenon_H2fe zenon_H25d zenon_H92. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H302 ]. % 42.98/43.22 apply (zenon_L220_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H233 | zenon_intro zenon_H303 ]. % 42.98/43.22 apply (zenon_L221_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2ff | zenon_intro zenon_H25e ]. % 42.98/43.22 apply (zenon_L222_); trivial. % 42.98/43.22 apply (zenon_L177_); trivial. % 42.98/43.22 (* end of lemma zenon_L223_ *) % 42.98/43.22 assert (zenon_L224_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H92 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H22b zenon_H2f6 zenon_H2d6 zenon_H301 zenon_H23e zenon_H33. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H235 | zenon_intro zenon_H243 ]. % 42.98/43.22 apply (zenon_L165_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H228 | zenon_intro zenon_H244 ]. % 42.98/43.22 exact (zenon_H226 zenon_H228). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ]. % 42.98/43.22 apply (zenon_L223_); trivial. % 42.98/43.22 apply (zenon_L167_); trivial. % 42.98/43.22 (* end of lemma zenon_L224_ *) % 42.98/43.22 assert (zenon_L225_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2f1 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H288 zenon_H23e zenon_H301 zenon_H2d6 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H226 zenon_H234 zenon_H2c zenon_H242 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.22 apply (zenon_L4_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.22 apply (zenon_L207_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.22 apply (zenon_L154_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.22 apply (zenon_L156_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.22 apply (zenon_L211_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.22 apply (zenon_L213_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.22 apply (zenon_L161_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.22 apply (zenon_L164_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.22 apply (zenon_L169_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.22 apply (zenon_L219_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.22 apply (zenon_L198_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.22 apply (zenon_L199_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_L224_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.22 apply (zenon_L202_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.22 apply (zenon_L203_); trivial. % 42.98/43.22 apply (zenon_L204_); trivial. % 42.98/43.22 (* end of lemma zenon_L225_ *) % 42.98/43.22 assert (zenon_L226_ : (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e20)) = (e20)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H304 zenon_H25a zenon_H14. % 42.98/43.22 cut (((op2 (e20) (e20)) = (e22)) = ((e20) = (e22))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H304. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H25a. % 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.22 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H15 zenon_H14). % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L226_ *) % 42.98/43.22 assert (zenon_L227_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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)))))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e22)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H1a zenon_H304 zenon_H25a. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H14. zenon_intro zenon_H1b. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H14. zenon_intro zenon_H1c. % 42.98/43.22 apply (zenon_L226_); trivial. % 42.98/43.22 (* end of lemma zenon_L227_ *) % 42.98/43.22 assert (zenon_L228_ : (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H21f zenon_H2d6 zenon_H216. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (e21) (op2 (e21) (e20))) = (e20))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H21f. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d6. % 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H305]. % 42.98/43.22 congruence. % 42.98/43.22 elim (classic ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [ zenon_intro zenon_H306 | zenon_intro zenon_H307 ]. % 42.98/43.22 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e20))))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H305. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H306. % 42.98/43.22 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 42.98/43.22 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H308]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H217. apply refl_equal. % 42.98/43.22 exact (zenon_H214 zenon_H216). % 42.98/43.22 apply zenon_H307. apply refl_equal. % 42.98/43.22 apply zenon_H307. apply refl_equal. % 42.98/43.22 apply zenon_H12. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L228_ *) % 42.98/43.22 assert (zenon_L229_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e20)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H213 zenon_H2d6. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H2dd. zenon_intro zenon_H21d. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e. % 42.98/43.22 apply (zenon_L228_); trivial. % 42.98/43.22 (* end of lemma zenon_L229_ *) % 42.98/43.22 assert (zenon_L230_ : (~((e21) = (e22))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e20)) = (e21)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2f1 zenon_H25a zenon_H309. % 42.98/43.22 cut (((op2 (e20) (e20)) = (e22)) = ((e21) = (e22))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2f1. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H25a. % 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.22 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H30a]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H30a zenon_H309). % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L230_ *) % 42.98/43.22 assert (zenon_L231_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H225 zenon_H30b zenon_H25a zenon_H2f1 zenon_H2d6 zenon_H2eb zenon_H26a zenon_H22b zenon_H33. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H2e9. zenon_intro zenon_H21d. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H309 | zenon_intro zenon_H30c ]. % 42.98/43.22 apply (zenon_L230_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H216 | zenon_intro zenon_H30d ]. % 42.98/43.22 apply (zenon_L228_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2ea | zenon_intro zenon_H26b ]. % 42.98/43.22 apply (zenon_L214_); trivial. % 42.98/43.22 apply (zenon_L180_); trivial. % 42.98/43.22 (* end of lemma zenon_L231_ *) % 42.98/43.22 assert (zenon_L232_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H245 zenon_H30e zenon_H25a. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246. % 42.98/43.22 cut (((op2 (e20) (e20)) = (e22)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H30e. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H25a. % 42.98/43.22 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 42.98/43.22 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H8e. apply refl_equal. % 42.98/43.22 apply zenon_H30f. apply sym_equal. exact zenon_H247. % 42.98/43.22 (* end of lemma zenon_L232_ *) % 42.98/43.22 assert (zenon_L233_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H310. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.22 exact (zenon_H310 zenon_H282). % 42.98/43.22 (* end of lemma zenon_L233_ *) % 42.98/43.22 assert (zenon_L234_ : ((op2 (e20) (e23)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H92 zenon_H7f zenon_H311. % 42.98/43.22 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H311. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H94. % 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H312]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H312. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H92. % 42.98/43.22 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H313]. % 42.98/43.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 42.98/43.22 congruence. % 42.98/43.22 apply zenon_H95. apply refl_equal. % 42.98/43.22 apply zenon_H313. apply sym_equal. exact zenon_H7f. % 42.98/43.22 apply zenon_H95. apply refl_equal. % 42.98/43.22 apply zenon_H95. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L234_ *) % 42.98/43.22 assert (zenon_L235_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e23)) -> (~((e20) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H314 zenon_H80. % 42.98/43.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ]. % 42.98/43.22 cut (((e23) = (e23)) = ((e20) = (e23))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H80. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H81. % 42.98/43.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H82]. % 42.98/43.22 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((e23) = (e20))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H83. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d6. % 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H315]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H315 zenon_H314). % 42.98/43.22 apply zenon_H12. apply refl_equal. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 apply zenon_H82. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L235_ *) % 42.98/43.22 assert (zenon_L236_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e22) (e21)) = (e23)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H316 zenon_H33 zenon_H317. % 42.98/43.22 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H316. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H33. % 42.98/43.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 42.98/43.22 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H318]. % 42.98/43.22 congruence. % 42.98/43.22 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ]. % 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H318. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H284. % 42.98/43.22 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.22 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H319]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H319 zenon_H317). % 42.98/43.22 apply zenon_H285. apply refl_equal. % 42.98/43.22 apply zenon_H285. apply refl_equal. % 42.98/43.22 apply zenon_H87. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L236_ *) % 42.98/43.22 assert (zenon_L237_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e23)) = (e22)) -> (~((e21) = (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H274 zenon_H31a zenon_H2f1. % 42.98/43.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H31b | zenon_intro zenon_H201 ]. % 42.98/43.22 cut (((e22) = (e22)) = ((e21) = (e22))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H2f1. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H31b. % 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.22 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e23) (e23)) = (e21)) = ((e22) = (e21))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H31c. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H274. % 42.98/43.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.22 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H31d]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H31d zenon_H31a). % 42.98/43.22 apply zenon_H217. apply refl_equal. % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L237_ *) % 42.98/43.22 assert (zenon_L238_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2a5 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H33 zenon_H274 zenon_H2f1. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H25b | zenon_intro zenon_H31f ]. % 42.98/43.22 apply (zenon_L176_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H2ff | zenon_intro zenon_H320 ]. % 42.98/43.22 apply (zenon_L222_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H295 | zenon_intro zenon_H31a ]. % 42.98/43.22 apply (zenon_L191_); trivial. % 42.98/43.22 apply (zenon_L237_); trivial. % 42.98/43.22 (* end of lemma zenon_L238_ *) % 42.98/43.22 assert (zenon_L239_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (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) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2b3 zenon_H321 zenon_H311 zenon_H80 zenon_H2d6 zenon_H33 zenon_H316 zenon_H274. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H7f | zenon_intro zenon_H322 ]. % 42.98/43.22 apply (zenon_L234_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H314 | zenon_intro zenon_H323 ]. % 42.98/43.22 apply (zenon_L235_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H317 | zenon_intro zenon_H2b6 ]. % 42.98/43.22 apply (zenon_L236_); trivial. % 42.98/43.22 apply (zenon_L201_); trivial. % 42.98/43.22 (* end of lemma zenon_L239_ *) % 42.98/43.22 assert (zenon_L240_ : (((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e23)) = (e21)) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2bc zenon_H274. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b6. zenon_intro zenon_H2bd. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H25e. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1. % 42.98/43.22 apply (zenon_L201_); trivial. % 42.98/43.22 (* end of lemma zenon_L240_ *) % 42.98/43.22 assert (zenon_L241_ : (((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2c5 zenon_H274 zenon_H276. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H275. zenon_intro zenon_H2c6. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H275. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_L182_); trivial. % 42.98/43.22 (* end of lemma zenon_L241_ *) % 42.98/43.22 assert (zenon_L242_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H33 zenon_H274 zenon_H276. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.22 apply (zenon_L4_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.22 apply (zenon_L207_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.22 apply (zenon_L154_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.22 apply (zenon_L156_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.22 apply (zenon_L229_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.22 apply (zenon_L213_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.22 apply (zenon_L231_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.22 apply (zenon_L164_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.22 apply (zenon_L232_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.22 apply (zenon_L238_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.22 apply (zenon_L198_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.22 apply (zenon_L199_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.22 apply (zenon_L239_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.22 apply (zenon_L240_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.22 apply (zenon_L203_); trivial. % 42.98/43.22 apply (zenon_L241_); trivial. % 42.98/43.22 (* end of lemma zenon_L242_ *) % 42.98/43.22 assert (zenon_L243_ : ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e23))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H324 zenon_H26e zenon_H279 zenon_H310 zenon_H304 zenon_H21a zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H33 zenon_H276. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H2bb | zenon_intro zenon_H325 ]. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.22 apply (zenon_L227_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.22 apply (zenon_L207_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.22 apply (zenon_L154_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.22 apply (zenon_L156_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.22 apply (zenon_L229_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.22 apply (zenon_L160_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.22 apply (zenon_L231_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.22 apply (zenon_L164_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.22 apply (zenon_L232_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.22 apply (zenon_L233_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.22 apply (zenon_L198_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.22 apply (zenon_L199_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4. % 42.98/43.22 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H7f | zenon_intro zenon_H322 ]. % 42.98/43.22 apply (zenon_L234_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H314 | zenon_intro zenon_H323 ]. % 42.98/43.22 apply (zenon_L235_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H317 | zenon_intro zenon_H2b6 ]. % 42.98/43.22 apply (zenon_L236_); trivial. % 42.98/43.22 exact (zenon_H2bb zenon_H2b6). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.22 apply (zenon_L202_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.22 apply (zenon_L203_); trivial. % 42.98/43.22 apply (zenon_L204_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 42.98/43.22 apply (zenon_L230_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 42.98/43.22 exact (zenon_H21a zenon_H219). % 42.98/43.22 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 42.98/43.22 apply (zenon_L209_); trivial. % 42.98/43.22 apply (zenon_L242_); trivial. % 42.98/43.22 (* end of lemma zenon_L243_ *) % 42.98/43.22 assert (zenon_L244_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H2d6 zenon_H328 zenon_H304. % 42.98/43.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H31b | zenon_intro zenon_H201 ]. % 42.98/43.22 cut (((e22) = (e22)) = ((e20) = (e22))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H304. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H31b. % 42.98/43.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.22 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H329]. % 42.98/43.22 congruence. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e20)) = ((e22) = (e20))). % 42.98/43.22 intro zenon_D_pnotp. % 42.98/43.22 apply zenon_H329. % 42.98/43.22 rewrite <- zenon_D_pnotp. % 42.98/43.22 exact zenon_H2d6. % 42.98/43.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.22 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H32a]. % 42.98/43.22 congruence. % 42.98/43.22 exact (zenon_H32a zenon_H328). % 42.98/43.22 apply zenon_H12. apply refl_equal. % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 apply zenon_H201. apply refl_equal. % 42.98/43.22 (* end of lemma zenon_L244_ *) % 42.98/43.22 assert (zenon_L245_ : (((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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((e21) = (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H31a zenon_H2f1. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 42.98/43.22 apply (zenon_L180_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 42.98/43.22 apply (zenon_L163_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 42.98/43.22 apply (zenon_L181_); trivial. % 42.98/43.22 apply (zenon_L237_); trivial. % 42.98/43.22 (* end of lemma zenon_L245_ *) % 42.98/43.22 assert (zenon_L246_ : ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.22 do 0 intro. intros zenon_H32b zenon_H276 zenon_H264 zenon_H242 zenon_H2c zenon_H234 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H309 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.22 apply (zenon_L225_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.22 apply (zenon_L230_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.22 apply (zenon_L244_); trivial. % 42.98/43.22 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.22 apply (zenon_L197_); trivial. % 42.98/43.22 apply (zenon_L245_); trivial. % 42.98/43.22 (* end of lemma zenon_L246_ *) % 42.98/43.22 assert (zenon_L247_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23e zenon_H23a zenon_H234 zenon_H2c zenon_H242 zenon_H290 zenon_H2f1 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H226 zenon_H2f3 zenon_H288 zenon_H274 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.23 apply (zenon_L4_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.23 apply (zenon_L207_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.23 apply (zenon_L154_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.23 apply (zenon_L156_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.23 apply (zenon_L211_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.23 apply (zenon_L160_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.23 apply (zenon_L161_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.23 apply (zenon_L164_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.23 apply (zenon_L169_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.23 apply (zenon_L219_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.23 apply (zenon_L198_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.23 apply (zenon_L199_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.23 apply (zenon_L239_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.23 apply (zenon_L202_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.23 apply (zenon_L203_); trivial. % 42.98/43.23 apply (zenon_L204_); trivial. % 42.98/43.23 (* end of lemma zenon_L247_ *) % 42.98/43.23 assert (zenon_L248_ : ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H274 zenon_H264 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H2c zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.23 apply (zenon_L247_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.23 apply (zenon_L242_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.23 apply (zenon_L244_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.23 apply (zenon_L197_); trivial. % 42.98/43.23 apply (zenon_L245_); trivial. % 42.98/43.23 (* end of lemma zenon_L248_ *) % 42.98/43.23 assert (zenon_L249_ : ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((op2 (e20) (e20)) = (e22)) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H32f zenon_H25a zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H21a zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H2c zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ]. % 42.98/43.23 apply (zenon_L243_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 42.98/43.23 apply (zenon_L246_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 42.98/43.23 exact (zenon_H21a zenon_H219). % 42.98/43.23 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 42.98/43.23 apply (zenon_L209_); trivial. % 42.98/43.23 apply (zenon_L248_); trivial. % 42.98/43.23 (* end of lemma zenon_L249_ *) % 42.98/43.23 assert (zenon_L250_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H21a zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.23 apply (zenon_L225_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.23 apply (zenon_L249_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.23 apply (zenon_L244_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.23 apply (zenon_L197_); trivial. % 42.98/43.23 apply (zenon_L245_); trivial. % 42.98/43.23 (* end of lemma zenon_L250_ *) % 42.98/43.23 assert (zenon_L251_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H2c zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H2d6 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 42.98/43.23 apply (zenon_L250_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 42.98/43.23 apply (zenon_L246_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 42.98/43.23 apply (zenon_L212_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 42.98/43.23 apply (zenon_L209_); trivial. % 42.98/43.23 apply (zenon_L248_); trivial. % 42.98/43.23 (* end of lemma zenon_L251_ *) % 42.98/43.23 assert (zenon_L252_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H2c zenon_H331 zenon_H33 zenon_H26e. % 42.98/43.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H332 | zenon_intro zenon_H333 ]. % 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 42.98/43.23 intro zenon_D_pnotp. % 42.98/43.23 apply zenon_H26e. % 42.98/43.23 rewrite <- zenon_D_pnotp. % 42.98/43.23 exact zenon_H332. % 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H334]. % 42.98/43.23 congruence. % 42.98/43.23 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e23) (e23)) = (op2 (e23) (e22)))). % 42.98/43.23 intro zenon_D_pnotp. % 42.98/43.23 apply zenon_H334. % 42.98/43.23 rewrite <- zenon_D_pnotp. % 42.98/43.23 exact zenon_H2c. % 42.98/43.23 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 42.98/43.23 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H335]. % 42.98/43.23 congruence. % 42.98/43.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H332 | zenon_intro zenon_H333 ]. % 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e20) = (op2 (e23) (e23)))). % 42.98/43.23 intro zenon_D_pnotp. % 42.98/43.23 apply zenon_H335. % 42.98/43.23 rewrite <- zenon_D_pnotp. % 42.98/43.23 exact zenon_H332. % 42.98/43.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H333]. % 42.98/43.23 cut (((op2 (e23) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H336]. % 42.98/43.23 congruence. % 42.98/43.23 exact (zenon_H336 zenon_H331). % 42.98/43.23 apply zenon_H333. apply refl_equal. % 42.98/43.23 apply zenon_H333. apply refl_equal. % 42.98/43.23 apply (zenon_L152_); trivial. % 42.98/43.23 apply zenon_H333. apply refl_equal. % 42.98/43.23 apply zenon_H333. apply refl_equal. % 42.98/43.23 (* end of lemma zenon_L252_ *) % 42.98/43.23 assert (zenon_L253_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H1fd zenon_Ha8 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_H25a zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H33 zenon_H9c zenon_Ha3. % 42.98/43.23 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 42.98/43.23 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 42.98/43.23 apply (zenon_L184_); trivial. % 42.98/43.23 (* end of lemma zenon_L253_ *) % 42.98/43.23 assert (zenon_L254_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H30b zenon_H25a zenon_H2f1 zenon_H214 zenon_H2eb zenon_H2e9 zenon_H26a zenon_H22b zenon_H33. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H309 | zenon_intro zenon_H30c ]. % 42.98/43.23 apply (zenon_L230_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H216 | zenon_intro zenon_H30d ]. % 42.98/43.23 exact (zenon_H214 zenon_H216). % 42.98/43.23 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2ea | zenon_intro zenon_H26b ]. % 42.98/43.23 apply (zenon_L214_); trivial. % 42.98/43.23 apply (zenon_L180_); trivial. % 42.98/43.23 (* end of lemma zenon_L254_ *) % 42.98/43.23 assert (zenon_L255_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H225 zenon_H30b zenon_H25a zenon_H2f1 zenon_H214 zenon_H2eb zenon_H26a zenon_H22b zenon_H33. % 42.98/43.23 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227. % 42.98/43.23 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H2e9. zenon_intro zenon_H21d. % 42.98/43.23 apply (zenon_L254_); trivial. % 42.98/43.23 (* end of lemma zenon_L255_ *) % 42.98/43.23 assert (zenon_L256_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e21) (e21)) = (e21))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H337 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H21a zenon_H304 zenon_H310 zenon_H279 zenon_H324 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.23 apply (zenon_L227_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.23 apply (zenon_L253_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.23 apply (zenon_L154_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.23 apply (zenon_L156_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.23 apply (zenon_L157_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.23 apply (zenon_L160_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.23 apply (zenon_L255_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.23 apply (zenon_L164_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.23 apply (zenon_L232_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.23 apply (zenon_L233_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.23 apply (zenon_L198_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.23 apply (zenon_L199_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.23 apply (zenon_L200_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.23 apply (zenon_L202_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.23 apply (zenon_L203_); trivial. % 42.98/43.23 apply (zenon_L204_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.23 exact (zenon_H15 zenon_H14). % 42.98/43.23 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.23 apply (zenon_L243_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.23 apply (zenon_L173_); trivial. % 42.98/43.23 apply (zenon_L252_); trivial. % 42.98/43.23 (* end of lemma zenon_L256_ *) % 42.98/43.23 assert (zenon_L257_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H9c zenon_H80 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_H279 zenon_H26e zenon_Ha8 zenon_H204 zenon_H2c zenon_H20a zenon_H26a zenon_H2eb zenon_H214 zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_Ha3 zenon_H264 zenon_H33 zenon_H274 zenon_H276. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.23 apply (zenon_L227_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.23 apply (zenon_L253_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.23 apply (zenon_L154_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.23 apply (zenon_L156_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.23 apply (zenon_L157_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.23 apply (zenon_L160_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.23 apply (zenon_L255_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.23 apply (zenon_L164_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.23 apply (zenon_L232_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.23 apply (zenon_L238_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.23 apply (zenon_L198_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.23 apply (zenon_L199_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.23 apply (zenon_L200_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.23 apply (zenon_L240_); trivial. % 42.98/43.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.23 apply (zenon_L203_); trivial. % 42.98/43.23 apply (zenon_L241_); trivial. % 42.98/43.23 (* end of lemma zenon_L257_ *) % 42.98/43.23 assert (zenon_L258_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e23))) -> False). % 42.98/43.23 do 0 intro. intros zenon_H330 zenon_H26e zenon_H279 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H2c zenon_H20a zenon_H2e6 zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H2d6 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H33 zenon_H276. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 42.98/43.24 apply (zenon_L249_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 42.98/43.24 apply (zenon_L230_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 42.98/43.24 apply (zenon_L212_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 42.98/43.24 apply (zenon_L209_); trivial. % 42.98/43.24 apply (zenon_L242_); trivial. % 42.98/43.24 (* end of lemma zenon_L258_ *) % 42.98/43.24 assert (zenon_L259_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H337 zenon_H274 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.24 apply (zenon_L257_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.24 apply (zenon_L258_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_L252_); trivial. % 42.98/43.24 (* end of lemma zenon_L259_ *) % 42.98/43.24 assert (zenon_L260_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H274 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 42.98/43.24 apply (zenon_L259_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.24 apply (zenon_L258_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_L252_); trivial. % 42.98/43.24 (* end of lemma zenon_L260_ *) % 42.98/43.24 assert (zenon_L261_ : (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H214 zenon_H21a zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ]. % 42.98/43.24 apply (zenon_L256_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 42.98/43.24 apply (zenon_L230_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 42.98/43.24 exact (zenon_H21a zenon_H219). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 42.98/43.24 apply (zenon_L209_); trivial. % 42.98/43.24 apply (zenon_L260_); trivial. % 42.98/43.24 (* end of lemma zenon_L261_ *) % 42.98/43.24 assert (zenon_L262_ : ((op2 (e21) (e21)) = (e22)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H328 zenon_H283 zenon_H2d7. % 42.98/43.24 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H2d8 | zenon_intro zenon_H2d9 ]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H2d7. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H2d8. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2da]. % 42.98/43.24 congruence. % 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H2da. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H328. % 42.98/43.24 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H2d9. apply refl_equal. % 42.98/43.24 apply zenon_H287. apply sym_equal. exact zenon_H283. % 42.98/43.24 apply zenon_H2d9. apply refl_equal. % 42.98/43.24 apply zenon_H2d9. apply refl_equal. % 42.98/43.24 (* end of lemma zenon_L262_ *) % 42.98/43.24 assert (zenon_L263_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H33c zenon_H99 zenon_H2f7. % 42.98/43.24 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H33c. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H99. % 42.98/43.24 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 42.98/43.24 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H24c. apply refl_equal. % 42.98/43.24 apply zenon_H2f8. apply sym_equal. exact zenon_H2f7. % 42.98/43.24 (* end of lemma zenon_L263_ *) % 42.98/43.24 assert (zenon_L264_ : (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2f6 zenon_H328 zenon_H2ff. % 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H2f6. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H328. % 42.98/43.24 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H300]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H2d9. apply refl_equal. % 42.98/43.24 apply zenon_H300. apply sym_equal. exact zenon_H2ff. % 42.98/43.24 (* end of lemma zenon_L264_ *) % 42.98/43.24 assert (zenon_L265_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H301 zenon_H99 zenon_H33c zenon_H33 zenon_H22b zenon_H2f9 zenon_H328 zenon_H2f6 zenon_H25d zenon_H92. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H301); [ zenon_intro zenon_H2f7 | zenon_intro zenon_H302 ]. % 42.98/43.24 apply (zenon_L263_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H233 | zenon_intro zenon_H303 ]. % 42.98/43.24 apply (zenon_L221_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2ff | zenon_intro zenon_H25e ]. % 42.98/43.24 apply (zenon_L264_); trivial. % 42.98/43.24 apply (zenon_L177_); trivial. % 42.98/43.24 (* end of lemma zenon_L265_ *) % 42.98/43.24 assert (zenon_L266_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H33d zenon_H23b zenon_H25b. % 42.98/43.24 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H33d. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H23b. % 42.98/43.24 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 42.98/43.24 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H8a. apply refl_equal. % 42.98/43.24 apply zenon_H25c. apply sym_equal. exact zenon_H25b. % 42.98/43.24 (* end of lemma zenon_L266_ *) % 42.98/43.24 assert (zenon_L267_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H33 zenon_H22b zenon_H256 zenon_H23b zenon_H33d zenon_H25d zenon_H25e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ]. % 42.98/43.24 apply (zenon_L174_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ]. % 42.98/43.24 apply (zenon_L175_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ]. % 42.98/43.24 apply (zenon_L266_); trivial. % 42.98/43.24 apply (zenon_L177_); trivial. % 42.98/43.24 (* end of lemma zenon_L267_ *) % 42.98/43.24 assert (zenon_L268_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H27c zenon_H2f6 zenon_H328 zenon_H2f9 zenon_H33c zenon_H99 zenon_H301 zenon_H25d zenon_H33d zenon_H23b zenon_H256 zenon_H253 zenon_H254 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ]. % 42.98/43.24 apply (zenon_L265_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ]. % 42.98/43.24 apply (zenon_L267_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ]. % 42.98/43.24 apply (zenon_L179_); trivial. % 42.98/43.24 apply (zenon_L183_); trivial. % 42.98/43.24 (* end of lemma zenon_L268_ *) % 42.98/43.24 assert (zenon_L269_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H80 zenon_H27c zenon_H2f6 zenon_H328 zenon_H2f9 zenon_H33c zenon_H99 zenon_H301 zenon_H25d zenon_H33d zenon_H23b zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 42.98/43.24 apply (zenon_L170_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 42.98/43.24 apply (zenon_L171_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_L268_); trivial. % 42.98/43.24 (* end of lemma zenon_L269_ *) % 42.98/43.24 assert (zenon_L270_ : (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e21)) = (e21)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2f1 zenon_H328 zenon_H219. % 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((e21) = (e22))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H2f1. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H328. % 42.98/43.24 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 42.98/43.24 congruence. % 42.98/43.24 exact (zenon_H21a zenon_H219). % 42.98/43.24 apply zenon_H201. apply refl_equal. % 42.98/43.24 (* end of lemma zenon_L270_ *) % 42.98/43.24 assert (zenon_L271_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2ee zenon_H2de zenon_H2dc zenon_H328 zenon_H2f1 zenon_H2eb zenon_H2ea zenon_H22a zenon_H22b zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ]. % 42.98/43.24 apply (zenon_L208_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ]. % 42.98/43.24 apply (zenon_L270_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ]. % 42.98/43.24 apply (zenon_L214_); trivial. % 42.98/43.24 apply (zenon_L163_); trivial. % 42.98/43.24 (* end of lemma zenon_L271_ *) % 42.98/43.24 assert (zenon_L272_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H33e zenon_H2c zenon_H204 zenon_H22b zenon_H22a zenon_H2ea zenon_H2eb zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H23c zenon_H23a zenon_H85 zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H205 | zenon_intro zenon_H33f ]. % 42.98/43.24 apply (zenon_L153_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H2dc | zenon_intro zenon_H340 ]. % 42.98/43.24 apply (zenon_L271_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H23b | zenon_intro zenon_H86 ]. % 42.98/43.24 apply (zenon_L166_); trivial. % 42.98/43.24 apply (zenon_L26_); trivial. % 42.98/43.24 (* end of lemma zenon_L272_ *) % 42.98/43.24 assert (zenon_L273_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H204 zenon_H23b zenon_H2b2. % 42.98/43.24 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H204. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H23b. % 42.98/43.24 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 42.98/43.24 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H8a. apply refl_equal. % 42.98/43.24 apply zenon_H341. apply sym_equal. exact zenon_H2b2. % 42.98/43.24 (* end of lemma zenon_L273_ *) % 42.98/43.24 assert (zenon_L274_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H33e zenon_H2c zenon_H22b zenon_H22a zenon_H2ea zenon_H2eb zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H2b2 zenon_H204 zenon_H85 zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H205 | zenon_intro zenon_H33f ]. % 42.98/43.24 apply (zenon_L153_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33f); [ zenon_intro zenon_H2dc | zenon_intro zenon_H340 ]. % 42.98/43.24 apply (zenon_L271_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H23b | zenon_intro zenon_H86 ]. % 42.98/43.24 apply (zenon_L273_); trivial. % 42.98/43.24 apply (zenon_L26_); trivial. % 42.98/43.24 (* end of lemma zenon_L274_ *) % 42.98/43.24 assert (zenon_L275_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H342 zenon_H25b zenon_H33d zenon_H23a zenon_H288 zenon_H33e zenon_H2c zenon_H22b zenon_H22a zenon_H2ea zenon_H2eb zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H204 zenon_H85 zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ]. % 42.98/43.24 apply (zenon_L266_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ]. % 42.98/43.24 apply (zenon_L272_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ]. % 42.98/43.24 apply (zenon_L197_); trivial. % 42.98/43.24 apply (zenon_L274_); trivial. % 42.98/43.24 (* end of lemma zenon_L275_ *) % 42.98/43.24 assert (zenon_L276_ : ((op2 (e22) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2e9 zenon_H2dd zenon_H24d. % 42.98/43.24 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ]. % 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H24d. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H284. % 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 42.98/43.24 congruence. % 42.98/43.24 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H286. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H2e9. % 42.98/43.24 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 42.98/43.24 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H285. apply refl_equal. % 42.98/43.24 apply zenon_H2e0. apply sym_equal. exact zenon_H2dd. % 42.98/43.24 apply zenon_H285. apply refl_equal. % 42.98/43.24 apply zenon_H285. apply refl_equal. % 42.98/43.24 (* end of lemma zenon_L276_ *) % 42.98/43.24 assert (zenon_L277_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2f3 zenon_H85 zenon_H204 zenon_H2ee zenon_H2de zenon_H328 zenon_H2f1 zenon_H2eb zenon_H22a zenon_H2c zenon_H33e zenon_H288 zenon_H23a zenon_H33d zenon_H25b zenon_H342 zenon_H24d zenon_H2dd zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 42.98/43.24 apply (zenon_L275_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 42.98/43.24 apply (zenon_L276_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 42.98/43.24 apply (zenon_L209_); trivial. % 42.98/43.24 apply (zenon_L189_); trivial. % 42.98/43.24 (* end of lemma zenon_L277_ *) % 42.98/43.24 assert (zenon_L278_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H345 zenon_H99 zenon_H249 zenon_H2eb zenon_H2e9 zenon_H346 zenon_H9c zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H24a | zenon_intro zenon_H347 ]. % 42.98/43.24 apply (zenon_L170_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H2ea | zenon_intro zenon_H348 ]. % 42.98/43.24 apply (zenon_L214_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H247 | zenon_intro zenon_H9d ]. % 42.98/43.24 exact (zenon_H346 zenon_H247). % 42.98/43.24 apply (zenon_L30_); trivial. % 42.98/43.24 (* end of lemma zenon_L278_ *) % 42.98/43.24 assert (zenon_L279_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2ee zenon_H2de zenon_H2dc zenon_H328 zenon_H2f1 zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H22a zenon_H22b zenon_H33. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ]. % 42.98/43.24 apply (zenon_L208_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ]. % 42.98/43.24 apply (zenon_L270_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ]. % 42.98/43.24 apply (zenon_L278_); trivial. % 42.98/43.24 apply (zenon_L163_); trivial. % 42.98/43.24 (* end of lemma zenon_L279_ *) % 42.98/43.24 assert (zenon_L280_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H1fd zenon_H349 zenon_H26a zenon_H27d zenon_H24d zenon_H80 zenon_H342 zenon_H276 zenon_H26e zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H33d zenon_H25d zenon_H301 zenon_H33c zenon_H2f9 zenon_H2f6 zenon_H27c zenon_H23a zenon_H288 zenon_H33e zenon_H2c zenon_H204 zenon_H85 zenon_H214 zenon_H29d zenon_H2d7 zenon_H2f3 zenon_H290 zenon_H30b zenon_H22a zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H2f1 zenon_H328 zenon_H2de zenon_H2ee zenon_H256 zenon_H22b zenon_H33. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H309 | zenon_intro zenon_H34a ]. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 42.98/43.24 apply (zenon_L230_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 42.98/43.24 apply (zenon_L262_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 42.98/43.24 apply (zenon_L269_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2ef ]. % 42.98/43.24 apply (zenon_L277_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H219 | zenon_intro zenon_H2f0 ]. % 42.98/43.24 apply (zenon_L270_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H22c ]. % 42.98/43.24 apply (zenon_L278_); trivial. % 42.98/43.24 apply (zenon_L163_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H2dd | zenon_intro zenon_H34b ]. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H309 | zenon_intro zenon_H30c ]. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 42.98/43.24 apply (zenon_L230_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 42.98/43.24 apply (zenon_L262_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 42.98/43.24 apply (zenon_L269_); trivial. % 42.98/43.24 apply (zenon_L277_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H216 | zenon_intro zenon_H30d ]. % 42.98/43.24 exact (zenon_H214 zenon_H216). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2ea | zenon_intro zenon_H26b ]. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 42.98/43.24 apply (zenon_L170_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 42.98/43.24 apply (zenon_L171_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ]. % 42.98/43.24 apply (zenon_L268_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ]. % 42.98/43.24 apply (zenon_L272_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ]. % 42.98/43.24 apply (zenon_L197_); trivial. % 42.98/43.24 apply (zenon_L274_); trivial. % 42.98/43.24 apply (zenon_L180_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H2dc | zenon_intro zenon_H257 ]. % 42.98/43.24 apply (zenon_L279_); trivial. % 42.98/43.24 apply (zenon_L175_); trivial. % 42.98/43.24 (* end of lemma zenon_L280_ *) % 42.98/43.24 assert (zenon_L281_ : (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H34c zenon_H328 zenon_H228. % 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (op2 (e21) (e22))) = (e22))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H34c. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H328. % 42.98/43.24 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H34d]. % 42.98/43.24 congruence. % 42.98/43.24 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H34e | zenon_intro zenon_H34f ]. % 42.98/43.24 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e22))))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H34d. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H34e. % 42.98/43.24 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H34f]. % 42.98/43.24 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H350]. % 42.98/43.24 congruence. % 42.98/43.24 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H226]. % 42.98/43.24 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H217]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H217. apply refl_equal. % 42.98/43.24 exact (zenon_H226 zenon_H228). % 42.98/43.24 apply zenon_H34f. apply refl_equal. % 42.98/43.24 apply zenon_H34f. apply refl_equal. % 42.98/43.24 apply zenon_H201. apply refl_equal. % 42.98/43.24 (* end of lemma zenon_L281_ *) % 42.98/43.24 assert (zenon_L282_ : (((op2 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H213 zenon_H2f3 zenon_H26e zenon_H328 zenon_H2ee zenon_H2de zenon_H2f1 zenon_H2eb zenon_H22a zenon_H2e3 zenon_H24d zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H216. zenon_intro zenon_H215. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H2dd. zenon_intro zenon_H21d. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H221. zenon_intro zenon_H220. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H34c. zenon_intro zenon_H351. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ]. % 42.98/43.24 apply (zenon_L271_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ]. % 42.98/43.24 apply (zenon_L281_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ]. % 42.98/43.24 apply (zenon_L209_); trivial. % 42.98/43.24 apply (zenon_L181_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 42.98/43.24 apply (zenon_L276_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 42.98/43.24 apply (zenon_L209_); trivial. % 42.98/43.24 apply (zenon_L189_); trivial. % 42.98/43.24 (* end of lemma zenon_L282_ *) % 42.98/43.24 assert (zenon_L283_ : (((op2 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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)))))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H21b zenon_H2f1 zenon_H328. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H219. zenon_intro zenon_H21c. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H219. zenon_intro zenon_H21d. % 42.98/43.24 apply (zenon_L270_); trivial. % 42.98/43.24 (* end of lemma zenon_L283_ *) % 42.98/43.24 assert (zenon_L284_ : (((op2 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e21)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H225 zenon_H328. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H228. zenon_intro zenon_H227. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H2e9. zenon_intro zenon_H21d. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H21f. zenon_intro zenon_H21e. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H221. zenon_intro zenon_H220. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H34c. zenon_intro zenon_H351. % 42.98/43.24 apply (zenon_L281_); trivial. % 42.98/43.24 (* end of lemma zenon_L284_ *) % 42.98/43.24 assert (zenon_L285_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H31e zenon_H23b zenon_H33d zenon_H328 zenon_H2f6 zenon_H297 zenon_H33 zenon_H274 zenon_H2f1. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H25b | zenon_intro zenon_H31f ]. % 42.98/43.24 apply (zenon_L266_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H2ff | zenon_intro zenon_H320 ]. % 42.98/43.24 apply (zenon_L264_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H295 | zenon_intro zenon_H31a ]. % 42.98/43.24 apply (zenon_L191_); trivial. % 42.98/43.24 apply (zenon_L237_); trivial. % 42.98/43.24 (* end of lemma zenon_L285_ *) % 42.98/43.24 assert (zenon_L286_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (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 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e22))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H245 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H26e zenon_H31e zenon_H33d zenon_H328 zenon_H2f6 zenon_H33 zenon_H2f1. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23b. zenon_intro zenon_H248. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 42.98/43.24 apply (zenon_L180_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 42.98/43.24 apply (zenon_L163_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 42.98/43.24 apply (zenon_L181_); trivial. % 42.98/43.24 apply (zenon_L285_); trivial. % 42.98/43.24 (* end of lemma zenon_L286_ *) % 42.98/43.24 assert (zenon_L287_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H352 zenon_H328 zenon_H282. % 42.98/43.24 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 42.98/43.24 intro zenon_D_pnotp. % 42.98/43.24 apply zenon_H352. % 42.98/43.24 rewrite <- zenon_D_pnotp. % 42.98/43.24 exact zenon_H328. % 42.98/43.24 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H353]. % 42.98/43.24 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.24 congruence. % 42.98/43.24 apply zenon_H2d9. apply refl_equal. % 42.98/43.24 apply zenon_H353. apply sym_equal. exact zenon_H282. % 42.98/43.24 (* end of lemma zenon_L287_ *) % 42.98/43.24 assert (zenon_L288_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2a5 zenon_H352 zenon_H328. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.24 apply (zenon_L287_); trivial. % 42.98/43.24 (* end of lemma zenon_L288_ *) % 42.98/43.24 assert (zenon_L289_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2c7 zenon_H256 zenon_H9c zenon_H346 zenon_H249 zenon_H345 zenon_H30b zenon_H2d7 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H23a zenon_H27c zenon_H2f9 zenon_H33c zenon_H301 zenon_H25d zenon_H253 zenon_H260 zenon_H342 zenon_H80 zenon_H27d zenon_H349 zenon_H204 zenon_H2c zenon_H20a zenon_H290 zenon_H24d zenon_H2e3 zenon_H2eb zenon_H2de zenon_H2ee zenon_H2f3 zenon_H2f1 zenon_H2f6 zenon_H33d zenon_H31e zenon_H328 zenon_H352 zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.24 apply (zenon_L4_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.24 apply (zenon_L280_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.24 apply (zenon_L154_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.24 apply (zenon_L156_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.24 apply (zenon_L282_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.24 apply (zenon_L283_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.24 apply (zenon_L284_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.24 apply (zenon_L164_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.24 apply (zenon_L286_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.24 apply (zenon_L288_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.24 apply (zenon_L198_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.24 apply (zenon_L199_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.24 apply (zenon_L200_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.24 apply (zenon_L202_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.24 apply (zenon_L203_); trivial. % 42.98/43.24 apply (zenon_L204_); trivial. % 42.98/43.24 (* end of lemma zenon_L289_ *) % 42.98/43.24 assert (zenon_L290_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (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) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f1 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2eb zenon_H2e3 zenon_H24d zenon_H290 zenon_H20a zenon_H204 zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H25d zenon_H301 zenon_H33c zenon_H2f9 zenon_H27c zenon_H23a zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H2d7 zenon_H30b zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H256 zenon_H2c7 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.24 apply (zenon_L289_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.24 apply (zenon_L244_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_L252_); trivial. % 42.98/43.24 (* end of lemma zenon_L290_ *) % 42.98/43.24 assert (zenon_L291_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H354 zenon_H328 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H21a zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 42.98/43.24 apply (zenon_L290_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.24 apply (zenon_L250_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_L252_); trivial. % 42.98/43.24 (* end of lemma zenon_L291_ *) % 42.98/43.24 assert (zenon_L292_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H226 zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H85 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H24d zenon_H260 zenon_H256 zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H93 zenon_H9c zenon_H29d zenon_H29e zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.24 apply (zenon_L205_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.24 apply (zenon_L246_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.24 apply (zenon_L173_); trivial. % 42.98/43.24 apply (zenon_L252_); trivial. % 42.98/43.24 (* end of lemma zenon_L292_ *) % 42.98/43.24 assert (zenon_L293_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.24 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H30e zenon_H290 zenon_H253 zenon_H299 zenon_H204 zenon_H2c zenon_H29c zenon_H15 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H25a zenon_H256 zenon_H260 zenon_Ha8 zenon_H20a zenon_H29e zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.24 apply (zenon_L227_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.24 apply (zenon_L253_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.24 apply (zenon_L154_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.24 apply (zenon_L156_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.24 apply (zenon_L157_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.24 apply (zenon_L160_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.24 apply (zenon_L255_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.24 apply (zenon_L164_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.24 apply (zenon_L232_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 42.98/43.24 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 42.98/43.24 exact (zenon_H15 zenon_H14). % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 42.98/43.24 apply (zenon_L184_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 42.98/43.24 apply (zenon_L188_); trivial. % 42.98/43.24 apply (zenon_L155_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 42.98/43.24 apply (zenon_L153_); trivial. % 42.98/43.24 apply (zenon_L192_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.24 apply (zenon_L198_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.24 apply (zenon_L199_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.24 apply (zenon_L200_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.24 apply (zenon_L202_); trivial. % 42.98/43.24 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.24 apply (zenon_L203_); trivial. % 42.98/43.24 apply (zenon_L204_); trivial. % 42.98/43.24 (* end of lemma zenon_L293_ *) % 42.98/43.24 assert (zenon_L294_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.25 do 0 intro. intros zenon_H337 zenon_H29e zenon_Ha8 zenon_H260 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H29c zenon_H299 zenon_H253 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.25 apply (zenon_L293_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.25 exact (zenon_H15 zenon_H14). % 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.25 apply (zenon_L258_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.25 apply (zenon_L173_); trivial. % 42.98/43.25 apply (zenon_L252_); trivial. % 42.98/43.25 (* end of lemma zenon_L294_ *) % 42.98/43.25 assert (zenon_L295_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.25 do 0 intro. intros zenon_H337 zenon_H352 zenon_H328 zenon_H31e zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H30b zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H256 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.25 apply (zenon_L289_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.25 exact (zenon_H15 zenon_H14). % 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.25 apply (zenon_L246_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.25 apply (zenon_L173_); trivial. % 42.98/43.25 apply (zenon_L252_); trivial. % 42.98/43.25 (* end of lemma zenon_L295_ *) % 42.98/43.25 assert (zenon_L296_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.25 do 0 intro. intros zenon_H354 zenon_H309 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H328 zenon_H352 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 42.98/43.25 apply (zenon_L295_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.25 exact (zenon_H15 zenon_H14). % 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.25 apply (zenon_L251_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.25 apply (zenon_L173_); trivial. % 42.98/43.25 apply (zenon_L252_); trivial. % 42.98/43.25 (* end of lemma zenon_L296_ *) % 42.98/43.25 assert (zenon_L297_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.25 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H207 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.25 apply (zenon_L292_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.25 apply (zenon_L294_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.25 apply (zenon_L296_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.25 apply (zenon_L197_); trivial. % 42.98/43.25 apply (zenon_L245_); trivial. % 42.98/43.25 (* end of lemma zenon_L297_ *) % 42.98/43.25 assert (zenon_L298_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.25 do 0 intro. intros zenon_H33b zenon_H330 zenon_H32f zenon_H324 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H30e zenon_H30b zenon_H337 zenon_H352 zenon_H328 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 42.98/43.25 apply (zenon_L296_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.25 exact (zenon_H15 zenon_H14). % 42.98/43.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.25 apply (zenon_L246_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.25 apply (zenon_L173_); trivial. % 42.98/43.25 apply (zenon_L252_); trivial. % 42.98/43.25 (* end of lemma zenon_L298_ *) % 42.98/43.25 assert (zenon_L299_ : (((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 42.98/43.25 do 0 intro. intros zenon_H245 zenon_H31e zenon_H33d zenon_H328 zenon_H2f6 zenon_H33 zenon_H274 zenon_H2f1. % 42.98/43.25 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246. % 42.98/43.25 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H23b. zenon_intro zenon_H248. % 42.98/43.25 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 42.98/43.25 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 42.98/43.25 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 42.98/43.25 apply (zenon_L285_); trivial. % 42.98/43.25 (* end of lemma zenon_L299_ *) % 42.98/43.25 assert (zenon_L300_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 42.98/43.25 do 0 intro. intros zenon_H2c7 zenon_H256 zenon_H2ee zenon_H2de zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H30b zenon_H290 zenon_H2f3 zenon_H2d7 zenon_H29d zenon_H85 zenon_H33e zenon_H23a zenon_H27c zenon_H2f9 zenon_H33c zenon_H301 zenon_H25d zenon_H253 zenon_H260 zenon_H279 zenon_H26e zenon_H342 zenon_H80 zenon_H24d zenon_H27d zenon_H26a zenon_H349 zenon_H204 zenon_H2c zenon_H20a zenon_H214 zenon_H22b zenon_H22a zenon_H2f1 zenon_H2f6 zenon_H33d zenon_H31e zenon_H328 zenon_H352 zenon_H288 zenon_Ha3 zenon_H264 zenon_H33 zenon_H274 zenon_H276. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.25 apply (zenon_L4_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.25 apply (zenon_L280_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.25 apply (zenon_L154_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.25 apply (zenon_L156_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.25 apply (zenon_L157_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.25 apply (zenon_L283_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.25 apply (zenon_L284_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.25 apply (zenon_L164_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.25 apply (zenon_L299_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.25 apply (zenon_L288_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.25 apply (zenon_L198_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.25 apply (zenon_L199_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.25 apply (zenon_L200_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.25 apply (zenon_L240_); trivial. % 42.98/43.25 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.25 apply (zenon_L203_); trivial. % 42.98/43.25 apply (zenon_L241_); trivial. % 42.98/43.25 (* end of lemma zenon_L300_ *) % 42.98/43.25 assert (zenon_L301_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.26 do 0 intro. intros zenon_H337 zenon_H276 zenon_H274 zenon_H264 zenon_H288 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f1 zenon_H22a zenon_H22b zenon_H214 zenon_H20a zenon_H204 zenon_H349 zenon_H26a zenon_H27d zenon_H24d zenon_H342 zenon_H279 zenon_H260 zenon_H253 zenon_H25d zenon_H301 zenon_H33c zenon_H2f9 zenon_H27c zenon_H23a zenon_H33e zenon_H85 zenon_H29d zenon_H2d7 zenon_H2f3 zenon_H290 zenon_H30b zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H2de zenon_H2ee zenon_H256 zenon_H2c7 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.26 apply (zenon_L300_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.26 exact (zenon_H15 zenon_H14). % 42.98/43.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.26 apply (zenon_L244_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.26 apply (zenon_L173_); trivial. % 42.98/43.26 apply (zenon_L252_); trivial. % 42.98/43.26 (* end of lemma zenon_L301_ *) % 42.98/43.26 assert (zenon_L302_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.26 do 0 intro. intros zenon_H354 zenon_H328 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H214 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 42.98/43.26 apply (zenon_L301_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.26 exact (zenon_H15 zenon_H14). % 42.98/43.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.26 apply (zenon_L251_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.26 apply (zenon_L173_); trivial. % 42.98/43.26 apply (zenon_L252_); trivial. % 42.98/43.26 (* end of lemma zenon_L302_ *) % 42.98/43.26 assert (zenon_L303_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.26 do 0 intro. intros zenon_H33b zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H2f1 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 42.98/43.26 apply (zenon_L302_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.26 exact (zenon_H15 zenon_H14). % 42.98/43.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.26 apply (zenon_L244_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.26 apply (zenon_L173_); trivial. % 42.98/43.26 apply (zenon_L252_); trivial. % 42.98/43.26 (* end of lemma zenon_L303_ *) % 42.98/43.26 assert (zenon_L304_ : (~((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.26 do 0 intro. intros zenon_H214 zenon_H33b zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H2f1 zenon_H337 zenon_H352 zenon_H33d zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 42.98/43.26 apply (zenon_L291_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 42.98/43.26 apply (zenon_L298_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 42.98/43.26 apply (zenon_L270_); trivial. % 42.98/43.26 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 42.98/43.26 apply (zenon_L209_); trivial. % 42.98/43.26 apply (zenon_L303_); trivial. % 42.98/43.26 (* end of lemma zenon_L304_ *) % 42.98/43.26 assert (zenon_L305_ : ((op2 (e21) (e21)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.26 do 0 intro. intros zenon_H219 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H207 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.27 apply (zenon_L205_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.27 exact (zenon_H15 zenon_H14). % 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.27 apply (zenon_L212_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.27 apply (zenon_L173_); trivial. % 42.98/43.27 apply (zenon_L252_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.27 apply (zenon_L294_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.27 apply (zenon_L304_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.27 apply (zenon_L197_); trivial. % 42.98/43.27 apply (zenon_L245_); trivial. % 42.98/43.27 (* end of lemma zenon_L305_ *) % 42.98/43.27 assert (zenon_L306_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H226 zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H85 zenon_H10c zenon_H7b zenon_H2b zenon_H30 zenon_H2f zenon_H78 zenon_H4f zenon_H56 zenon_H10d zenon_H109 zenon_Ha8 zenon_H24d zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_Ha2 zenon_H9c zenon_H29d zenon_H29e zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H274 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.27 apply (zenon_L4_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.27 apply (zenon_L150_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.27 apply (zenon_L154_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.27 apply (zenon_L156_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.27 apply (zenon_L211_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.27 apply (zenon_L160_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.27 apply (zenon_L161_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.27 apply (zenon_L164_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.27 apply (zenon_L169_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.27 apply (zenon_L196_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.27 apply (zenon_L198_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.27 apply (zenon_L199_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.27 apply (zenon_L200_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.27 apply (zenon_L240_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.27 apply (zenon_L203_); trivial. % 42.98/43.27 apply (zenon_L241_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.27 exact (zenon_H15 zenon_H14). % 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.27 apply (zenon_L248_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.27 apply (zenon_L173_); trivial. % 42.98/43.27 apply (zenon_L252_); trivial. % 42.98/43.27 (* end of lemma zenon_L306_ *) % 42.98/43.27 assert (zenon_L307_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H29e zenon_H109 zenon_H10d zenon_H56 zenon_H4f zenon_H78 zenon_H2f zenon_H30 zenon_H2b zenon_H7b zenon_H10c zenon_H29c zenon_H207 zenon_H299 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.27 apply (zenon_L306_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.27 apply (zenon_L259_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.27 apply (zenon_L302_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.27 apply (zenon_L197_); trivial. % 42.98/43.27 apply (zenon_L245_); trivial. % 42.98/43.27 (* end of lemma zenon_L307_ *) % 42.98/43.27 assert (zenon_L308_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H33b zenon_H253 zenon_H299 zenon_H29c zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H260 zenon_Ha8 zenon_H29e zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 42.98/43.27 apply (zenon_L294_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.27 exact (zenon_H15 zenon_H14). % 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.27 apply (zenon_L258_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.27 apply (zenon_L173_); trivial. % 42.98/43.27 apply (zenon_L252_); trivial. % 42.98/43.27 (* end of lemma zenon_L308_ *) % 42.98/43.27 assert (zenon_L309_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H15 zenon_H304 zenon_H328 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 42.98/43.27 apply (zenon_L304_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 42.98/43.27 exact (zenon_H15 zenon_H14). % 42.98/43.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 42.98/43.27 apply (zenon_L244_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 42.98/43.27 apply (zenon_L173_); trivial. % 42.98/43.27 apply (zenon_L252_); trivial. % 42.98/43.27 (* end of lemma zenon_L309_ *) % 42.98/43.27 assert (zenon_L310_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)) -> False). % 42.98/43.27 do 0 intro. intros zenon_H1fd zenon_H14. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H16. zenon_intro zenon_H1d. % 42.98/43.27 apply (zenon_L3_); trivial. % 42.98/43.27 (* end of lemma zenon_L310_ *) % 42.98/43.27 assert (zenon_L311_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> False). % 42.98/43.27 do 0 intro. intros zenon_H355 zenon_H14 zenon_H7e. % 42.98/43.27 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H355. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H14. % 42.98/43.27 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2db]. % 42.98/43.27 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H8e. apply refl_equal. % 42.98/43.27 apply zenon_H2db. apply sym_equal. exact zenon_H7e. % 42.98/43.27 (* end of lemma zenon_L311_ *) % 42.98/43.27 assert (zenon_L312_ : (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e20)) -> False). % 42.98/43.27 do 0 intro. intros zenon_H304 zenon_H282 zenon_H24e. % 42.98/43.27 cut (((op2 (e22) (e21)) = (e22)) = ((e20) = (e22))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H304. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H282. % 42.98/43.27 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 42.98/43.27 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H356]. % 42.98/43.27 congruence. % 42.98/43.27 exact (zenon_H356 zenon_H24e). % 42.98/43.27 apply zenon_H201. apply refl_equal. % 42.98/43.27 (* end of lemma zenon_L312_ *) % 42.98/43.27 assert (zenon_L313_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e21)) = (e20)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H357 zenon_H2c zenon_H358 zenon_H33. % 42.98/43.27 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H357. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H2c. % 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 42.98/43.27 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H359]. % 42.98/43.27 congruence. % 42.98/43.27 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H22e | zenon_intro zenon_H22f ]. % 42.98/43.27 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H359. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H22e. % 42.98/43.27 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 42.98/43.27 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H35a]. % 42.98/43.27 congruence. % 42.98/43.27 exact (zenon_H35a zenon_H358). % 42.98/43.27 apply zenon_H22f. apply refl_equal. % 42.98/43.27 apply zenon_H22f. apply refl_equal. % 42.98/43.27 apply (zenon_L152_); trivial. % 42.98/43.27 (* end of lemma zenon_L313_ *) % 42.98/43.27 assert (zenon_L314_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H2a5 zenon_H35b zenon_H14 zenon_H355 zenon_H2f1 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H80 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H304 zenon_H357 zenon_H2c zenon_H33. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H35b); [ zenon_intro zenon_H7e | zenon_intro zenon_H35c ]. % 42.98/43.27 apply (zenon_L311_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H35c); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H35d ]. % 42.98/43.27 apply (zenon_L251_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H24e | zenon_intro zenon_H358 ]. % 42.98/43.27 apply (zenon_L312_); trivial. % 42.98/43.27 apply (zenon_L313_); trivial. % 42.98/43.27 (* end of lemma zenon_L314_ *) % 42.98/43.27 assert (zenon_L315_ : (~((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (op2 (e23) (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H35e zenon_H35f zenon_H33. % 42.98/43.27 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H360]. % 42.98/43.27 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H203. apply sym_equal. exact zenon_H33. % 42.98/43.27 apply zenon_H360. apply sym_equal. exact zenon_H35f. % 42.98/43.27 (* end of lemma zenon_L315_ *) % 42.98/43.27 assert (zenon_L316_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e23) (e20)) = (e22)) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H2c zenon_H35f zenon_H33 zenon_H2c0. % 42.98/43.27 elim (classic ((e20) = (e20))); [ zenon_intro zenon_H361 | zenon_intro zenon_H12 ]. % 42.98/43.27 cut (((e20) = (e20)) = ((op2 (e23) (op2 (e23) (e20))) = (e20))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H2c0. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H361. % 42.98/43.27 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.27 cut (((e20) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H362]. % 42.98/43.27 congruence. % 42.98/43.27 cut (((e20) = (op2 (op2 (e22) (e22)) (e22))) = ((e20) = (op2 (e23) (op2 (e23) (e20))))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H362. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H2c. % 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H35e]. % 42.98/43.27 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H12. apply refl_equal. % 42.98/43.27 apply (zenon_L315_); trivial. % 42.98/43.27 apply zenon_H12. apply refl_equal. % 42.98/43.27 apply zenon_H12. apply refl_equal. % 42.98/43.27 (* end of lemma zenon_L316_ *) % 42.98/43.27 assert (zenon_L317_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 42.98/43.27 do 0 intro. intros zenon_H234 zenon_H23c zenon_H2b2. % 42.98/43.27 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H234. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H23c. % 42.98/43.27 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 42.98/43.27 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H238. apply refl_equal. % 42.98/43.27 apply zenon_H341. apply sym_equal. exact zenon_H2b2. % 42.98/43.27 (* end of lemma zenon_L317_ *) % 42.98/43.27 assert (zenon_L318_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H363 zenon_H2c0 zenon_H33 zenon_H2c zenon_H283 zenon_H364 zenon_H23c zenon_H234 zenon_H274 zenon_H2f1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H363); [ zenon_intro zenon_H35f | zenon_intro zenon_H365 ]. % 42.98/43.27 apply (zenon_L316_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H367 | zenon_intro zenon_H366 ]. % 42.98/43.27 cut (((op2 (e20) (e21)) = (e22)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H364. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H283. % 42.98/43.27 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H368]. % 42.98/43.27 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H250. apply refl_equal. % 42.98/43.27 apply zenon_H368. apply sym_equal. exact zenon_H367. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H31a ]. % 42.98/43.27 apply (zenon_L317_); trivial. % 42.98/43.27 apply (zenon_L237_); trivial. % 42.98/43.27 (* end of lemma zenon_L318_ *) % 42.98/43.27 assert (zenon_L319_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (e21))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H242 zenon_H2c zenon_H226 zenon_H2b2 zenon_H234 zenon_H23e zenon_H33. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H235 | zenon_intro zenon_H243 ]. % 42.98/43.27 apply (zenon_L165_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H228 | zenon_intro zenon_H244 ]. % 42.98/43.27 exact (zenon_H226 zenon_H228). % 42.98/43.27 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23c | zenon_intro zenon_H23f ]. % 42.98/43.27 apply (zenon_L317_); trivial. % 42.98/43.27 apply (zenon_L167_); trivial. % 42.98/43.27 (* end of lemma zenon_L319_ *) % 42.98/43.27 assert (zenon_L320_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e22) = (e23))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H357 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H355 zenon_H35b zenon_H288 zenon_H242 zenon_H2c zenon_H234 zenon_H226 zenon_H23a zenon_H23e zenon_H342 zenon_H2f1 zenon_H364 zenon_H363 zenon_H2ad zenon_H304 zenon_H14 zenon_H29d zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.27 apply (zenon_L4_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.27 apply (zenon_L310_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.27 apply (zenon_L154_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.27 apply (zenon_L156_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.27 apply (zenon_L211_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.27 apply (zenon_L160_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.27 apply (zenon_L161_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.27 apply (zenon_L164_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.27 apply (zenon_L169_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.27 apply (zenon_L314_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.27 apply (zenon_L198_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.27 apply (zenon_L199_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 42.98/43.27 apply (zenon_L226_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ]. % 42.98/43.27 apply (zenon_L168_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ]. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 42.98/43.27 apply (zenon_L180_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 42.98/43.27 apply (zenon_L163_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 42.98/43.27 apply (zenon_L181_); trivial. % 42.98/43.27 apply (zenon_L318_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ]. % 42.98/43.27 exact (zenon_H2ad zenon_H2ab). % 42.98/43.27 apply (zenon_L319_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 42.98/43.27 apply (zenon_L168_); trivial. % 42.98/43.27 apply (zenon_L186_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.27 apply (zenon_L202_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.27 apply (zenon_L203_); trivial. % 42.98/43.27 apply (zenon_L204_); trivial. % 42.98/43.27 (* end of lemma zenon_L320_ *) % 42.98/43.27 assert (zenon_L321_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> False). % 42.98/43.27 do 0 intro. intros zenon_H369 zenon_H328 zenon_H367. % 42.98/43.27 cut (((op2 (e21) (e21)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H369. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H328. % 42.98/43.27 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H368]. % 42.98/43.27 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H2d9. apply refl_equal. % 42.98/43.27 apply zenon_H368. apply sym_equal. exact zenon_H367. % 42.98/43.27 (* end of lemma zenon_L321_ *) % 42.98/43.27 assert (zenon_L322_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> False). % 42.98/43.27 do 0 intro. intros zenon_H36a zenon_H2c zenon_H357 zenon_H33 zenon_H22b zenon_H22a zenon_H328 zenon_H369 zenon_H2b5 zenon_H274. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H36a); [ zenon_intro zenon_H358 | zenon_intro zenon_H36b ]. % 42.98/43.27 apply (zenon_L313_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H36b); [ zenon_intro zenon_H22c | zenon_intro zenon_H36c ]. % 42.98/43.27 apply (zenon_L163_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H36c); [ zenon_intro zenon_H367 | zenon_intro zenon_H2b6 ]. % 42.98/43.27 apply (zenon_L321_); trivial. % 42.98/43.27 apply (zenon_L201_); trivial. % 42.98/43.27 (* end of lemma zenon_L322_ *) % 42.98/43.27 assert (zenon_L323_ : (((op2 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (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) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H2b3 zenon_H279 zenon_H26a zenon_H26e zenon_H36a zenon_H2c zenon_H357 zenon_H33 zenon_H22b zenon_H22a zenon_H328 zenon_H369. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_Ha6. zenon_intro zenon_H2b4. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H92. zenon_intro zenon_H2be. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2b5. zenon_intro zenon_H2c1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 42.98/43.27 apply (zenon_L180_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 42.98/43.27 apply (zenon_L163_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 42.98/43.27 apply (zenon_L181_); trivial. % 42.98/43.27 apply (zenon_L322_); trivial. % 42.98/43.27 (* end of lemma zenon_L323_ *) % 42.98/43.27 assert (zenon_L324_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H2c7 zenon_H14 zenon_H204 zenon_H20a zenon_H290 zenon_H24d zenon_H2e3 zenon_H2eb zenon_H2de zenon_H2ee zenon_H2f3 zenon_H2f1 zenon_H2f6 zenon_H33d zenon_H31e zenon_H352 zenon_H288 zenon_H369 zenon_H328 zenon_H357 zenon_H2c zenon_H36a zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 42.98/43.27 apply (zenon_L4_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 42.98/43.27 apply (zenon_L310_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 42.98/43.27 apply (zenon_L154_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 42.98/43.27 apply (zenon_L156_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 42.98/43.27 apply (zenon_L282_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 42.98/43.27 apply (zenon_L283_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 42.98/43.27 apply (zenon_L284_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 42.98/43.27 apply (zenon_L164_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 42.98/43.27 apply (zenon_L286_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 42.98/43.27 apply (zenon_L288_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 42.98/43.27 apply (zenon_L198_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 42.98/43.27 apply (zenon_L199_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 42.98/43.27 apply (zenon_L323_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 42.98/43.27 apply (zenon_L202_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 42.98/43.27 apply (zenon_L203_); trivial. % 42.98/43.27 apply (zenon_L204_); trivial. % 42.98/43.27 (* end of lemma zenon_L324_ *) % 42.98/43.27 assert (zenon_L325_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H36d zenon_H29d zenon_H363 zenon_H364 zenon_H342 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_H35b zenon_H355 zenon_H2d7 zenon_H2e6 zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H316 zenon_H80 zenon_H311 zenon_H321 zenon_H32b zenon_H25d zenon_H2f9 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H304 zenon_H276 zenon_H264 zenon_H36a zenon_H2c zenon_H357 zenon_H369 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2eb zenon_H2e3 zenon_H24d zenon_H290 zenon_H20a zenon_H204 zenon_H14 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ]. % 42.98/43.27 apply (zenon_L320_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.27 apply (zenon_L226_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.27 apply (zenon_L324_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.27 apply (zenon_L197_); trivial. % 42.98/43.27 apply (zenon_L245_); trivial. % 42.98/43.27 (* end of lemma zenon_L325_ *) % 42.98/43.27 assert (zenon_L326_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f9 zenon_H25d zenon_H32b zenon_H321 zenon_H311 zenon_H80 zenon_H316 zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2e6 zenon_H2d7 zenon_H355 zenon_H35b zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H342 zenon_H364 zenon_H363 zenon_H29d zenon_H36d zenon_H304 zenon_H276 zenon_H264 zenon_H36a zenon_H2c zenon_H357 zenon_H369 zenon_H352 zenon_H31e zenon_H33d zenon_H2f6 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2eb zenon_H2e3 zenon_H24d zenon_H290 zenon_H20a zenon_H204 zenon_H14 zenon_H2c7 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 42.98/43.27 apply (zenon_L325_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 42.98/43.27 apply (zenon_L226_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 42.98/43.27 apply (zenon_L324_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 42.98/43.27 apply (zenon_L197_); trivial. % 42.98/43.27 apply (zenon_L245_); trivial. % 42.98/43.27 (* end of lemma zenon_L326_ *) % 42.98/43.27 assert (zenon_L327_ : (~((h3 (e11)) = (e21))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H36e zenon_H36f zenon_H22b. % 42.98/43.27 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (e11)) = (e21))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H36e. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H36f. % 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H370]. % 42.98/43.27 cut (((h3 (e11)) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H371]. % 42.98/43.27 congruence. % 42.98/43.27 apply zenon_H371. apply refl_equal. % 42.98/43.27 apply zenon_H370. apply sym_equal. exact zenon_H22b. % 42.98/43.27 (* end of lemma zenon_L327_ *) % 42.98/43.27 assert (zenon_L328_ : (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((op1 (e10) (e11)) = (e10)) -> ((op2 (e20) (e21)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H372 zenon_H40 zenon_H7e zenon_H2b zenon_H2c zenon_H36f zenon_H22b. % 42.98/43.27 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H372. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H2b. % 42.98/43.27 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H373]. % 42.98/43.27 cut (((h3 (e10)) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H374]. % 42.98/43.27 congruence. % 42.98/43.27 elim (classic ((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [ zenon_intro zenon_H375 | zenon_intro zenon_H376 ]. % 42.98/43.27 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11)))) = ((h3 (e10)) = (h3 (op1 (e10) (e11))))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H374. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H375. % 42.98/43.27 cut (((h3 (op1 (e10) (e11))) = (h3 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H376]. % 42.98/43.27 cut (((h3 (op1 (e10) (e11))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H377]. % 42.98/43.27 congruence. % 42.98/43.27 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H378]. % 42.98/43.27 congruence. % 42.98/43.27 exact (zenon_H378 zenon_H40). % 42.98/43.27 apply zenon_H376. apply refl_equal. % 42.98/43.27 apply zenon_H376. apply refl_equal. % 42.98/43.27 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H379 | zenon_intro zenon_H37a ]. % 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e10)) (h3 (e11))))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H373. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H379. % 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37a]. % 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37b]. % 42.98/43.27 congruence. % 42.98/43.27 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (h3 (e10)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (e22)))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H37b. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H7e. % 42.98/43.27 cut (((e20) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37c]. % 42.98/43.27 cut (((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37d]. % 42.98/43.27 congruence. % 42.98/43.27 elim (classic ((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [ zenon_intro zenon_H379 | zenon_intro zenon_H37a ]. % 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11)))) = ((op2 (e20) (e21)) = (op2 (h3 (e10)) (h3 (e11))))). % 42.98/43.27 intro zenon_D_pnotp. % 42.98/43.27 apply zenon_H37d. % 42.98/43.27 rewrite <- zenon_D_pnotp. % 42.98/43.27 exact zenon_H379. % 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (h3 (e10)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H37a]. % 42.98/43.27 cut (((op2 (h3 (e10)) (h3 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H37e]. % 42.98/43.27 congruence. % 42.98/43.27 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 42.98/43.27 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 42.98/43.27 congruence. % 42.98/43.27 apply (zenon_L9_); trivial. % 42.98/43.27 apply (zenon_L327_); trivial. % 42.98/43.27 apply zenon_H37a. apply refl_equal. % 42.98/43.27 apply zenon_H37a. apply refl_equal. % 42.98/43.27 exact (zenon_H37c zenon_H2c). % 42.98/43.27 apply zenon_H37a. apply refl_equal. % 42.98/43.27 apply zenon_H37a. apply refl_equal. % 42.98/43.27 (* end of lemma zenon_L328_ *) % 42.98/43.27 assert (zenon_L329_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((op2 (e20) (e21)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_Ha7 zenon_H372 zenon_H7e zenon_H2b zenon_H2c zenon_H36f zenon_H22b. % 42.98/43.27 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.27 apply (zenon_L328_); trivial. % 42.98/43.27 (* end of lemma zenon_L329_ *) % 42.98/43.27 assert (zenon_L330_ : (((op1 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e10)) = (e11))) -> False). % 42.98/43.27 do 0 intro. intros zenon_Hcd zenon_H15b. % 42.98/43.27 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 42.98/43.27 exact (zenon_H15b zenon_Hcf). % 42.98/43.27 (* end of lemma zenon_L330_ *) % 42.98/43.27 assert (zenon_L331_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H10c zenon_H21 zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H7e zenon_H372 zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H20 | zenon_intro zenon_H10e ]. % 42.98/43.27 exact (zenon_H21 zenon_H20). % 42.98/43.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H40 | zenon_intro zenon_H10f ]. % 42.98/43.27 apply (zenon_L328_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Had | zenon_intro zenon_Hba ]. % 42.98/43.27 exact (zenon_Haf zenon_Had). % 42.98/43.27 apply (zenon_L57_); trivial. % 42.98/43.27 (* end of lemma zenon_L331_ *) % 42.98/43.27 assert (zenon_L332_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H112 zenon_H10c zenon_H21 zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H7e zenon_H372 zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H48 zenon_H105. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 42.98/43.27 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.27 apply (zenon_L331_); trivial. % 42.98/43.27 (* end of lemma zenon_L332_ *) % 42.98/43.27 assert (zenon_L333_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((op2 (e20) (e21)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.27 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H372 zenon_H7e zenon_H2b zenon_H2c zenon_H36f zenon_H22b zenon_H21 zenon_H10c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.27 apply (zenon_L8_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.27 apply (zenon_L329_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.27 apply (zenon_L34_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.27 apply (zenon_L36_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.27 apply (zenon_L330_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.27 apply (zenon_L45_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.27 apply (zenon_L46_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.27 apply (zenon_L48_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.27 apply (zenon_L51_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.27 apply (zenon_L332_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.27 apply (zenon_L61_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.27 apply (zenon_L62_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.27 apply (zenon_L63_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.27 apply (zenon_L66_); trivial. % 42.98/43.27 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.28 apply (zenon_L67_); trivial. % 42.98/43.28 apply (zenon_L70_); trivial. % 42.98/43.28 (* end of lemma zenon_L333_ *) % 42.98/43.28 assert (zenon_L334_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.28 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H10c zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H7e zenon_H372 zenon_Haf zenon_H109 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 42.98/43.28 apply (zenon_L333_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.28 exact (zenon_H21 zenon_H20). % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.28 apply (zenon_L100_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.28 apply (zenon_L101_); trivial. % 42.98/43.28 apply (zenon_L102_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.28 apply (zenon_L104_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.28 apply (zenon_L132_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.28 apply (zenon_L60_); trivial. % 42.98/43.28 apply (zenon_L133_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.28 exact (zenon_H21 zenon_H20). % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.28 apply (zenon_L100_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.28 apply (zenon_L101_); trivial. % 42.98/43.28 apply (zenon_L102_); trivial. % 42.98/43.28 (* end of lemma zenon_L334_ *) % 42.98/43.28 assert (zenon_L335_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.28 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H10c zenon_H22b zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_H109 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.28 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 42.98/43.28 apply (zenon_L334_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.28 apply (zenon_L104_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.28 apply (zenon_L132_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.28 apply (zenon_L60_); trivial. % 42.98/43.28 apply (zenon_L133_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.28 apply (zenon_L149_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.28 apply (zenon_L100_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.28 apply (zenon_L101_); trivial. % 42.98/43.28 apply (zenon_L102_); trivial. % 42.98/43.28 (* end of lemma zenon_L335_ *) % 42.98/43.28 assert (zenon_L336_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 42.98/43.28 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H15 zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 42.98/43.28 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 42.98/43.28 exact (zenon_H15 zenon_H14). % 42.98/43.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 42.98/43.28 apply (zenon_L328_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 42.98/43.28 exact (zenon_H207 zenon_H205). % 42.98/43.28 apply (zenon_L192_); trivial. % 42.98/43.28 (* end of lemma zenon_L336_ *) % 42.98/43.28 assert (zenon_L337_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 42.98/43.28 do 0 intro. intros zenon_H112 zenon_H29e zenon_H15 zenon_H105 zenon_H48 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H372 zenon_H2b zenon_H2c zenon_H36f zenon_H21 zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 42.98/43.28 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 42.98/43.28 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 42.98/43.28 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 42.98/43.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 42.98/43.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 42.98/43.28 exact (zenon_H15 zenon_H14). % 42.98/43.28 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 42.98/43.28 apply (zenon_L331_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 42.98/43.28 exact (zenon_H207 zenon_H205). % 42.98/43.28 apply (zenon_L192_); trivial. % 42.98/43.28 (* end of lemma zenon_L337_ *) % 42.98/43.28 assert (zenon_L338_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 42.98/43.28 do 0 intro. intros zenon_H142 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H10c zenon_H21 zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_Haf zenon_H109 zenon_Hf6 zenon_Hf9 zenon_H15 zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 42.98/43.28 apply (zenon_L8_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 42.98/43.28 apply (zenon_L336_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 42.98/43.28 apply (zenon_L34_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 42.98/43.28 apply (zenon_L36_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 42.98/43.28 apply (zenon_L330_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 42.98/43.28 apply (zenon_L45_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 42.98/43.28 apply (zenon_L46_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 42.98/43.28 apply (zenon_L48_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 42.98/43.28 apply (zenon_L51_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 42.98/43.28 apply (zenon_L337_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 42.98/43.28 apply (zenon_L61_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 42.98/43.28 apply (zenon_L62_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 42.98/43.28 apply (zenon_L63_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 42.98/43.28 apply (zenon_L66_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 42.98/43.28 apply (zenon_L67_); trivial. % 42.98/43.28 apply (zenon_L70_); trivial. % 42.98/43.28 (* end of lemma zenon_L338_ *) % 42.98/43.28 assert (zenon_L339_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 42.98/43.28 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29e zenon_H15 zenon_H109 zenon_Haf zenon_H372 zenon_H2b zenon_H2c zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 42.98/43.28 apply (zenon_L338_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.28 exact (zenon_H21 zenon_H20). % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.28 apply (zenon_L100_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.28 apply (zenon_L101_); trivial. % 42.98/43.28 apply (zenon_L102_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 42.98/43.28 apply (zenon_L104_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 42.98/43.28 apply (zenon_L132_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 42.98/43.28 apply (zenon_L60_); trivial. % 42.98/43.28 apply (zenon_L133_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 42.98/43.28 exact (zenon_H21 zenon_H20). % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 42.98/43.28 apply (zenon_L100_); trivial. % 42.98/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 42.98/43.28 apply (zenon_L101_); trivial. % 42.98/43.28 apply (zenon_L102_); trivial. % 42.98/43.28 (* end of lemma zenon_L339_ *) % 42.98/43.28 assert (zenon_L340_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.10/43.29 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H15 zenon_H109 zenon_H372 zenon_H2b zenon_H2c zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H33 zenon_H264 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.10/43.29 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 43.10/43.29 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 43.10/43.29 apply (zenon_L339_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.10/43.29 apply (zenon_L104_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.10/43.29 apply (zenon_L132_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.10/43.29 apply (zenon_L60_); trivial. % 43.10/43.29 apply (zenon_L133_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.10/43.29 apply (zenon_L149_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.10/43.29 apply (zenon_L100_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.10/43.29 apply (zenon_L101_); trivial. % 43.10/43.29 apply (zenon_L102_); trivial. % 43.10/43.29 (* end of lemma zenon_L340_ *) % 43.10/43.29 assert (zenon_L341_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.10/43.29 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H20a zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H290 zenon_H253 zenon_H299 zenon_H207 zenon_H10c zenon_H36f zenon_H2c zenon_H2b zenon_H372 zenon_H109 zenon_H15 zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.10/43.29 apply (zenon_L4_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.10/43.29 apply (zenon_L335_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.10/43.29 apply (zenon_L154_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.10/43.29 apply (zenon_L156_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.10/43.29 apply (zenon_L211_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.10/43.29 apply (zenon_L160_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.10/43.29 apply (zenon_L161_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.10/43.29 apply (zenon_L164_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.10/43.29 apply (zenon_L169_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.10/43.29 apply (zenon_L340_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.10/43.29 apply (zenon_L198_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.10/43.29 apply (zenon_L199_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.10/43.29 apply (zenon_L200_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.10/43.29 apply (zenon_L202_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.10/43.29 apply (zenon_L203_); trivial. % 43.10/43.29 apply (zenon_L204_); trivial. % 43.10/43.29 (* end of lemma zenon_L341_ *) % 43.10/43.29 assert (zenon_L342_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.10/43.29 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H109 zenon_H372 zenon_H2b zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.10/43.29 apply (zenon_L341_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.10/43.29 exact (zenon_H15 zenon_H14). % 43.10/43.29 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.10/43.29 apply (zenon_L246_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.10/43.29 apply (zenon_L173_); trivial. % 43.10/43.29 apply (zenon_L252_); trivial. % 43.10/43.29 (* end of lemma zenon_L342_ *) % 43.10/43.29 assert (zenon_L343_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.10/43.29 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H207 zenon_H10c zenon_H36f zenon_H2b zenon_H372 zenon_H109 zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.10/43.29 apply (zenon_L342_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.10/43.29 apply (zenon_L294_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.10/43.29 apply (zenon_L296_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.10/43.29 apply (zenon_L197_); trivial. % 43.10/43.29 apply (zenon_L245_); trivial. % 43.10/43.29 (* end of lemma zenon_L343_ *) % 43.10/43.29 assert (zenon_L344_ : ((op2 (e21) (e21)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = 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(e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.10/43.29 do 0 intro. intros zenon_H219 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H207 zenon_H10c zenon_H36f zenon_H2b zenon_H372 zenon_H109 zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.10/43.29 apply (zenon_L341_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.10/43.29 exact (zenon_H15 zenon_H14). % 43.10/43.29 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.10/43.29 apply (zenon_L212_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.10/43.29 apply (zenon_L173_); trivial. % 43.10/43.29 apply (zenon_L252_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.10/43.29 apply (zenon_L294_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.10/43.29 apply (zenon_L304_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.10/43.29 apply (zenon_L197_); trivial. % 43.10/43.29 apply (zenon_L245_); trivial. % 43.10/43.29 (* end of lemma zenon_L344_ *) % 43.10/43.29 assert (zenon_L345_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.10/43.29 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H109 zenon_H372 zenon_H2b zenon_H36f zenon_H10c zenon_H207 zenon_H299 zenon_H253 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H274 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.10/43.29 apply (zenon_L4_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.10/43.29 apply (zenon_L335_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.10/43.29 apply (zenon_L154_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.10/43.29 apply (zenon_L156_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.10/43.29 apply (zenon_L211_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.10/43.29 apply (zenon_L160_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.10/43.29 apply (zenon_L161_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.10/43.29 apply (zenon_L164_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.10/43.29 apply (zenon_L169_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.10/43.29 apply (zenon_L340_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.10/43.29 apply (zenon_L198_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.10/43.29 apply (zenon_L199_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.10/43.29 apply (zenon_L200_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.10/43.29 apply (zenon_L240_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.10/43.29 apply (zenon_L203_); trivial. % 43.10/43.29 apply (zenon_L241_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.10/43.29 exact (zenon_H15 zenon_H14). % 43.10/43.29 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.10/43.29 apply (zenon_L248_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.10/43.29 apply (zenon_L173_); trivial. % 43.10/43.29 apply (zenon_L252_); trivial. % 43.10/43.29 (* end of lemma zenon_L345_ *) % 43.10/43.29 assert (zenon_L346_ : ((op2 (e23) (e23)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.10/43.29 do 0 intro. intros zenon_H274 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H207 zenon_H10c zenon_H36f zenon_H2b zenon_H372 zenon_H109 zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H299 zenon_H29c zenon_Ha2 zenon_Ha8 zenon_H29e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.10/43.29 apply (zenon_L345_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.10/43.29 apply (zenon_L294_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.10/43.29 apply (zenon_L304_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.10/43.29 apply (zenon_L197_); trivial. % 43.10/43.29 apply (zenon_L245_); trivial. % 43.10/43.29 (* end of lemma zenon_L346_ *) % 43.10/43.29 assert (zenon_L347_ : (~((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op2 (e20) (e22)) = (e21)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> False). % 43.10/43.29 do 0 intro. intros zenon_H380 zenon_H36f zenon_Hbb zenon_H2dc zenon_H22b zenon_H2b zenon_H2c zenon_H381. % 43.10/43.29 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))). % 43.10/43.29 intro zenon_D_pnotp. % 43.10/43.29 apply zenon_H380. % 43.10/43.29 rewrite <- zenon_D_pnotp. % 43.10/43.29 exact zenon_H36f. % 43.10/43.29 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H382]. % 43.10/43.29 cut (((h3 (e11)) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H383]. % 43.10/43.29 congruence. % 43.10/43.29 elim (classic ((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [ zenon_intro zenon_H384 | zenon_intro zenon_H385 ]. % 43.10/43.29 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12)))) = ((h3 (e11)) = (h3 (op1 (e10) (e12))))). % 43.10/43.29 intro zenon_D_pnotp. % 43.10/43.29 apply zenon_H383. % 43.10/43.29 rewrite <- zenon_D_pnotp. % 43.10/43.29 exact zenon_H384. % 43.10/43.29 cut (((h3 (op1 (e10) (e12))) = (h3 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H385]. % 43.10/43.29 cut (((h3 (op1 (e10) (e12))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H386]. % 43.10/43.29 congruence. % 43.10/43.29 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H387]. % 43.10/43.29 congruence. % 43.10/43.29 exact (zenon_H387 zenon_Hbb). % 43.10/43.29 apply zenon_H385. apply refl_equal. % 43.10/43.29 apply zenon_H385. apply refl_equal. % 43.10/43.29 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H388 | zenon_intro zenon_H389 ]. % 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e10)) (h3 (e12))))). % 43.10/43.29 intro zenon_D_pnotp. % 43.10/43.29 apply zenon_H382. % 43.10/43.29 rewrite <- zenon_D_pnotp. % 43.10/43.29 exact zenon_H388. % 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H389]. % 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38a]. % 43.10/43.29 congruence. % 43.10/43.29 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (h3 (e10)) (h3 (e12))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))). % 43.10/43.29 intro zenon_D_pnotp. % 43.10/43.29 apply zenon_H38a. % 43.10/43.29 rewrite <- zenon_D_pnotp. % 43.10/43.29 exact zenon_H2dc. % 43.10/43.29 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38b]. % 43.10/43.29 cut (((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H38c]. % 43.10/43.29 congruence. % 43.10/43.29 elim (classic ((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [ zenon_intro zenon_H388 | zenon_intro zenon_H389 ]. % 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12)))) = ((op2 (e20) (e22)) = (op2 (h3 (e10)) (h3 (e12))))). % 43.10/43.29 intro zenon_D_pnotp. % 43.10/43.29 apply zenon_H38c. % 43.10/43.29 rewrite <- zenon_D_pnotp. % 43.10/43.29 exact zenon_H388. % 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (h3 (e10)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H389]. % 43.10/43.29 cut (((op2 (h3 (e10)) (h3 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H38d]. % 43.10/43.29 congruence. % 43.10/43.29 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e]. % 43.10/43.29 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 43.10/43.29 congruence. % 43.10/43.29 apply (zenon_L9_); trivial. % 43.10/43.29 exact (zenon_H38e zenon_H381). % 43.10/43.29 apply zenon_H389. apply refl_equal. % 43.10/43.29 apply zenon_H389. apply refl_equal. % 43.10/43.29 exact (zenon_H38b zenon_H22b). % 43.10/43.29 apply zenon_H389. apply refl_equal. % 43.10/43.29 apply zenon_H389. apply refl_equal. % 43.10/43.29 (* end of lemma zenon_L347_ *) % 43.10/43.29 assert (zenon_L348_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.10/43.29 do 0 intro. intros zenon_Hca zenon_H381 zenon_H2c zenon_H2b zenon_H22b zenon_H2dc zenon_H36f zenon_H380 zenon_H6f zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48. % 43.10/43.29 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcb ]. % 43.10/43.29 apply (zenon_L347_); trivial. % 43.10/43.29 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_H72 | zenon_intro zenon_Hcc ]. % 43.10/43.29 exact (zenon_H6f zenon_H72). % 43.10/43.29 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc5 ]. % 43.10/43.29 apply (zenon_L39_); trivial. % 43.10/43.29 apply (zenon_L40_); trivial. % 43.10/43.29 (* end of lemma zenon_L348_ *) % 43.10/43.29 assert (zenon_L349_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H2e3 zenon_H380 zenon_H36f zenon_H2b zenon_H2c zenon_H381 zenon_H226 zenon_H276 zenon_H26e zenon_H22b zenon_H33 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H2dc | zenon_intro zenon_H2e4 ]. % 43.10/43.30 apply (zenon_L348_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H228 | zenon_intro zenon_H2e5 ]. % 43.10/43.30 exact (zenon_H226 zenon_H228). % 43.10/43.30 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H26f ]. % 43.10/43.30 apply (zenon_L209_); trivial. % 43.10/43.30 apply (zenon_L181_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.10/43.30 apply (zenon_L104_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.10/43.30 apply (zenon_L132_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.10/43.30 apply (zenon_L60_); trivial. % 43.10/43.30 apply (zenon_L133_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.10/43.30 apply (zenon_L149_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.10/43.30 apply (zenon_L100_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.10/43.30 apply (zenon_L101_); trivial. % 43.10/43.30 apply (zenon_L102_); trivial. % 43.10/43.30 (* end of lemma zenon_L349_ *) % 43.10/43.30 assert (zenon_L350_ : (~((h3 (e13)) = (e23))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H38f zenon_H30 zenon_H33. % 43.10/43.30 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (e13)) = (e23))). % 43.10/43.30 intro zenon_D_pnotp. % 43.10/43.30 apply zenon_H38f. % 43.10/43.30 rewrite <- zenon_D_pnotp. % 43.10/43.30 exact zenon_H30. % 43.10/43.30 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 43.10/43.30 cut (((h3 (e13)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H390]. % 43.10/43.30 congruence. % 43.10/43.30 apply zenon_H390. apply refl_equal. % 43.10/43.30 apply zenon_H203. apply sym_equal. exact zenon_H33. % 43.10/43.30 (* end of lemma zenon_L350_ *) % 43.10/43.30 assert (zenon_L351_ : (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op1 (e10) (e13)) = (e12)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H391 zenon_H381 zenon_H183 zenon_H25b zenon_H2b zenon_H2c zenon_H30 zenon_H33. % 43.10/43.30 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))). % 43.10/43.30 intro zenon_D_pnotp. % 43.10/43.30 apply zenon_H391. % 43.10/43.30 rewrite <- zenon_D_pnotp. % 43.10/43.30 exact zenon_H381. % 43.10/43.30 cut (((e22) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H392]. % 43.10/43.30 cut (((h3 (e12)) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H393]. % 43.10/43.30 congruence. % 43.10/43.30 elim (classic ((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [ zenon_intro zenon_H394 | zenon_intro zenon_H395 ]. % 43.10/43.30 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13)))) = ((h3 (e12)) = (h3 (op1 (e10) (e13))))). % 43.10/43.30 intro zenon_D_pnotp. % 43.10/43.30 apply zenon_H393. % 43.10/43.30 rewrite <- zenon_D_pnotp. % 43.10/43.30 exact zenon_H394. % 43.10/43.30 cut (((h3 (op1 (e10) (e13))) = (h3 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H395]. % 43.10/43.30 cut (((h3 (op1 (e10) (e13))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H396]. % 43.10/43.30 congruence. % 43.10/43.30 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 43.10/43.30 congruence. % 43.10/43.30 exact (zenon_H1f2 zenon_H183). % 43.10/43.30 apply zenon_H395. apply refl_equal. % 43.10/43.30 apply zenon_H395. apply refl_equal. % 43.10/43.30 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ]. % 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((e22) = (op2 (h3 (e10)) (h3 (e13))))). % 43.10/43.30 intro zenon_D_pnotp. % 43.10/43.30 apply zenon_H392. % 43.10/43.30 rewrite <- zenon_D_pnotp. % 43.10/43.30 exact zenon_H397. % 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H399]. % 43.10/43.30 congruence. % 43.10/43.30 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (h3 (e10)) (h3 (e13))) = (e22))). % 43.10/43.30 intro zenon_D_pnotp. % 43.10/43.30 apply zenon_H399. % 43.10/43.30 rewrite <- zenon_D_pnotp. % 43.10/43.30 exact zenon_H25b. % 43.10/43.30 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 43.10/43.30 cut (((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H39a]. % 43.10/43.30 congruence. % 43.10/43.30 elim (classic ((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [ zenon_intro zenon_H397 | zenon_intro zenon_H398 ]. % 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13)))) = ((op2 (e20) (e23)) = (op2 (h3 (e10)) (h3 (e13))))). % 43.10/43.30 intro zenon_D_pnotp. % 43.10/43.30 apply zenon_H39a. % 43.10/43.30 rewrite <- zenon_D_pnotp. % 43.10/43.30 exact zenon_H397. % 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (h3 (e10)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H398]. % 43.10/43.30 cut (((op2 (h3 (e10)) (h3 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H39b]. % 43.10/43.30 congruence. % 43.10/43.30 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f]. % 43.10/43.30 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 43.10/43.30 congruence. % 43.10/43.30 apply (zenon_L9_); trivial. % 43.10/43.30 apply (zenon_L350_); trivial. % 43.10/43.30 apply zenon_H398. apply refl_equal. % 43.10/43.30 apply zenon_H398. apply refl_equal. % 43.10/43.30 apply zenon_H201. apply refl_equal. % 43.10/43.30 apply zenon_H398. apply refl_equal. % 43.10/43.30 apply zenon_H398. apply refl_equal. % 43.10/43.30 (* end of lemma zenon_L351_ *) % 43.10/43.30 assert (zenon_L352_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False). % 43.10/43.30 do 0 intro. intros zenon_H1bf zenon_Hf7 zenon_Hf6 zenon_H48 zenon_H57 zenon_H1ba zenon_H33 zenon_H30 zenon_H2c zenon_H2b zenon_H25b zenon_H381 zenon_H391 zenon_H73 zenon_H75. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_Hba | zenon_intro zenon_H1c0 ]. % 43.10/43.30 apply (zenon_L53_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c1 ]. % 43.10/43.30 apply (zenon_L113_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H183 | zenon_intro zenon_H74 ]. % 43.10/43.30 apply (zenon_L351_); trivial. % 43.10/43.30 apply (zenon_L22_); trivial. % 43.10/43.30 (* end of lemma zenon_L352_ *) % 43.10/43.30 assert (zenon_L353_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H1c3 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H50 zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H25b zenon_H2b zenon_H2c zenon_H30 zenon_H33 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ]. % 43.10/43.30 apply (zenon_L105_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ]. % 43.10/43.30 apply (zenon_L112_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ]. % 43.10/43.30 apply (zenon_L101_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H74 | zenon_intro zenon_H39d ]. % 43.10/43.30 apply (zenon_L23_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H75 | zenon_intro zenon_H39e ]. % 43.10/43.30 apply (zenon_L352_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H104 | zenon_intro zenon_H13e ]. % 43.10/43.30 apply (zenon_L56_); trivial. % 43.10/43.30 apply (zenon_L69_); trivial. % 43.10/43.30 (* end of lemma zenon_L353_ *) % 43.10/43.30 assert (zenon_L354_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (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 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False). % 43.10/43.30 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H22b zenon_H256 zenon_Hc1 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H105 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H33 zenon_H30 zenon_H2c zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H50 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H40 zenon_H1a8 zenon_H1c3 zenon_H25d zenon_H25e. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ]. % 43.10/43.30 apply (zenon_L174_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ]. % 43.10/43.30 apply (zenon_L175_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ]. % 43.10/43.30 apply (zenon_L353_); trivial. % 43.10/43.30 apply (zenon_L177_); trivial. % 43.10/43.30 (* end of lemma zenon_L354_ *) % 43.10/43.30 assert (zenon_L355_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H1c3 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H50 zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 43.10/43.30 apply (zenon_L170_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 43.10/43.30 apply (zenon_L171_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 43.10/43.30 apply (zenon_L173_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ]. % 43.10/43.30 apply (zenon_L31_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ]. % 43.10/43.30 apply (zenon_L354_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ]. % 43.10/43.30 apply (zenon_L179_); trivial. % 43.10/43.30 apply (zenon_L183_); trivial. % 43.10/43.30 (* end of lemma zenon_L355_ *) % 43.10/43.30 assert (zenon_L356_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.10/43.30 do 0 intro. intros zenon_Ha7 zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.10/43.30 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.10/43.30 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.10/43.30 apply (zenon_L355_); trivial. % 43.10/43.30 (* end of lemma zenon_L356_ *) % 43.10/43.30 assert (zenon_L357_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H10c zenon_H60 zenon_Hb2 zenon_Hef zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H25b zenon_H2b zenon_H2c zenon_H30 zenon_H33 zenon_H1ba zenon_H1bf zenon_H133 zenon_H126 zenon_He0 zenon_Hc4 zenon_Hc1 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H100 zenon_H48 zenon_H105. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H20 | zenon_intro zenon_H10e ]. % 43.10/43.30 exact (zenon_H21 zenon_H20). % 43.10/43.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H40 | zenon_intro zenon_H10f ]. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ]. % 43.10/43.30 exact (zenon_H21 zenon_H20). % 43.10/43.30 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ]. % 43.10/43.30 apply (zenon_L353_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ]. % 43.10/43.30 apply (zenon_L52_); trivial. % 43.10/43.30 apply (zenon_L35_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Had | zenon_intro zenon_Hba ]. % 43.10/43.30 exact (zenon_Haf zenon_Had). % 43.10/43.30 apply (zenon_L57_); trivial. % 43.10/43.30 (* end of lemma zenon_L357_ *) % 43.10/43.30 assert (zenon_L358_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e13))) -> (~((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) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> False). % 43.10/43.30 do 0 intro. intros zenon_H260 zenon_H254 zenon_H253 zenon_H22b zenon_H256 zenon_H105 zenon_H48 zenon_H100 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_Hc1 zenon_Hc4 zenon_He0 zenon_H126 zenon_H133 zenon_H1bf zenon_H1ba zenon_H33 zenon_H30 zenon_H2c zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hef zenon_Hb2 zenon_H60 zenon_H10c zenon_H25d zenon_H25e. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H212 | zenon_intro zenon_H261 ]. % 43.10/43.30 apply (zenon_L174_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H257 | zenon_intro zenon_H262 ]. % 43.10/43.30 apply (zenon_L175_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25b | zenon_intro zenon_H92 ]. % 43.10/43.30 apply (zenon_L357_); trivial. % 43.10/43.30 apply (zenon_L177_); trivial. % 43.10/43.30 (* end of lemma zenon_L358_ *) % 43.10/43.30 assert (zenon_L359_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((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 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_He8 zenon_H276 zenon_H26e zenon_H22b zenon_H33 zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2c zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H10c zenon_H25d zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H9c zenon_Ha3 zenon_H27c zenon_H24d zenon_H7e zenon_H249 zenon_H27d zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.10/43.30 apply (zenon_L8_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.10/43.30 apply (zenon_L356_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.10/43.30 apply (zenon_L34_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.10/43.30 apply (zenon_L36_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.10/43.30 apply (zenon_L330_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.10/43.30 apply (zenon_L45_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.10/43.30 apply (zenon_L46_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.10/43.30 apply (zenon_L48_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.10/43.30 apply (zenon_L51_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.10/43.30 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.10/43.30 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.10/43.30 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.10/43.30 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 43.10/43.30 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 43.10/43.30 apply (zenon_L170_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 43.10/43.30 apply (zenon_L171_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 43.10/43.30 apply (zenon_L173_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ]. % 43.10/43.30 apply (zenon_L31_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ]. % 43.10/43.30 apply (zenon_L358_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ]. % 43.10/43.30 apply (zenon_L179_); trivial. % 43.10/43.30 apply (zenon_L183_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.10/43.30 apply (zenon_L61_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.10/43.30 apply (zenon_L62_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.10/43.30 apply (zenon_L63_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.10/43.30 apply (zenon_L66_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.10/43.30 apply (zenon_L67_); trivial. % 43.10/43.30 apply (zenon_L70_); trivial. % 43.10/43.30 (* end of lemma zenon_L359_ *) % 43.10/43.30 assert (zenon_L360_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H27d zenon_H249 zenon_H7e zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H10d zenon_Haf zenon_H109 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.10/43.30 apply (zenon_L359_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.10/43.30 exact (zenon_H21 zenon_H20). % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.10/43.30 apply (zenon_L100_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.10/43.30 apply (zenon_L101_); trivial. % 43.10/43.30 apply (zenon_L102_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.10/43.30 apply (zenon_L104_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.10/43.30 apply (zenon_L132_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.10/43.30 apply (zenon_L60_); trivial. % 43.10/43.30 apply (zenon_L133_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.10/43.30 exact (zenon_H21 zenon_H20). % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.10/43.30 apply (zenon_L100_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.10/43.30 apply (zenon_L101_); trivial. % 43.10/43.30 apply (zenon_L102_); trivial. % 43.10/43.30 (* end of lemma zenon_L360_ *) % 43.10/43.30 assert (zenon_L361_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (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)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.10/43.30 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H2c zenon_H30 zenon_H10d zenon_H109 zenon_H256 zenon_H253 zenon_H260 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.10/43.30 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 43.10/43.30 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 43.10/43.30 apply (zenon_L360_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.10/43.30 apply (zenon_L104_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.10/43.30 apply (zenon_L132_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.10/43.30 apply (zenon_L60_); trivial. % 43.10/43.30 apply (zenon_L133_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.10/43.30 apply (zenon_L149_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.10/43.30 apply (zenon_L100_); trivial. % 43.10/43.30 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.10/43.30 apply (zenon_L101_); trivial. % 43.10/43.30 apply (zenon_L102_); trivial. % 43.10/43.30 (* end of lemma zenon_L361_ *) % 43.10/43.30 assert (zenon_L362_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 43.14/43.31 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H2c zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 43.14/43.31 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.14/43.31 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 43.14/43.31 exact (zenon_H15 zenon_H14). % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.14/43.31 exact (zenon_H15 zenon_H14). % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 43.14/43.31 apply (zenon_L184_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 43.14/43.31 apply (zenon_L185_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 43.14/43.31 apply (zenon_L168_); trivial. % 43.14/43.31 apply (zenon_L353_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.14/43.31 apply (zenon_L188_); trivial. % 43.14/43.31 apply (zenon_L155_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 43.14/43.31 exact (zenon_H207 zenon_H205). % 43.14/43.31 apply (zenon_L192_); trivial. % 43.14/43.31 (* end of lemma zenon_L362_ *) % 43.14/43.31 assert (zenon_L363_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e13))) -> (~((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) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.14/43.31 do 0 intro. intros zenon_H29c zenon_H15 zenon_H105 zenon_H48 zenon_H100 zenon_Hf9 zenon_H57 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_Hc1 zenon_Hc4 zenon_He0 zenon_H126 zenon_H133 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hef zenon_Hb2 zenon_H60 zenon_H10c zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_Ha8 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H7e zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H33. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.14/43.31 exact (zenon_H15 zenon_H14). % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H25a | zenon_intro zenon_H2a3 ]. % 43.14/43.31 apply (zenon_L184_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a4 ]. % 43.14/43.31 apply (zenon_L185_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H23b | zenon_intro zenon_H25b ]. % 43.14/43.31 apply (zenon_L166_); trivial. % 43.14/43.31 apply (zenon_L357_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.14/43.31 apply (zenon_L188_); trivial. % 43.14/43.31 apply (zenon_L155_); trivial. % 43.14/43.31 (* end of lemma zenon_L363_ *) % 43.14/43.31 assert (zenon_L364_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 43.14/43.31 do 0 intro. intros zenon_H112 zenon_H29e zenon_H2c zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_H1bf zenon_H133 zenon_H126 zenon_He0 zenon_Hc4 zenon_Hc1 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H48 zenon_H105 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.14/43.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 43.14/43.31 exact (zenon_H15 zenon_H14). % 43.14/43.31 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 43.14/43.31 apply (zenon_L363_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 43.14/43.31 exact (zenon_H207 zenon_H205). % 43.14/43.31 apply (zenon_L192_); trivial. % 43.14/43.31 (* end of lemma zenon_L364_ *) % 43.14/43.31 assert (zenon_L365_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (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 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.14/43.31 do 0 intro. intros zenon_H142 zenon_H242 zenon_H234 zenon_H226 zenon_H23e zenon_Hac zenon_H15b zenon_He8 zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H207 zenon_H29c zenon_H15 zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H10c zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_Ha8 zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H2c zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.14/43.31 apply (zenon_L8_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.14/43.31 apply (zenon_L362_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.14/43.31 apply (zenon_L34_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.14/43.31 apply (zenon_L36_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.14/43.31 apply (zenon_L330_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.14/43.31 apply (zenon_L45_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.14/43.31 apply (zenon_L46_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.14/43.31 apply (zenon_L48_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.14/43.31 apply (zenon_L51_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.14/43.31 apply (zenon_L364_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.14/43.31 apply (zenon_L61_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.14/43.31 apply (zenon_L62_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.14/43.31 apply (zenon_L63_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.14/43.31 apply (zenon_L66_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.14/43.31 apply (zenon_L67_); trivial. % 43.14/43.31 apply (zenon_L70_); trivial. % 43.14/43.31 (* end of lemma zenon_L365_ *) % 43.14/43.31 assert (zenon_L366_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.14/43.31 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29e zenon_H2c zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_Haf zenon_H109 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264 zenon_H23e zenon_H226 zenon_H234 zenon_H242 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.14/43.31 apply (zenon_L365_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.31 exact (zenon_H21 zenon_H20). % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.31 apply (zenon_L100_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.31 apply (zenon_L101_); trivial. % 43.14/43.31 apply (zenon_L102_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.14/43.31 apply (zenon_L104_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.14/43.31 apply (zenon_L132_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.14/43.31 apply (zenon_L60_); trivial. % 43.14/43.31 apply (zenon_L133_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.31 exact (zenon_H21 zenon_H20). % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.31 apply (zenon_L100_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.31 apply (zenon_L101_); trivial. % 43.14/43.31 apply (zenon_L102_); trivial. % 43.14/43.31 (* end of lemma zenon_L366_ *) % 43.14/43.31 assert (zenon_L367_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.14/43.31 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H2c zenon_H20a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_H109 zenon_H15 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H33 zenon_H264 zenon_H23e zenon_H226 zenon_H234 zenon_H242 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 43.14/43.31 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 43.14/43.31 apply (zenon_L366_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.14/43.31 apply (zenon_L104_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.14/43.31 apply (zenon_L132_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.14/43.31 apply (zenon_L60_); trivial. % 43.14/43.31 apply (zenon_L133_); trivial. % 43.14/43.31 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.32 apply (zenon_L149_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.32 apply (zenon_L100_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.32 apply (zenon_L101_); trivial. % 43.14/43.32 apply (zenon_L102_); trivial. % 43.14/43.32 (* end of lemma zenon_L367_ *) % 43.14/43.32 assert (zenon_L368_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = 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(e20)))/\((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.14/43.32 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H29d zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H256 zenon_H260 zenon_Ha8 zenon_H24d zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_H109 zenon_H29c zenon_H207 zenon_H299 zenon_H253 zenon_H226 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.14/43.32 apply (zenon_L4_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.14/43.32 apply (zenon_L361_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.14/43.32 apply (zenon_L154_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.14/43.32 apply (zenon_L156_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.14/43.32 apply (zenon_L211_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.14/43.32 apply (zenon_L160_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.14/43.32 apply (zenon_L161_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.14/43.32 apply (zenon_L164_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.14/43.32 apply (zenon_L169_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.14/43.32 apply (zenon_L367_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.14/43.32 apply (zenon_L198_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.14/43.32 apply (zenon_L199_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.14/43.32 apply (zenon_L200_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.14/43.32 apply (zenon_L202_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.14/43.32 apply (zenon_L203_); trivial. % 43.14/43.32 apply (zenon_L204_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.14/43.32 exact (zenon_H15 zenon_H14). % 43.14/43.32 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.14/43.32 apply (zenon_L251_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.14/43.32 apply (zenon_L173_); trivial. % 43.14/43.32 apply (zenon_L252_); trivial. % 43.14/43.32 (* end of lemma zenon_L368_ *) % 43.14/43.32 assert (zenon_L369_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = 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(e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.14/43.32 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H299 zenon_H207 zenon_H29c zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_Ha8 zenon_Ha2 zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.14/43.32 apply (zenon_L368_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.14/43.32 apply (zenon_L230_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.14/43.32 apply (zenon_L296_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.14/43.32 apply (zenon_L197_); trivial. % 43.14/43.32 apply (zenon_L245_); trivial. % 43.14/43.32 (* end of lemma zenon_L369_ *) % 43.14/43.32 assert (zenon_L370_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 43.14/43.32 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H20a zenon_H28a zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H25d zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1 zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_H15 zenon_H29c zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 43.14/43.32 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.14/43.32 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 43.14/43.32 exact (zenon_H15 zenon_H14). % 43.14/43.32 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.14/43.32 exact (zenon_H15 zenon_H14). % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.14/43.32 apply (zenon_L355_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.14/43.32 apply (zenon_L188_); trivial. % 43.14/43.32 apply (zenon_L155_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 43.14/43.32 apply (zenon_L153_); trivial. % 43.14/43.32 apply (zenon_L192_); trivial. % 43.14/43.32 (* end of lemma zenon_L370_ *) % 43.14/43.32 assert (zenon_L371_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (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)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 43.14/43.32 do 0 intro. intros zenon_H112 zenon_H29e zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H39c zenon_H6e zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H56 zenon_H4f zenon_H78 zenon_H73 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H1ba zenon_H1bf zenon_H133 zenon_H126 zenon_He0 zenon_Hc4 zenon_Hc1 zenon_H21 zenon_H10d zenon_Haf zenon_H109 zenon_Hf6 zenon_H57 zenon_Hf9 zenon_H48 zenon_H105 zenon_H15 zenon_H29c zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 43.14/43.32 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.14/43.32 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.14/43.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.14/43.32 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 43.14/43.32 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 43.14/43.32 exact (zenon_H15 zenon_H14). % 43.14/43.32 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 43.14/43.32 apply (zenon_L363_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 43.14/43.32 apply (zenon_L153_); trivial. % 43.14/43.32 apply (zenon_L192_); trivial. % 43.14/43.32 (* end of lemma zenon_L371_ *) % 43.14/43.32 assert (zenon_L372_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (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 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.14/43.32 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_He8 zenon_H264 zenon_H33 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H204 zenon_H2c zenon_H29c zenon_H15 zenon_Hf9 zenon_Hf6 zenon_H109 zenon_Haf zenon_H10d zenon_H21 zenon_H1bf zenon_H1ba zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H73 zenon_H78 zenon_H4f zenon_H56 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H6e zenon_H39c zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H10c zenon_H23a zenon_H23c zenon_H282 zenon_H24d zenon_Ha8 zenon_H276 zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H29d zenon_H28a zenon_H20a zenon_H29e zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.14/43.32 apply (zenon_L8_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.14/43.32 apply (zenon_L370_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.14/43.32 apply (zenon_L34_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.14/43.32 apply (zenon_L36_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.14/43.32 apply (zenon_L330_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.14/43.32 apply (zenon_L45_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.14/43.32 apply (zenon_L46_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.14/43.32 apply (zenon_L48_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.14/43.32 apply (zenon_L51_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.14/43.32 apply (zenon_L371_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.14/43.32 apply (zenon_L61_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.14/43.32 apply (zenon_L62_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.14/43.32 apply (zenon_L63_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.14/43.32 apply (zenon_L66_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.14/43.32 apply (zenon_L67_); trivial. % 43.14/43.32 apply (zenon_L70_); trivial. % 43.14/43.32 (* end of lemma zenon_L372_ *) % 43.14/43.32 assert (zenon_L373_ : ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (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)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e12)) = (e10))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.14/43.32 do 0 intro. intros zenon_H37f zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29e zenon_H20a zenon_H28a zenon_H29d zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H276 zenon_Ha8 zenon_H24d zenon_H282 zenon_H23c zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_Haf zenon_H109 zenon_H15 zenon_H29c zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.14/43.32 apply (zenon_L372_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.32 exact (zenon_H21 zenon_H20). % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.32 apply (zenon_L100_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.32 apply (zenon_L101_); trivial. % 43.14/43.32 apply (zenon_L102_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.14/43.32 apply (zenon_L104_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.14/43.32 apply (zenon_L132_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.14/43.32 apply (zenon_L60_); trivial. % 43.14/43.32 apply (zenon_L133_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.32 exact (zenon_H21 zenon_H20). % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.32 apply (zenon_L100_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.32 apply (zenon_L101_); trivial. % 43.14/43.32 apply (zenon_L102_); trivial. % 43.14/43.32 (* end of lemma zenon_L373_ *) % 43.14/43.32 assert (zenon_L374_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.14/43.32 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H290 zenon_H253 zenon_H299 zenon_H204 zenon_H2c zenon_H29c zenon_H15 zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_H23a zenon_H24d zenon_Ha8 zenon_H260 zenon_H256 zenon_H25d zenon_H27c zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_H29d zenon_H20a zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.14/43.32 apply (zenon_L227_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.14/43.32 apply (zenon_L253_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.14/43.32 apply (zenon_L154_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.14/43.32 apply (zenon_L156_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.14/43.32 apply (zenon_L157_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.14/43.32 apply (zenon_L160_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.14/43.32 apply (zenon_L255_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.14/43.32 apply (zenon_L164_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.14/43.32 apply (zenon_L232_); trivial. % 43.14/43.32 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Haf | zenon_intro zenon_H193 ]. % 43.14/43.33 apply (zenon_L373_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.14/43.33 apply (zenon_L104_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.14/43.33 apply (zenon_L132_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.14/43.33 apply (zenon_L60_); trivial. % 43.14/43.33 apply (zenon_L133_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.33 apply (zenon_L149_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.33 apply (zenon_L100_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.33 apply (zenon_L101_); trivial. % 43.14/43.33 apply (zenon_L102_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.14/43.33 apply (zenon_L198_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.14/43.33 apply (zenon_L199_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.14/43.33 apply (zenon_L200_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.14/43.33 apply (zenon_L202_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.14/43.33 apply (zenon_L203_); trivial. % 43.14/43.33 apply (zenon_L204_); trivial. % 43.14/43.33 (* end of lemma zenon_L374_ *) % 43.14/43.33 assert (zenon_L375_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H37f zenon_H29e zenon_H20a zenon_H29d zenon_H9c zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H27c zenon_H25d zenon_H256 zenon_H260 zenon_Ha8 zenon_H24d zenon_H23a zenon_H10c zenon_H39c zenon_H56 zenon_H4f zenon_H78 zenon_H391 zenon_H381 zenon_H2b zenon_H30 zenon_H10d zenon_H109 zenon_H29c zenon_H204 zenon_H299 zenon_H253 zenon_H290 zenon_H1ff zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H304 zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.14/43.33 apply (zenon_L374_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.14/43.33 exact (zenon_H15 zenon_H14). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.14/43.33 apply (zenon_L212_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.14/43.33 apply (zenon_L173_); trivial. % 43.14/43.33 apply (zenon_L252_); trivial. % 43.14/43.33 (* end of lemma zenon_L375_ *) % 43.14/43.33 assert (zenon_L376_ : (~((op2 (e20) (e22)) = (e20))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H207 zenon_H219 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H299 zenon_H29c zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_Ha8 zenon_Ha2 zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H33b zenon_H214 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.14/43.33 apply (zenon_L368_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.14/43.33 apply (zenon_L375_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.14/43.33 apply (zenon_L304_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.14/43.33 apply (zenon_L197_); trivial. % 43.14/43.33 apply (zenon_L245_); trivial. % 43.14/43.33 (* end of lemma zenon_L376_ *) % 43.14/43.33 assert (zenon_L377_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = 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(e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e12)) = (e10)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = 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(e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.14/43.33 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1ff zenon_H299 zenon_H207 zenon_H29c zenon_H109 zenon_H10d zenon_H30 zenon_H2b zenon_H381 zenon_H391 zenon_H78 zenon_H4f zenon_H56 zenon_H39c zenon_H10c zenon_H29e zenon_H37f zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.14/43.33 apply (zenon_L4_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.14/43.33 apply (zenon_L361_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.14/43.33 apply (zenon_L154_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.14/43.33 apply (zenon_L156_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.14/43.33 apply (zenon_L211_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.14/43.33 apply (zenon_L160_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.14/43.33 apply (zenon_L161_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.14/43.33 apply (zenon_L164_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.14/43.33 apply (zenon_L169_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.14/43.33 apply (zenon_L367_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.14/43.33 apply (zenon_L198_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.14/43.33 apply (zenon_L199_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.14/43.33 apply (zenon_L200_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.14/43.33 apply (zenon_L240_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.14/43.33 apply (zenon_L203_); trivial. % 43.14/43.33 apply (zenon_L241_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.14/43.33 exact (zenon_H15 zenon_H14). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.14/43.33 apply (zenon_L248_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.14/43.33 apply (zenon_L173_); trivial. % 43.14/43.33 apply (zenon_L252_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.14/43.33 apply (zenon_L259_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.14/43.33 apply (zenon_L302_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.14/43.33 apply (zenon_L197_); trivial. % 43.14/43.33 apply (zenon_L245_); trivial. % 43.14/43.33 (* end of lemma zenon_L377_ *) % 43.14/43.33 assert (zenon_L378_ : (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op2 (e21) (e20)) = (e20)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H39f zenon_H50 zenon_H99 zenon_H36f zenon_H22b zenon_H2b zenon_H2c. % 43.14/43.33 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))). % 43.14/43.33 intro zenon_D_pnotp. % 43.14/43.33 apply zenon_H39f. % 43.14/43.33 rewrite <- zenon_D_pnotp. % 43.14/43.33 exact zenon_H2b. % 43.14/43.33 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a0]. % 43.14/43.33 cut (((h3 (e10)) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a1]. % 43.14/43.33 congruence. % 43.14/43.33 elim (classic ((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [ zenon_intro zenon_H3a2 | zenon_intro zenon_H3a3 ]. % 43.14/43.33 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10)))) = ((h3 (e10)) = (h3 (op1 (e11) (e10))))). % 43.14/43.33 intro zenon_D_pnotp. % 43.14/43.33 apply zenon_H3a1. % 43.14/43.33 rewrite <- zenon_D_pnotp. % 43.14/43.33 exact zenon_H3a2. % 43.14/43.33 cut (((h3 (op1 (e11) (e10))) = (h3 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a3]. % 43.14/43.33 cut (((h3 (op1 (e11) (e10))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3a4]. % 43.14/43.33 congruence. % 43.14/43.33 cut (((op1 (e11) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3a5]. % 43.14/43.33 congruence. % 43.14/43.33 exact (zenon_H3a5 zenon_H50). % 43.14/43.33 apply zenon_H3a3. apply refl_equal. % 43.14/43.33 apply zenon_H3a3. apply refl_equal. % 43.14/43.33 elim (classic ((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [ zenon_intro zenon_H3a6 | zenon_intro zenon_H3a7 ]. % 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10)))) = ((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e11)) (h3 (e10))))). % 43.14/43.33 intro zenon_D_pnotp. % 43.14/43.33 apply zenon_H3a0. % 43.14/43.33 rewrite <- zenon_D_pnotp. % 43.14/43.33 exact zenon_H3a6. % 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a7]. % 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3a8]. % 43.14/43.33 congruence. % 43.14/43.33 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (h3 (e11)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (e22)))). % 43.14/43.33 intro zenon_D_pnotp. % 43.14/43.33 apply zenon_H3a8. % 43.14/43.33 rewrite <- zenon_D_pnotp. % 43.14/43.33 exact zenon_H99. % 43.14/43.33 cut (((e20) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37c]. % 43.14/43.33 cut (((op2 (e21) (e20)) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a9]. % 43.14/43.33 congruence. % 43.14/43.33 elim (classic ((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [ zenon_intro zenon_H3a6 | zenon_intro zenon_H3a7 ]. % 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10)))) = ((op2 (e21) (e20)) = (op2 (h3 (e11)) (h3 (e10))))). % 43.14/43.33 intro zenon_D_pnotp. % 43.14/43.33 apply zenon_H3a9. % 43.14/43.33 rewrite <- zenon_D_pnotp. % 43.14/43.33 exact zenon_H3a6. % 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (h3 (e11)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a7]. % 43.14/43.33 cut (((op2 (h3 (e11)) (h3 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3aa]. % 43.14/43.33 congruence. % 43.14/43.33 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 43.14/43.33 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.14/43.33 congruence. % 43.14/43.33 apply (zenon_L327_); trivial. % 43.14/43.33 apply (zenon_L9_); trivial. % 43.14/43.33 apply zenon_H3a7. apply refl_equal. % 43.14/43.33 apply zenon_H3a7. apply refl_equal. % 43.14/43.33 exact (zenon_H37c zenon_H2c). % 43.14/43.33 apply zenon_H3a7. apply refl_equal. % 43.14/43.33 apply zenon_H3a7. apply refl_equal. % 43.14/43.33 (* end of lemma zenon_L378_ *) % 43.14/43.33 assert (zenon_L379_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((op2 (e21) (e20)) = (e20)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False). % 43.14/43.33 do 0 intro. intros zenon_Ha7 zenon_H39f zenon_H99 zenon_H36f zenon_H22b zenon_H2b zenon_H2c. % 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.14/43.33 apply (zenon_L378_); trivial. % 43.14/43.33 (* end of lemma zenon_L379_ *) % 43.14/43.33 assert (zenon_L380_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H10d zenon_H21 zenon_H2c zenon_H2b zenon_H22b zenon_H36f zenon_H99 zenon_H39f zenon_Hef zenon_Hb2 zenon_H60 zenon_H48. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ]. % 43.14/43.33 exact (zenon_H21 zenon_H20). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ]. % 43.14/43.33 apply (zenon_L378_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ]. % 43.14/43.33 apply (zenon_L52_); trivial. % 43.14/43.33 apply (zenon_L35_); trivial. % 43.14/43.33 (* end of lemma zenon_L380_ *) % 43.14/43.33 assert (zenon_L381_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H112 zenon_H10d zenon_H21 zenon_H2c zenon_H2b zenon_H22b zenon_H36f zenon_H99 zenon_H39f zenon_Hb2 zenon_H60 zenon_H48. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.14/43.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.14/43.33 apply (zenon_L380_); trivial. % 43.14/43.33 (* end of lemma zenon_L381_ *) % 43.14/43.33 assert (zenon_L382_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((op2 (e21) (e20)) = (e20)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H60 zenon_Hb2 zenon_H39f zenon_H99 zenon_H36f zenon_H22b zenon_H2b zenon_H2c zenon_H21 zenon_H10d zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.14/43.33 apply (zenon_L8_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.14/43.33 apply (zenon_L379_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.14/43.33 apply (zenon_L34_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.14/43.33 apply (zenon_L36_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.14/43.33 apply (zenon_L330_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.14/43.33 apply (zenon_L45_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.14/43.33 apply (zenon_L46_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.14/43.33 apply (zenon_L48_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.14/43.33 apply (zenon_L51_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.14/43.33 apply (zenon_L381_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.14/43.33 apply (zenon_L61_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.14/43.33 apply (zenon_L62_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.14/43.33 apply (zenon_L63_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.14/43.33 apply (zenon_L66_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.14/43.33 apply (zenon_L67_); trivial. % 43.14/43.33 apply (zenon_L70_); trivial. % 43.14/43.33 (* end of lemma zenon_L382_ *) % 43.14/43.33 assert (zenon_L383_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H39f zenon_H36f zenon_H22b zenon_H2b zenon_H2c zenon_H10d zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.14/43.33 apply (zenon_L382_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.33 exact (zenon_H21 zenon_H20). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.33 apply (zenon_L100_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.33 apply (zenon_L101_); trivial. % 43.14/43.33 apply (zenon_L102_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.14/43.33 apply (zenon_L104_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.14/43.33 apply (zenon_L132_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.14/43.33 apply (zenon_L60_); trivial. % 43.14/43.33 apply (zenon_L133_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.33 exact (zenon_H21 zenon_H20). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.33 apply (zenon_L100_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.33 apply (zenon_L101_); trivial. % 43.14/43.33 apply (zenon_L102_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.14/43.33 apply (zenon_L149_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.14/43.33 apply (zenon_L100_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.14/43.33 apply (zenon_L101_); trivial. % 43.14/43.33 apply (zenon_L102_); trivial. % 43.14/43.33 (* end of lemma zenon_L383_ *) % 43.14/43.33 assert (zenon_L384_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.14/43.33 do 0 intro. intros zenon_Ha7 zenon_H29c zenon_H15 zenon_H2b zenon_H22b zenon_H36f zenon_H39f zenon_H28a zenon_H20a zenon_H2c zenon_H33. % 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.14/43.33 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.14/43.33 exact (zenon_H15 zenon_H14). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.14/43.33 apply (zenon_L378_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.14/43.33 apply (zenon_L188_); trivial. % 43.14/43.33 apply (zenon_L155_); trivial. % 43.14/43.33 (* end of lemma zenon_L384_ *) % 43.14/43.33 assert (zenon_L385_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H112 zenon_H29c zenon_H15 zenon_H48 zenon_H60 zenon_Hb2 zenon_H39f zenon_H36f zenon_H22b zenon_H2b zenon_H21 zenon_H10d zenon_H28a zenon_H20a zenon_H2c zenon_H33. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.14/43.33 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.14/43.33 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.14/43.33 exact (zenon_H15 zenon_H14). % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.14/43.33 apply (zenon_L380_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.14/43.33 apply (zenon_L188_); trivial. % 43.14/43.33 apply (zenon_L155_); trivial. % 43.14/43.33 (* end of lemma zenon_L385_ *) % 43.14/43.33 assert (zenon_L386_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.14/43.33 do 0 intro. intros zenon_H142 zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H33 zenon_H2c zenon_H20a zenon_H28a zenon_H10d zenon_H21 zenon_H2b zenon_H22b zenon_H36f zenon_H39f zenon_Hb2 zenon_H60 zenon_H15 zenon_H29c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.14/43.33 apply (zenon_L8_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.14/43.33 apply (zenon_L384_); trivial. % 43.14/43.33 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.17/43.34 apply (zenon_L34_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.17/43.34 apply (zenon_L36_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.17/43.34 apply (zenon_L330_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.17/43.34 apply (zenon_L45_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.17/43.34 apply (zenon_L46_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.17/43.34 apply (zenon_L48_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.17/43.34 apply (zenon_L51_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.17/43.34 apply (zenon_L385_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.17/43.34 apply (zenon_L61_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.17/43.34 apply (zenon_L62_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.17/43.34 apply (zenon_L63_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.17/43.34 apply (zenon_L66_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.17/43.34 apply (zenon_L67_); trivial. % 43.17/43.34 apply (zenon_L70_); trivial. % 43.17/43.34 (* end of lemma zenon_L386_ *) % 43.17/43.34 assert (zenon_L387_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.34 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H33 zenon_H2c zenon_H20a zenon_H10d zenon_H2b zenon_H22b zenon_H36f zenon_H39f zenon_H15 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.34 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.17/43.34 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.17/43.34 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.17/43.34 apply (zenon_L386_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.34 exact (zenon_H21 zenon_H20). % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.34 apply (zenon_L100_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.34 apply (zenon_L101_); trivial. % 43.17/43.34 apply (zenon_L102_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.34 apply (zenon_L104_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.34 apply (zenon_L132_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.34 apply (zenon_L60_); trivial. % 43.17/43.34 apply (zenon_L133_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.34 exact (zenon_H21 zenon_H20). % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.34 apply (zenon_L100_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.34 apply (zenon_L101_); trivial. % 43.17/43.34 apply (zenon_L102_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.34 apply (zenon_L149_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.34 apply (zenon_L100_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.34 apply (zenon_L101_); trivial. % 43.17/43.34 apply (zenon_L102_); trivial. % 43.17/43.34 (* end of lemma zenon_L387_ *) % 43.17/43.34 assert (zenon_L388_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.34 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H39f zenon_H36f zenon_H2b zenon_H10d zenon_H20a zenon_H2c zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.34 apply (zenon_L4_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.34 apply (zenon_L383_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.34 apply (zenon_L154_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.34 apply (zenon_L156_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.34 apply (zenon_L211_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.34 apply (zenon_L160_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.34 apply (zenon_L161_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.34 apply (zenon_L164_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.34 apply (zenon_L169_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.34 apply (zenon_L387_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.34 apply (zenon_L198_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.34 apply (zenon_L199_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.34 apply (zenon_L200_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.34 apply (zenon_L202_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.34 apply (zenon_L203_); trivial. % 43.17/43.34 apply (zenon_L204_); trivial. % 43.17/43.34 (* end of lemma zenon_L388_ *) % 43.17/43.34 assert (zenon_L389_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.34 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H10d zenon_H2b zenon_H36f zenon_H39f zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.34 apply (zenon_L227_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.34 apply (zenon_L253_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.34 apply (zenon_L154_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.34 apply (zenon_L156_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.34 apply (zenon_L157_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.34 apply (zenon_L160_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.34 apply (zenon_L255_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.34 apply (zenon_L164_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.34 apply (zenon_L232_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.34 apply (zenon_L387_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.34 apply (zenon_L198_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.34 apply (zenon_L199_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.34 apply (zenon_L200_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.34 apply (zenon_L202_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.34 apply (zenon_L203_); trivial. % 43.17/43.34 apply (zenon_L204_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.34 exact (zenon_H15 zenon_H14). % 43.17/43.34 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.34 apply (zenon_L258_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.34 apply (zenon_L173_); trivial. % 43.17/43.34 apply (zenon_L252_); trivial. % 43.17/43.34 (* end of lemma zenon_L389_ *) % 43.17/43.34 assert (zenon_L390_ : (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((op1 (e11) (e11)) = (e11)) -> ((op2 (e21) (e21)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False). % 43.17/43.34 do 0 intro. intros zenon_H3ab zenon_Hd3 zenon_H219 zenon_H36f zenon_H22b. % 43.17/43.34 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))). % 43.17/43.34 intro zenon_D_pnotp. % 43.17/43.34 apply zenon_H3ab. % 43.17/43.34 rewrite <- zenon_D_pnotp. % 43.17/43.34 exact zenon_H36f. % 43.17/43.34 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ac]. % 43.17/43.34 cut (((h3 (e11)) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ad]. % 43.17/43.34 congruence. % 43.17/43.34 elim (classic ((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ]. % 43.17/43.34 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11)))) = ((h3 (e11)) = (h3 (op1 (e11) (e11))))). % 43.17/43.34 intro zenon_D_pnotp. % 43.17/43.34 apply zenon_H3ad. % 43.17/43.34 rewrite <- zenon_D_pnotp. % 43.17/43.34 exact zenon_H3ae. % 43.17/43.34 cut (((h3 (op1 (e11) (e11))) = (h3 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af]. % 43.17/43.34 cut (((h3 (op1 (e11) (e11))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3b0]. % 43.17/43.34 congruence. % 43.17/43.34 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hd4]. % 43.17/43.34 congruence. % 43.17/43.34 exact (zenon_Hd4 zenon_Hd3). % 43.17/43.34 apply zenon_H3af. apply refl_equal. % 43.17/43.34 apply zenon_H3af. apply refl_equal. % 43.17/43.34 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3b1 | zenon_intro zenon_H3b2 ]. % 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e11)) (h3 (e11))))). % 43.17/43.34 intro zenon_D_pnotp. % 43.17/43.34 apply zenon_H3ac. % 43.17/43.34 rewrite <- zenon_D_pnotp. % 43.17/43.34 exact zenon_H3b1. % 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3b3]. % 43.17/43.34 congruence. % 43.17/43.34 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (h3 (e11)) (h3 (e11))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))). % 43.17/43.34 intro zenon_D_pnotp. % 43.17/43.34 apply zenon_H3b3. % 43.17/43.34 rewrite <- zenon_D_pnotp. % 43.17/43.34 exact zenon_H219. % 43.17/43.34 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38b]. % 43.17/43.34 cut (((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b4]. % 43.17/43.34 congruence. % 43.17/43.34 elim (classic ((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [ zenon_intro zenon_H3b1 | zenon_intro zenon_H3b2 ]. % 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11)))) = ((op2 (e21) (e21)) = (op2 (h3 (e11)) (h3 (e11))))). % 43.17/43.34 intro zenon_D_pnotp. % 43.17/43.34 apply zenon_H3b4. % 43.17/43.34 rewrite <- zenon_D_pnotp. % 43.17/43.34 exact zenon_H3b1. % 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (h3 (e11)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b2]. % 43.17/43.34 cut (((op2 (h3 (e11)) (h3 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b5]. % 43.17/43.34 congruence. % 43.17/43.34 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.17/43.34 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.17/43.34 congruence. % 43.17/43.34 apply (zenon_L327_); trivial. % 43.17/43.34 apply (zenon_L327_); trivial. % 43.17/43.34 apply zenon_H3b2. apply refl_equal. % 43.17/43.34 apply zenon_H3b2. apply refl_equal. % 43.17/43.34 exact (zenon_H38b zenon_H22b). % 43.17/43.34 apply zenon_H3b2. apply refl_equal. % 43.17/43.34 apply zenon_H3b2. apply refl_equal. % 43.17/43.34 (* end of lemma zenon_L390_ *) % 43.17/43.34 assert (zenon_L391_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.17/43.34 do 0 intro. intros zenon_H3b6 zenon_H15b zenon_H22b zenon_H36f zenon_H219 zenon_H3ab zenon_H6f zenon_H56 zenon_H57 zenon_H48. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H3b6); [ zenon_intro zenon_Hcf | zenon_intro zenon_H3b7 ]. % 43.17/43.34 exact (zenon_H15b zenon_Hcf). % 43.17/43.34 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H3b8 ]. % 43.17/43.34 apply (zenon_L390_); trivial. % 43.17/43.34 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H72 | zenon_intro zenon_H58 ]. % 43.17/43.34 exact (zenon_H6f zenon_H72). % 43.17/43.34 apply (zenon_L15_); trivial. % 43.17/43.34 (* end of lemma zenon_L391_ *) % 43.17/43.34 assert (zenon_L392_ : ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H33 zenon_H22b zenon_H2f9 zenon_H226 zenon_H3b6 zenon_H15b zenon_H36f zenon_H3ab zenon_H56 zenon_H214 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H216 | zenon_intro zenon_H3ba ]. % 43.17/43.35 exact (zenon_H214 zenon_H216). % 43.17/43.35 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H219 | zenon_intro zenon_H3bb ]. % 43.17/43.35 apply (zenon_L391_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H3bb); [ zenon_intro zenon_H228 | zenon_intro zenon_H233 ]. % 43.17/43.35 exact (zenon_H226 zenon_H228). % 43.17/43.35 apply (zenon_L221_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.35 apply (zenon_L104_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.35 apply (zenon_L132_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.35 apply (zenon_L60_); trivial. % 43.17/43.35 apply (zenon_L133_); trivial. % 43.17/43.35 (* end of lemma zenon_L392_ *) % 43.17/43.35 assert (zenon_L393_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H1fe zenon_H33 zenon_H22b zenon_H2f9 zenon_H226 zenon_H3b6 zenon_H36f zenon_H3ab zenon_H56 zenon_H214 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.17/43.35 apply (zenon_L392_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.35 exact (zenon_H21 zenon_H20). % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.35 apply (zenon_L100_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.35 apply (zenon_L101_); trivial. % 43.17/43.35 apply (zenon_L102_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.35 apply (zenon_L149_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.35 apply (zenon_L100_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.35 apply (zenon_L101_); trivial. % 43.17/43.35 apply (zenon_L102_); trivial. % 43.17/43.35 (* end of lemma zenon_L393_ *) % 43.17/43.35 assert (zenon_L394_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.35 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3b9 zenon_H56 zenon_H3ab zenon_H36f zenon_H3b6 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.35 apply (zenon_L393_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.35 apply (zenon_L230_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.35 apply (zenon_L296_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.35 apply (zenon_L197_); trivial. % 43.17/43.35 apply (zenon_L245_); trivial. % 43.17/43.35 (* end of lemma zenon_L394_ *) % 43.17/43.35 assert (zenon_L395_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) 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(e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = 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(e13))))))))))))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) 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= (e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H30b zenon_H30e zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H324 zenon_H32f zenon_H330 zenon_H1fe zenon_H3b6 zenon_H36f zenon_H3ab zenon_H56 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.17/43.35 apply (zenon_L394_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.35 exact (zenon_H15 zenon_H14). % 43.17/43.35 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.35 apply (zenon_L246_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.35 apply (zenon_L173_); trivial. % 43.17/43.35 apply (zenon_L252_); trivial. % 43.17/43.35 (* end of lemma zenon_L395_ *) % 43.17/43.35 assert (zenon_L396_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((op2 (e21) (e21)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H56 zenon_H3ab zenon_H219 zenon_H36f zenon_H22b zenon_H15b zenon_H3b6 zenon_H19e zenon_H19f zenon_H1a4 zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11a zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.35 apply (zenon_L391_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.35 apply (zenon_L104_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.35 apply (zenon_L132_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.35 apply (zenon_L60_); trivial. % 43.17/43.35 apply (zenon_L133_); trivial. % 43.17/43.35 (* end of lemma zenon_L396_ *) % 43.17/43.35 assert (zenon_L397_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> ((op2 (e21) (e21)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H1fe zenon_H56 zenon_H3ab zenon_H219 zenon_H36f zenon_H22b zenon_H3b6 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.17/43.35 apply (zenon_L396_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.35 exact (zenon_H21 zenon_H20). % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.35 apply (zenon_L100_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.35 apply (zenon_L101_); trivial. % 43.17/43.35 apply (zenon_L102_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.35 apply (zenon_L149_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.35 apply (zenon_L100_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.35 apply (zenon_L101_); trivial. % 43.17/43.35 apply (zenon_L102_); trivial. % 43.17/43.35 (* end of lemma zenon_L397_ *) % 43.17/43.35 assert (zenon_L398_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_Ha8 zenon_Ha2 zenon_H1fe zenon_H3b6 zenon_H36f zenon_H3ab zenon_H56 zenon_H3b9 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H274 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.35 apply (zenon_L393_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.35 apply (zenon_L259_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.35 apply (zenon_L302_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.35 apply (zenon_L197_); trivial. % 43.17/43.35 apply (zenon_L245_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.35 exact (zenon_H15 zenon_H14). % 43.17/43.35 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.35 apply (zenon_L248_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.35 apply (zenon_L173_); trivial. % 43.17/43.35 apply (zenon_L252_); trivial. % 43.17/43.35 (* end of lemma zenon_L398_ *) % 43.17/43.35 assert (zenon_L399_ : (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 43.17/43.35 do 0 intro. intros zenon_H3bc zenon_H67 zenon_H23c zenon_H36f zenon_H22b zenon_H381. % 43.17/43.35 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))). % 43.17/43.35 intro zenon_D_pnotp. % 43.17/43.35 apply zenon_H3bc. % 43.17/43.35 rewrite <- zenon_D_pnotp. % 43.17/43.35 exact zenon_H381. % 43.17/43.35 cut (((e22) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bd]. % 43.17/43.35 cut (((h3 (e12)) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3be]. % 43.17/43.35 congruence. % 43.17/43.35 elim (classic ((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [ zenon_intro zenon_H3bf | zenon_intro zenon_H3c0 ]. % 43.17/43.35 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12)))) = ((h3 (e12)) = (h3 (op1 (e11) (e12))))). % 43.17/43.35 intro zenon_D_pnotp. % 43.17/43.35 apply zenon_H3be. % 43.17/43.35 rewrite <- zenon_D_pnotp. % 43.17/43.35 exact zenon_H3bf. % 43.17/43.35 cut (((h3 (op1 (e11) (e12))) = (h3 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c0]. % 43.17/43.35 cut (((h3 (op1 (e11) (e12))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3c1]. % 43.17/43.35 congruence. % 43.17/43.35 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3c2]. % 43.17/43.35 congruence. % 43.17/43.35 exact (zenon_H3c2 zenon_H67). % 43.17/43.35 apply zenon_H3c0. apply refl_equal. % 43.17/43.35 apply zenon_H3c0. apply refl_equal. % 43.17/43.35 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3c4 ]. % 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((e22) = (op2 (h3 (e11)) (h3 (e12))))). % 43.17/43.35 intro zenon_D_pnotp. % 43.17/43.35 apply zenon_H3bd. % 43.17/43.35 rewrite <- zenon_D_pnotp. % 43.17/43.35 exact zenon_H3c3. % 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c4]. % 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3c5]. % 43.17/43.35 congruence. % 43.17/43.35 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h3 (e11)) (h3 (e12))) = (e22))). % 43.17/43.35 intro zenon_D_pnotp. % 43.17/43.35 apply zenon_H3c5. % 43.17/43.35 rewrite <- zenon_D_pnotp. % 43.17/43.35 exact zenon_H23c. % 43.17/43.35 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 43.17/43.35 cut (((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c6]. % 43.17/43.35 congruence. % 43.17/43.35 elim (classic ((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H3c4 ]. % 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12)))) = ((op2 (e21) (e22)) = (op2 (h3 (e11)) (h3 (e12))))). % 43.17/43.35 intro zenon_D_pnotp. % 43.17/43.35 apply zenon_H3c6. % 43.17/43.35 rewrite <- zenon_D_pnotp. % 43.17/43.35 exact zenon_H3c3. % 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (h3 (e11)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3c4]. % 43.17/43.35 cut (((op2 (h3 (e11)) (h3 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c7]. % 43.17/43.35 congruence. % 43.17/43.35 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e]. % 43.17/43.35 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.17/43.35 congruence. % 43.17/43.35 apply (zenon_L327_); trivial. % 43.17/43.35 exact (zenon_H38e zenon_H381). % 43.17/43.35 apply zenon_H3c4. apply refl_equal. % 43.17/43.35 apply zenon_H3c4. apply refl_equal. % 43.17/43.35 apply zenon_H201. apply refl_equal. % 43.17/43.35 apply zenon_H3c4. apply refl_equal. % 43.17/43.35 apply zenon_H3c4. apply refl_equal. % 43.17/43.35 (* end of lemma zenon_L399_ *) % 43.17/43.35 assert (zenon_L400_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H1f4 zenon_H11c zenon_H1e0 zenon_He8 zenon_H1e4 zenon_H47 zenon_H1c2 zenon_H11a zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H1bf zenon_Hf6 zenon_H57 zenon_H1ba zenon_H1be zenon_H73 zenon_H1b0 zenon_He0 zenon_H161 zenon_H169 zenon_Hbd zenon_H166 zenon_H1b1 zenon_H1aa zenon_Hac zenon_H1c8 zenon_Ha7 zenon_H381 zenon_H22b zenon_H36f zenon_H23c zenon_H3bc zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1df | zenon_intro zenon_H1fa ]. % 43.17/43.35 apply (zenon_L142_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H18f | zenon_intro zenon_H1fb ]. % 43.17/43.35 apply (zenon_L117_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H67 | zenon_intro zenon_H68 ]. % 43.17/43.35 apply (zenon_L399_); trivial. % 43.17/43.35 apply (zenon_L21_); trivial. % 43.17/43.35 (* end of lemma zenon_L400_ *) % 43.17/43.35 assert (zenon_L401_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> False). % 43.17/43.35 do 0 intro. intros zenon_H112 zenon_H3bc zenon_H23c zenon_H36f zenon_H22b zenon_H381. % 43.17/43.35 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.17/43.35 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.17/43.35 apply (zenon_L399_); trivial. % 43.17/43.35 (* end of lemma zenon_L401_ *) % 43.17/43.35 assert (zenon_L402_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H142 zenon_H66 zenon_H1c8 zenon_H1aa zenon_H1b1 zenon_H166 zenon_Hbd zenon_H169 zenon_H161 zenon_H1b0 zenon_H73 zenon_H1be zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_H1c2 zenon_H47 zenon_H1e4 zenon_H1e0 zenon_H11c zenon_H1f4 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H381 zenon_H22b zenon_H36f zenon_H23c zenon_H3bc zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.17/43.35 apply (zenon_L8_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.17/43.35 apply (zenon_L400_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.17/43.35 apply (zenon_L34_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.17/43.35 apply (zenon_L36_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.17/43.35 apply (zenon_L330_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.17/43.35 apply (zenon_L45_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.17/43.35 apply (zenon_L46_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.17/43.35 apply (zenon_L48_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.17/43.35 apply (zenon_L51_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.17/43.35 apply (zenon_L401_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.17/43.35 apply (zenon_L61_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.17/43.35 apply (zenon_L62_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.17/43.35 apply (zenon_L63_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.17/43.35 apply (zenon_L66_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.17/43.35 apply (zenon_L67_); trivial. % 43.17/43.35 apply (zenon_L70_); trivial. % 43.17/43.35 (* end of lemma zenon_L402_ *) % 43.17/43.35 assert (zenon_L403_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((op2 (e21) (e22)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.35 do 0 intro. intros zenon_H1a4 zenon_H3bc zenon_H23c zenon_H36f zenon_H22b zenon_H381 zenon_H6f zenon_H15b zenon_H1f4 zenon_H11c zenon_H1e0 zenon_H1e4 zenon_H47 zenon_H1c2 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1be zenon_H73 zenon_H1b0 zenon_H1b1 zenon_H1aa zenon_H1c8 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.17/43.35 apply (zenon_L402_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.35 exact (zenon_H21 zenon_H20). % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.35 apply (zenon_L100_); trivial. % 43.17/43.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.35 apply (zenon_L101_); trivial. % 43.17/43.35 apply (zenon_L102_); trivial. % 43.17/43.35 (* end of lemma zenon_L403_ *) % 43.17/43.35 assert (zenon_L404_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.36 do 0 intro. intros zenon_H1fe zenon_H381 zenon_H22b zenon_H36f zenon_H23c zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ]. % 43.17/43.36 apply (zenon_L403_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.36 apply (zenon_L104_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.36 apply (zenon_L131_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.36 apply (zenon_L60_); trivial. % 43.17/43.36 apply (zenon_L133_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.36 exact (zenon_H21 zenon_H20). % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.36 apply (zenon_L100_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.36 apply (zenon_L101_); trivial. % 43.17/43.36 apply (zenon_L102_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.36 apply (zenon_L104_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.36 apply (zenon_L132_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.36 apply (zenon_L60_); trivial. % 43.17/43.36 apply (zenon_L133_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.36 exact (zenon_H21 zenon_H20). % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.36 apply (zenon_L100_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.36 apply (zenon_L101_); trivial. % 43.17/43.36 apply (zenon_L102_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.36 apply (zenon_L149_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.36 apply (zenon_L100_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.36 apply (zenon_L101_); trivial. % 43.17/43.36 apply (zenon_L102_); trivial. % 43.17/43.36 (* end of lemma zenon_L404_ *) % 43.17/43.36 assert (zenon_L405_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.36 do 0 intro. intros zenon_H342 zenon_H23a zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H22b zenon_H381 zenon_H1fe zenon_H2ad zenon_H242 zenon_H2c zenon_H226 zenon_H234 zenon_H23e zenon_H33. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H23b | zenon_intro zenon_H343 ]. % 43.17/43.36 apply (zenon_L168_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H343); [ zenon_intro zenon_H23c | zenon_intro zenon_H344 ]. % 43.17/43.36 apply (zenon_L404_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2b2 ]. % 43.17/43.36 exact (zenon_H2ad zenon_H2ab). % 43.17/43.36 apply (zenon_L319_); trivial. % 43.17/43.36 (* end of lemma zenon_L405_ *) % 43.17/43.36 assert (zenon_L406_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.36 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H381 zenon_H22b zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.36 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.17/43.36 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.17/43.36 apply (zenon_L404_); trivial. % 43.17/43.36 (* end of lemma zenon_L406_ *) % 43.17/43.36 assert (zenon_L407_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.36 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H2c zenon_H20a zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.36 apply (zenon_L227_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.36 apply (zenon_L253_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.36 apply (zenon_L154_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.36 apply (zenon_L156_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.36 apply (zenon_L157_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.36 apply (zenon_L160_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.36 apply (zenon_L255_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.36 apply (zenon_L164_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.36 apply (zenon_L232_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.36 apply (zenon_L406_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.36 apply (zenon_L198_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.36 apply (zenon_L199_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.36 apply (zenon_L200_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.36 apply (zenon_L202_); trivial. % 43.17/43.36 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.36 apply (zenon_L203_); trivial. % 43.17/43.36 apply (zenon_L204_); trivial. % 43.17/43.36 (* end of lemma zenon_L407_ *) % 43.17/43.36 assert (zenon_L408_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = 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(e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23))))))))\/((((op2 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e21) (e21)) = (e21))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.36 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H21a zenon_H304 zenon_H310 zenon_H279 zenon_H324 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.37 apply (zenon_L407_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.37 exact (zenon_H15 zenon_H14). % 43.17/43.37 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.37 apply (zenon_L243_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.37 apply (zenon_L173_); trivial. % 43.17/43.37 apply (zenon_L252_); trivial. % 43.17/43.37 (* end of lemma zenon_L408_ *) % 43.17/43.37 assert (zenon_L409_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e22)) = (e21))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((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 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.37 do 0 intro. intros zenon_H36d zenon_H226 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H32b zenon_H276 zenon_H264 zenon_H242 zenon_H234 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H309 zenon_H304 zenon_H15 zenon_H256 zenon_H9c zenon_H346 zenon_H249 zenon_H345 zenon_H30b zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H31e zenon_H352 zenon_H337 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ]. % 43.17/43.37 apply (zenon_L405_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.37 apply (zenon_L230_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.37 apply (zenon_L295_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.37 apply (zenon_L197_); trivial. % 43.17/43.37 apply (zenon_L245_); trivial. % 43.17/43.37 (* end of lemma zenon_L409_ *) % 43.17/43.37 assert (zenon_L410_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e22)) = (e21))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 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(e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 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(e21)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e20) (op2 (e20) (e23))) = (e23))))))))\/((((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e22) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e22))) -> False). % 43.17/43.37 do 0 intro. intros zenon_H36d zenon_H226 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H330 zenon_H23e zenon_H234 zenon_H242 zenon_H32b zenon_H324 zenon_H32f zenon_H2e6 zenon_H30e zenon_H2fe zenon_H93 zenon_H316 zenon_H311 zenon_H321 zenon_Ha8 zenon_Ha2 zenon_H33b zenon_H26e zenon_H2c zenon_H80 zenon_H304 zenon_H15 zenon_H2c7 zenon_H256 zenon_H9c zenon_H346 zenon_H249 zenon_H345 zenon_H30b zenon_H2d7 zenon_H29d zenon_H214 zenon_H85 zenon_H33e zenon_H23a zenon_H27c zenon_H2f9 zenon_H33c zenon_H301 zenon_H25d zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H204 zenon_H20a zenon_H290 zenon_H24d zenon_H2e3 zenon_H2eb zenon_H2de zenon_H2ee zenon_H2f3 zenon_H2f6 zenon_H33d zenon_H31e zenon_H352 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H276 zenon_H337 zenon_H288 zenon_H33 zenon_H274 zenon_H2f1. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ]. % 43.17/43.37 apply (zenon_L405_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.37 apply (zenon_L260_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.37 apply (zenon_L290_); trivial. % 43.17/43.37 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.37 apply (zenon_L197_); trivial. % 43.17/43.37 apply (zenon_L237_); trivial. % 43.17/43.37 (* end of lemma zenon_L410_ *) % 43.17/43.37 assert (zenon_L411_ : (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H21a zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ]. % 43.17/43.38 apply (zenon_L408_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.17/43.38 apply (zenon_L230_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.17/43.38 exact (zenon_H21a zenon_H219). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.17/43.38 apply (zenon_L209_); trivial. % 43.17/43.38 apply (zenon_L260_); trivial. % 43.17/43.38 (* end of lemma zenon_L411_ *) % 43.17/43.38 assert (zenon_L412_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H36d zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.17/43.38 apply (zenon_L409_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.38 exact (zenon_H15 zenon_H14). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.38 apply (zenon_L225_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.38 apply (zenon_L173_); trivial. % 43.17/43.38 apply (zenon_L252_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.38 apply (zenon_L230_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.38 apply (zenon_L296_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.38 apply (zenon_L197_); trivial. % 43.17/43.38 apply (zenon_L245_); trivial. % 43.17/43.38 (* end of lemma zenon_L412_ *) % 43.17/43.38 assert (zenon_L413_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H20a zenon_H204 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H93 zenon_H9c zenon_H304 zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.38 apply (zenon_L407_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.38 exact (zenon_H15 zenon_H14). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.38 apply (zenon_L212_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.38 apply (zenon_L173_); trivial. % 43.17/43.38 apply (zenon_L252_); trivial. % 43.17/43.38 (* end of lemma zenon_L413_ *) % 43.17/43.38 assert (zenon_L414_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H33b zenon_H2c7 zenon_H304 zenon_H9c zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H20a zenon_H2eb zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H288 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H276 zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.17/43.38 apply (zenon_L413_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.38 exact (zenon_H15 zenon_H14). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.38 apply (zenon_L212_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.38 apply (zenon_L173_); trivial. % 43.17/43.38 apply (zenon_L252_); trivial. % 43.17/43.38 (* end of lemma zenon_L414_ *) % 43.17/43.38 assert (zenon_L415_ : ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((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 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H32b zenon_H2d7 zenon_H23a zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H234 zenon_H242 zenon_H36d zenon_H33b zenon_H345 zenon_H29d zenon_H33e zenon_H33c zenon_H342 zenon_H349 zenon_H33d zenon_H31e zenon_H352 zenon_H354 zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H2c7 zenon_H304 zenon_H9c zenon_H93 zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H20a zenon_H2eb zenon_H214 zenon_H30b zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3bc zenon_H36f zenon_H381 zenon_H1fe zenon_H264 zenon_H276 zenon_H337 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ]. % 43.17/43.38 apply (zenon_L405_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.38 apply (zenon_L414_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.38 apply (zenon_L290_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.38 apply (zenon_L197_); trivial. % 43.17/43.38 apply (zenon_L245_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.38 exact (zenon_H15 zenon_H14). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.38 apply (zenon_L225_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.38 apply (zenon_L173_); trivial. % 43.17/43.38 apply (zenon_L252_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.38 apply (zenon_L413_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.38 apply (zenon_L270_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.38 apply (zenon_L197_); trivial. % 43.17/43.38 apply (zenon_L245_); trivial. % 43.17/43.38 (* end of lemma zenon_L415_ *) % 43.17/43.38 assert (zenon_L416_ : ((op2 (e21) (e21)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = 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(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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H219 zenon_H337 zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H27c zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_Ha2 zenon_H9c zenon_H354 zenon_H352 zenon_H33d zenon_H349 zenon_H342 zenon_H33c zenon_H33e zenon_H29d zenon_H345 zenon_H33b zenon_H36d zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.17/43.38 apply (zenon_L415_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.38 exact (zenon_H15 zenon_H14). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.38 apply (zenon_L251_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.38 apply (zenon_L173_); trivial. % 43.17/43.38 apply (zenon_L252_); trivial. % 43.17/43.38 (* end of lemma zenon_L416_ *) % 43.17/43.38 assert (zenon_L417_ : ((~((op2 (e22) (e22)) = (e22)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H36d zenon_H1fe zenon_H381 zenon_H36f zenon_H3bc zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H33b zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.17/43.38 apply (zenon_L410_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.38 exact (zenon_H15 zenon_H14). % 43.17/43.38 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.38 apply (zenon_L225_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.38 apply (zenon_L173_); trivial. % 43.17/43.38 apply (zenon_L252_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.38 apply (zenon_L259_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.38 apply (zenon_L302_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.38 apply (zenon_L197_); trivial. % 43.17/43.38 apply (zenon_L245_); trivial. % 43.17/43.38 (* end of lemma zenon_L417_ *) % 43.17/43.38 assert (zenon_L418_ : (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H3c8 zenon_H75 zenon_H25e zenon_H36f zenon_H22b zenon_H30 zenon_H33. % 43.17/43.38 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))). % 43.17/43.38 intro zenon_D_pnotp. % 43.17/43.38 apply zenon_H3c8. % 43.17/43.38 rewrite <- zenon_D_pnotp. % 43.17/43.38 exact zenon_H30. % 43.17/43.38 cut (((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c9]. % 43.17/43.38 cut (((h3 (e13)) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ca]. % 43.17/43.38 congruence. % 43.17/43.38 elim (classic ((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [ zenon_intro zenon_H3cb | zenon_intro zenon_H3cc ]. % 43.17/43.38 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13)))) = ((h3 (e13)) = (h3 (op1 (e11) (e13))))). % 43.17/43.38 intro zenon_D_pnotp. % 43.17/43.38 apply zenon_H3ca. % 43.17/43.38 rewrite <- zenon_D_pnotp. % 43.17/43.38 exact zenon_H3cb. % 43.17/43.38 cut (((h3 (op1 (e11) (e13))) = (h3 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3cc]. % 43.17/43.38 cut (((h3 (op1 (e11) (e13))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3cd]. % 43.17/43.38 congruence. % 43.17/43.38 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3ce]. % 43.17/43.38 congruence. % 43.17/43.38 exact (zenon_H3ce zenon_H75). % 43.17/43.38 apply zenon_H3cc. apply refl_equal. % 43.17/43.38 apply zenon_H3cc. apply refl_equal. % 43.17/43.38 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3cf | zenon_intro zenon_H3d0 ]. % 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e22) (e22)) = (op2 (h3 (e11)) (h3 (e13))))). % 43.17/43.38 intro zenon_D_pnotp. % 43.17/43.38 apply zenon_H3c9. % 43.17/43.38 rewrite <- zenon_D_pnotp. % 43.17/43.38 exact zenon_H3cf. % 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d0]. % 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d1]. % 43.17/43.38 congruence. % 43.17/43.38 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h3 (e11)) (h3 (e13))) = (op2 (e22) (e22)))). % 43.17/43.38 intro zenon_D_pnotp. % 43.17/43.38 apply zenon_H3d1. % 43.17/43.38 rewrite <- zenon_D_pnotp. % 43.17/43.38 exact zenon_H25e. % 43.17/43.38 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 43.17/43.38 cut (((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d2]. % 43.17/43.38 congruence. % 43.17/43.38 elim (classic ((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [ zenon_intro zenon_H3cf | zenon_intro zenon_H3d0 ]. % 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13)))) = ((op2 (e21) (e23)) = (op2 (h3 (e11)) (h3 (e13))))). % 43.17/43.38 intro zenon_D_pnotp. % 43.17/43.38 apply zenon_H3d2. % 43.17/43.38 rewrite <- zenon_D_pnotp. % 43.17/43.38 exact zenon_H3cf. % 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (h3 (e11)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3d0]. % 43.17/43.38 cut (((op2 (h3 (e11)) (h3 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3d3]. % 43.17/43.38 congruence. % 43.17/43.38 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f]. % 43.17/43.38 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.17/43.38 congruence. % 43.17/43.38 apply (zenon_L327_); trivial. % 43.17/43.38 apply (zenon_L350_); trivial. % 43.17/43.38 apply zenon_H3d0. apply refl_equal. % 43.17/43.38 apply zenon_H3d0. apply refl_equal. % 43.17/43.38 exact (zenon_H3d zenon_H33). % 43.17/43.38 apply zenon_H3d0. apply refl_equal. % 43.17/43.38 apply zenon_H3d0. apply refl_equal. % 43.17/43.38 (* end of lemma zenon_L418_ *) % 43.17/43.38 assert (zenon_L419_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H78 zenon_H50 zenon_H4f zenon_H57 zenon_H56 zenon_H48 zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H3c8 zenon_H25e zenon_H36f zenon_H22b zenon_H30 zenon_H33. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H51 | zenon_intro zenon_H79 ]. % 43.17/43.38 apply (zenon_L13_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H58 | zenon_intro zenon_H7a ]. % 43.17/43.38 apply (zenon_L15_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H68 | zenon_intro zenon_H75 ]. % 43.17/43.38 apply (zenon_L21_); trivial. % 43.17/43.38 apply (zenon_L418_); trivial. % 43.17/43.38 (* end of lemma zenon_L419_ *) % 43.17/43.38 assert (zenon_L420_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H30 zenon_H36f zenon_H3c8 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H50 zenon_H78 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ]. % 43.17/43.38 apply (zenon_L31_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ]. % 43.17/43.38 apply (zenon_L419_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ]. % 43.17/43.38 apply (zenon_L179_); trivial. % 43.17/43.38 apply (zenon_L183_); trivial. % 43.17/43.38 (* end of lemma zenon_L420_ *) % 43.17/43.38 assert (zenon_L421_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.38 do 0 intro. intros zenon_Ha7 zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H30 zenon_H36f zenon_H3c8 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H48 zenon_H56 zenon_H57 zenon_H4f zenon_H78 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.38 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.17/43.38 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.17/43.38 apply (zenon_L420_); trivial. % 43.17/43.38 (* end of lemma zenon_L421_ *) % 43.17/43.38 assert (zenon_L422_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H39c zenon_H183 zenon_H11a zenon_H33 zenon_H30 zenon_H22b zenon_H36f zenon_H25e zenon_H3c8 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H74 | zenon_intro zenon_H39d ]. % 43.17/43.38 apply (zenon_L146_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H75 | zenon_intro zenon_H39e ]. % 43.17/43.38 apply (zenon_L418_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H39e); [ zenon_intro zenon_H104 | zenon_intro zenon_H13e ]. % 43.17/43.38 apply (zenon_L56_); trivial. % 43.17/43.38 apply (zenon_L69_); trivial. % 43.17/43.38 (* end of lemma zenon_L422_ *) % 43.17/43.38 assert (zenon_L423_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e12) (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)))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H189 zenon_Hc1 zenon_H105 zenon_H3c8 zenon_H25e zenon_H36f zenon_H22b zenon_H30 zenon_H33 zenon_H11a zenon_H39c zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H100 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ]. % 43.17/43.38 apply (zenon_L422_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H68 | zenon_intro zenon_H18b ]. % 43.17/43.38 apply (zenon_L21_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_Hff | zenon_intro zenon_H185 ]. % 43.17/43.38 apply (zenon_L55_); trivial. % 43.17/43.38 apply (zenon_L133_); trivial. % 43.17/43.38 (* end of lemma zenon_L423_ *) % 43.17/43.38 assert (zenon_L424_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (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 (e12) (op1 (e12) (e13))) = (e13))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H169 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H100 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H39c zenon_H11a zenon_H30 zenon_H36f zenon_H3c8 zenon_H105 zenon_Hc1 zenon_H189 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H92 | zenon_intro zenon_H280 ]. % 43.17/43.38 apply (zenon_L31_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H25e | zenon_intro zenon_H281 ]. % 43.17/43.38 apply (zenon_L423_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H263 | zenon_intro zenon_H275 ]. % 43.17/43.38 apply (zenon_L179_); trivial. % 43.17/43.38 apply (zenon_L183_); trivial. % 43.17/43.38 (* end of lemma zenon_L424_ *) % 43.17/43.38 assert (zenon_L425_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (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) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H112 zenon_H27c zenon_Ha3 zenon_H9c zenon_H99 zenon_H80 zenon_H93 zenon_Ha2 zenon_H169 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H39c zenon_H11a zenon_H30 zenon_H36f zenon_H3c8 zenon_H105 zenon_Hc1 zenon_H189 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.38 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.17/43.38 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.17/43.38 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.17/43.38 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 43.17/43.38 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 43.17/43.38 apply (zenon_L424_); trivial. % 43.17/43.38 (* end of lemma zenon_L425_ *) % 43.17/43.38 assert (zenon_L426_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((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 (e22) (e23)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.17/43.38 do 0 intro. intros zenon_H142 zenon_H78 zenon_H4f zenon_H56 zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_He8 zenon_H276 zenon_H26e zenon_H22b zenon_H33 zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H189 zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_H6a zenon_H66 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H169 zenon_Ha2 zenon_H93 zenon_H80 zenon_H99 zenon_H9c zenon_Ha3 zenon_H27c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.17/43.38 apply (zenon_L8_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.17/43.38 apply (zenon_L421_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.17/43.38 apply (zenon_L34_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.17/43.38 apply (zenon_L36_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.17/43.38 apply (zenon_L42_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.17/43.38 apply (zenon_L45_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.17/43.38 apply (zenon_L46_); trivial. % 43.17/43.38 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.17/43.39 apply (zenon_L48_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.17/43.39 apply (zenon_L51_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.17/43.39 apply (zenon_L425_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.17/43.39 apply (zenon_L61_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.17/43.39 apply (zenon_L62_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.17/43.39 apply (zenon_L63_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.17/43.39 apply (zenon_L66_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.17/43.39 apply (zenon_L67_); trivial. % 43.17/43.39 apply (zenon_L70_); trivial. % 43.17/43.39 (* end of lemma zenon_L426_ *) % 43.17/43.39 assert (zenon_L427_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e11) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.17/43.39 do 0 intro. intros zenon_H142 zenon_H56 zenon_H4f zenon_H78 zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_He8 zenon_H33 zenon_H2c zenon_H20a zenon_H28a zenon_H27c zenon_Ha3 zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H169 zenon_H6e zenon_H60 zenon_H5f zenon_H6f zenon_H66 zenon_H6a zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H189 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H22b zenon_H26e zenon_H276 zenon_H15 zenon_H29c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.17/43.39 apply (zenon_L8_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.17/43.39 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.17/43.39 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.17/43.39 exact (zenon_H15 zenon_H14). % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.17/43.39 apply (zenon_L420_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.17/43.39 apply (zenon_L188_); trivial. % 43.17/43.39 apply (zenon_L155_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.17/43.39 apply (zenon_L34_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.17/43.39 apply (zenon_L36_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.17/43.39 apply (zenon_L42_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.17/43.39 apply (zenon_L45_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.17/43.39 apply (zenon_L46_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.17/43.39 apply (zenon_L48_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.17/43.39 apply (zenon_L51_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.17/43.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H117. zenon_intro zenon_H116. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H100. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.17/43.39 exact (zenon_H15 zenon_H14). % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.17/43.39 apply (zenon_L424_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.17/43.39 apply (zenon_L188_); trivial. % 43.17/43.39 apply (zenon_L155_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.17/43.39 apply (zenon_L61_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.17/43.39 apply (zenon_L62_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.17/43.39 apply (zenon_L63_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.17/43.39 apply (zenon_L66_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.17/43.39 apply (zenon_L67_); trivial. % 43.17/43.39 apply (zenon_L70_); trivial. % 43.17/43.39 (* end of lemma zenon_L427_ *) % 43.17/43.39 assert (zenon_L428_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.39 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H276 zenon_H26e zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H93 zenon_H80 zenon_H9c zenon_Ha3 zenon_H27c zenon_H20a zenon_H2c zenon_H33 zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.17/43.39 apply (zenon_L427_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.39 exact (zenon_H21 zenon_H20). % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.39 apply (zenon_L100_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.39 apply (zenon_L101_); trivial. % 43.17/43.39 apply (zenon_L102_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.39 apply (zenon_L104_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.39 apply (zenon_L132_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.39 apply (zenon_L60_); trivial. % 43.17/43.39 apply (zenon_L133_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.39 apply (zenon_L149_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.39 apply (zenon_L100_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.39 apply (zenon_L101_); trivial. % 43.17/43.39 apply (zenon_L102_); trivial. % 43.17/43.39 (* end of lemma zenon_L428_ *) % 43.17/43.39 assert (zenon_L429_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = 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(e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.39 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H9c zenon_H27c zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.39 apply (zenon_L4_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 43.17/43.39 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.17/43.39 apply (zenon_L426_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.39 exact (zenon_H21 zenon_H20). % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.39 apply (zenon_L100_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.39 apply (zenon_L101_); trivial. % 43.17/43.39 apply (zenon_L102_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.39 apply (zenon_L104_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.39 apply (zenon_L132_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.39 apply (zenon_L60_); trivial. % 43.17/43.39 apply (zenon_L133_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.39 apply (zenon_L149_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.39 apply (zenon_L100_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.39 apply (zenon_L101_); trivial. % 43.17/43.39 apply (zenon_L102_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.39 apply (zenon_L154_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.39 apply (zenon_L156_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.39 apply (zenon_L211_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.39 apply (zenon_L160_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.39 apply (zenon_L161_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.39 apply (zenon_L164_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.39 apply (zenon_L169_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.39 apply (zenon_L428_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.39 apply (zenon_L198_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.39 apply (zenon_L199_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.39 apply (zenon_L200_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.39 apply (zenon_L202_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.39 apply (zenon_L203_); trivial. % 43.17/43.39 apply (zenon_L204_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.39 exact (zenon_H15 zenon_H14). % 43.17/43.39 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.39 apply (zenon_L251_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.39 apply (zenon_L173_); trivial. % 43.17/43.39 apply (zenon_L252_); trivial. % 43.17/43.39 (* end of lemma zenon_L429_ *) % 43.17/43.39 assert (zenon_L430_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.39 do 0 intro. intros zenon_H2c7 zenon_H304 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H2c zenon_H20a zenon_H27c zenon_H9c zenon_H80 zenon_H93 zenon_Ha2 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H15 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.39 apply (zenon_L227_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.39 apply (zenon_L253_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.39 apply (zenon_L154_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.39 apply (zenon_L156_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.39 apply (zenon_L157_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.39 apply (zenon_L160_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.39 apply (zenon_L255_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.39 apply (zenon_L164_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.39 apply (zenon_L232_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.39 apply (zenon_L428_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.39 apply (zenon_L198_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.39 apply (zenon_L199_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.39 apply (zenon_L200_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.39 apply (zenon_L202_); trivial. % 43.17/43.39 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.40 apply (zenon_L203_); trivial. % 43.17/43.40 apply (zenon_L204_); trivial. % 43.17/43.40 (* end of lemma zenon_L430_ *) % 43.17/43.40 assert (zenon_L431_ : (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.40 do 0 intro. intros zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H21a zenon_H33b zenon_H9c zenon_Ha2 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H27c zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H337 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ]. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.40 apply (zenon_L430_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.40 exact (zenon_H15 zenon_H14). % 43.17/43.40 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.40 apply (zenon_L243_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.40 apply (zenon_L173_); trivial. % 43.17/43.40 apply (zenon_L252_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.17/43.40 apply (zenon_L230_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.17/43.40 exact (zenon_H21a zenon_H219). % 43.17/43.40 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.17/43.40 apply (zenon_L209_); trivial. % 43.17/43.40 apply (zenon_L260_); trivial. % 43.17/43.40 (* end of lemma zenon_L431_ *) % 43.17/43.40 assert (zenon_L432_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.40 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_Ha2 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.40 apply (zenon_L429_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.40 apply (zenon_L230_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.40 apply (zenon_L296_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.40 apply (zenon_L197_); trivial. % 43.17/43.40 apply (zenon_L245_); trivial. % 43.17/43.40 (* end of lemma zenon_L432_ *) % 43.17/43.40 assert (zenon_L433_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = 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(e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.40 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H93 zenon_H9c zenon_H27c zenon_H20a zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H204 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H25d zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_H304 zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.40 apply (zenon_L430_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.40 exact (zenon_H15 zenon_H14). % 43.17/43.40 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.40 apply (zenon_L212_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.40 apply (zenon_L173_); trivial. % 43.17/43.40 apply (zenon_L252_); trivial. % 43.17/43.40 (* end of lemma zenon_L433_ *) % 43.17/43.40 assert (zenon_L434_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.40 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H2fe zenon_H2d7 zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H2c7 zenon_H304 zenon_H85 zenon_H27d zenon_H249 zenon_H24d zenon_H25d zenon_H256 zenon_H253 zenon_H260 zenon_Ha8 zenon_H204 zenon_H2eb zenon_H214 zenon_H30b zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H20a zenon_H27c zenon_H9c zenon_H93 zenon_Ha2 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H264 zenon_H276 zenon_H337 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.40 apply (zenon_L429_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.40 apply (zenon_L433_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.40 apply (zenon_L270_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.40 apply (zenon_L197_); trivial. % 43.17/43.40 apply (zenon_L245_); trivial. % 43.17/43.40 (* end of lemma zenon_L434_ *) % 43.17/43.40 assert (zenon_L435_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 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(e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.40 do 0 intro. intros zenon_H33b zenon_H219 zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3c8 zenon_H36f zenon_H30 zenon_H39c zenon_Ha2 zenon_H9c zenon_H27c zenon_H78 zenon_H4f zenon_H56 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_Ha8 zenon_H260 zenon_H253 zenon_H256 zenon_H24d zenon_H249 zenon_H27d zenon_H85 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.17/43.40 apply (zenon_L434_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.40 exact (zenon_H15 zenon_H14). % 43.17/43.40 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.40 apply (zenon_L251_); trivial. % 43.17/43.40 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.40 apply (zenon_L173_); trivial. % 43.17/43.40 apply (zenon_L252_); trivial. % 43.17/43.40 (* end of lemma zenon_L435_ *) % 43.17/43.40 assert (zenon_L436_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = 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(e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> 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(e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e21) (op2 (e21) (e23))) = (e23))))))))\/((((op2 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 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(e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H56 zenon_H4f zenon_H78 zenon_H39c zenon_H30 zenon_H36f zenon_H3c8 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_Ha2 zenon_Ha8 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.41 apply (zenon_L429_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.41 apply (zenon_L259_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.41 apply (zenon_L302_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.41 apply (zenon_L197_); trivial. % 43.17/43.41 apply (zenon_L245_); trivial. % 43.17/43.41 (* end of lemma zenon_L436_ *) % 43.17/43.41 assert (zenon_L437_ : (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H3d4 zenon_H36f zenon_H160 zenon_H2ea zenon_H22b zenon_H381 zenon_H2b zenon_H2c. % 43.17/43.41 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))). % 43.17/43.41 intro zenon_D_pnotp. % 43.17/43.41 apply zenon_H3d4. % 43.17/43.41 rewrite <- zenon_D_pnotp. % 43.17/43.41 exact zenon_H36f. % 43.17/43.41 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3d5]. % 43.17/43.41 cut (((h3 (e11)) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3d6]. % 43.17/43.41 congruence. % 43.17/43.41 elim (classic ((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H3d8 ]. % 43.17/43.41 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10)))) = ((h3 (e11)) = (h3 (op1 (e12) (e10))))). % 43.17/43.41 intro zenon_D_pnotp. % 43.17/43.41 apply zenon_H3d6. % 43.17/43.41 rewrite <- zenon_D_pnotp. % 43.17/43.41 exact zenon_H3d7. % 43.17/43.41 cut (((h3 (op1 (e12) (e10))) = (h3 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3d8]. % 43.17/43.41 cut (((h3 (op1 (e12) (e10))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3d9]. % 43.17/43.41 congruence. % 43.17/43.41 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3da]. % 43.17/43.41 congruence. % 43.17/43.41 exact (zenon_H3da zenon_H160). % 43.17/43.41 apply zenon_H3d8. apply refl_equal. % 43.17/43.41 apply zenon_H3d8. apply refl_equal. % 43.17/43.41 elim (classic ((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [ zenon_intro zenon_H3db | zenon_intro zenon_H3dc ]. % 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10)))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e12)) (h3 (e10))))). % 43.17/43.41 intro zenon_D_pnotp. % 43.17/43.41 apply zenon_H3d5. % 43.17/43.41 rewrite <- zenon_D_pnotp. % 43.17/43.41 exact zenon_H3db. % 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3dc]. % 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H3dd]. % 43.17/43.41 congruence. % 43.17/43.41 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (h3 (e12)) (h3 (e10))) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))). % 43.17/43.41 intro zenon_D_pnotp. % 43.17/43.41 apply zenon_H3dd. % 43.17/43.41 rewrite <- zenon_D_pnotp. % 43.17/43.41 exact zenon_H2ea. % 43.17/43.41 cut (((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H38b]. % 43.17/43.41 cut (((op2 (e22) (e20)) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3de]. % 43.17/43.41 congruence. % 43.17/43.41 elim (classic ((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [ zenon_intro zenon_H3db | zenon_intro zenon_H3dc ]. % 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10)))) = ((op2 (e22) (e20)) = (op2 (h3 (e12)) (h3 (e10))))). % 43.17/43.41 intro zenon_D_pnotp. % 43.17/43.41 apply zenon_H3de. % 43.17/43.41 rewrite <- zenon_D_pnotp. % 43.17/43.41 exact zenon_H3db. % 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (h3 (e12)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3dc]. % 43.17/43.41 cut (((op2 (h3 (e12)) (h3 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3df]. % 43.17/43.41 congruence. % 43.17/43.41 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 43.17/43.41 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e]. % 43.17/43.41 congruence. % 43.17/43.41 exact (zenon_H38e zenon_H381). % 43.17/43.41 apply (zenon_L9_); trivial. % 43.17/43.41 apply zenon_H3dc. apply refl_equal. % 43.17/43.41 apply zenon_H3dc. apply refl_equal. % 43.17/43.41 exact (zenon_H38b zenon_H22b). % 43.17/43.41 apply zenon_H3dc. apply refl_equal. % 43.17/43.41 apply zenon_H3dc. apply refl_equal. % 43.17/43.41 (* end of lemma zenon_L437_ *) % 43.17/43.41 assert (zenon_L438_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H1b0 zenon_H50 zenon_H1a8 zenon_H161 zenon_H15f zenon_H1b1 zenon_H1aa zenon_H48. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1b2 ]. % 43.17/43.41 apply (zenon_L105_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H160 | zenon_intro zenon_H1b3 ]. % 43.17/43.41 apply (zenon_L78_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hed | zenon_intro zenon_H1ab ]. % 43.17/43.41 exact (zenon_H1b1 zenon_Hed). % 43.17/43.41 apply (zenon_L108_); trivial. % 43.17/43.41 (* end of lemma zenon_L438_ *) % 43.17/43.41 assert (zenon_L439_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H22b zenon_H2ea zenon_H36f zenon_H3d4 zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H50 zenon_H1b0 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ]. % 43.17/43.41 apply (zenon_L437_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 43.17/43.41 apply (zenon_L438_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ]. % 43.17/43.41 apply (zenon_L39_); trivial. % 43.17/43.41 apply (zenon_L54_); trivial. % 43.17/43.41 (* end of lemma zenon_L439_ *) % 43.17/43.41 assert (zenon_L440_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H1b0 zenon_H50 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 43.17/43.41 apply (zenon_L439_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 43.17/43.41 apply (zenon_L278_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 43.17/43.41 apply (zenon_L209_); trivial. % 43.17/43.41 apply (zenon_L189_); trivial. % 43.17/43.41 (* end of lemma zenon_L440_ *) % 43.17/43.41 assert (zenon_L441_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_Ha7 zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.17/43.41 apply (zenon_L440_); trivial. % 43.17/43.41 (* end of lemma zenon_L441_ *) % 43.17/43.41 assert (zenon_L442_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((op1 (e12) (e11)) = (e12)) -> (~((e11) = (e12))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H22b zenon_H2ea zenon_H36f zenon_H3d4 zenon_H114 zenon_H169 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ]. % 43.17/43.41 apply (zenon_L437_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 43.17/43.41 apply (zenon_L81_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ]. % 43.17/43.41 apply (zenon_L39_); trivial. % 43.17/43.41 apply (zenon_L54_); trivial. % 43.17/43.41 (* end of lemma zenon_L442_ *) % 43.17/43.41 assert (zenon_L443_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H112 zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H169 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 43.17/43.41 apply (zenon_L442_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 43.17/43.41 apply (zenon_L278_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 43.17/43.41 apply (zenon_L209_); trivial. % 43.17/43.41 apply (zenon_L189_); trivial. % 43.17/43.41 (* end of lemma zenon_L443_ *) % 43.17/43.41 assert (zenon_L444_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H142 zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H1b0 zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H99 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H169 zenon_Hf9 zenon_H2f3 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.17/43.41 apply (zenon_L8_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.17/43.41 apply (zenon_L441_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.17/43.41 apply (zenon_L34_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.17/43.41 apply (zenon_L36_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.17/43.41 apply (zenon_L330_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.17/43.41 apply (zenon_L45_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.17/43.41 apply (zenon_L46_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.17/43.41 apply (zenon_L48_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.17/43.41 apply (zenon_L51_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.17/43.41 apply (zenon_L443_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.17/43.41 apply (zenon_L61_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.17/43.41 apply (zenon_L62_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.17/43.41 apply (zenon_L63_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.17/43.41 apply (zenon_L66_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.17/43.41 apply (zenon_L67_); trivial. % 43.17/43.41 apply (zenon_L70_); trivial. % 43.17/43.41 (* end of lemma zenon_L444_ *) % 43.17/43.41 assert (zenon_L445_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H2f3 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33 zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_L444_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.41 exact (zenon_H21 zenon_H20). % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.41 apply (zenon_L100_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.41 apply (zenon_L101_); trivial. % 43.17/43.41 apply (zenon_L102_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.41 exact (zenon_H21 zenon_H20). % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.41 apply (zenon_L100_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.41 apply (zenon_L101_); trivial. % 43.17/43.41 apply (zenon_L102_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.41 apply (zenon_L104_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.41 apply (zenon_L132_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.41 apply (zenon_L60_); trivial. % 43.17/43.41 apply (zenon_L133_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.41 exact (zenon_H21 zenon_H20). % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.41 apply (zenon_L100_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.41 apply (zenon_L101_); trivial. % 43.17/43.41 apply (zenon_L102_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.41 apply (zenon_L149_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.41 apply (zenon_L100_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.41 apply (zenon_L101_); trivial. % 43.17/43.41 apply (zenon_L102_); trivial. % 43.17/43.41 (* end of lemma zenon_L445_ *) % 43.17/43.41 assert (zenon_L446_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_Ha7 zenon_H29c zenon_H15 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H16b zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H1b0 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48 zenon_H2f3 zenon_H28a zenon_H20a zenon_H2c zenon_H33. % 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.17/43.41 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.17/43.41 exact (zenon_H15 zenon_H14). % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.17/43.41 apply (zenon_L440_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.17/43.41 apply (zenon_L188_); trivial. % 43.17/43.41 apply (zenon_L155_); trivial. % 43.17/43.41 (* end of lemma zenon_L446_ *) % 43.17/43.41 assert (zenon_L447_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((e11) = (e12))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H112 zenon_H2f3 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H169 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H16b zenon_H282 zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 43.17/43.41 apply (zenon_L442_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 43.17/43.41 apply (zenon_L217_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 43.17/43.41 apply (zenon_L209_); trivial. % 43.17/43.41 apply (zenon_L189_); trivial. % 43.17/43.41 (* end of lemma zenon_L447_ *) % 43.17/43.41 assert (zenon_L448_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H142 zenon_H20a zenon_H28a zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H15 zenon_H29c zenon_Hac zenon_Hb2 zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H2f1 zenon_H282 zenon_H16b zenon_H2c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H169 zenon_Hf9 zenon_H2f3 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.17/43.41 apply (zenon_L8_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.17/43.41 apply (zenon_L446_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.17/43.41 apply (zenon_L34_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.17/43.41 apply (zenon_L36_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.17/43.41 apply (zenon_L330_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.17/43.41 apply (zenon_L45_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.17/43.41 apply (zenon_L46_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.17/43.41 apply (zenon_L48_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.17/43.41 apply (zenon_L51_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.17/43.41 apply (zenon_L447_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.17/43.41 apply (zenon_L61_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.17/43.41 apply (zenon_L62_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.17/43.41 apply (zenon_L63_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.17/43.41 apply (zenon_L66_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.17/43.41 apply (zenon_L67_); trivial. % 43.17/43.41 apply (zenon_L70_); trivial. % 43.17/43.41 (* end of lemma zenon_L448_ *) % 43.17/43.41 assert (zenon_L449_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.17/43.41 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H2f3 zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H2c zenon_H2f1 zenon_H276 zenon_H290 zenon_H22b zenon_H33 zenon_H29c zenon_H15 zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H20a zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.17/43.41 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.17/43.41 apply (zenon_L448_); trivial. % 43.17/43.41 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.42 exact (zenon_H21 zenon_H20). % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.42 apply (zenon_L100_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.42 apply (zenon_L101_); trivial. % 43.17/43.42 apply (zenon_L102_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.42 exact (zenon_H21 zenon_H20). % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.42 apply (zenon_L100_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.42 apply (zenon_L101_); trivial. % 43.17/43.42 apply (zenon_L102_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.17/43.42 apply (zenon_L104_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.17/43.42 apply (zenon_L132_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.17/43.42 apply (zenon_L60_); trivial. % 43.17/43.42 apply (zenon_L133_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.42 exact (zenon_H21 zenon_H20). % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.42 apply (zenon_L100_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.42 apply (zenon_L101_); trivial. % 43.17/43.42 apply (zenon_L102_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.17/43.42 apply (zenon_L149_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.17/43.42 apply (zenon_L100_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.17/43.42 apply (zenon_L101_); trivial. % 43.17/43.42 apply (zenon_L102_); trivial. % 43.17/43.42 (* end of lemma zenon_L449_ *) % 43.17/43.42 assert (zenon_L450_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.17/43.42 do 0 intro. intros zenon_H2c7 zenon_H204 zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H20a zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H15 zenon_H29c zenon_H290 zenon_H2f1 zenon_H2c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H2f3 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.42 apply (zenon_L4_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.42 apply (zenon_L445_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.42 apply (zenon_L154_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.42 apply (zenon_L156_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.42 apply (zenon_L211_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.42 apply (zenon_L160_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.42 apply (zenon_L161_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.42 apply (zenon_L164_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.42 apply (zenon_L169_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.42 apply (zenon_L449_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.42 apply (zenon_L198_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.42 apply (zenon_L199_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.42 apply (zenon_L200_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.42 apply (zenon_L202_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.42 apply (zenon_L203_); trivial. % 43.17/43.42 apply (zenon_L204_); trivial. % 43.17/43.42 (* end of lemma zenon_L450_ *) % 43.17/43.42 assert (zenon_L451_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e22))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.42 do 0 intro. intros zenon_H354 zenon_H330 zenon_H32f zenon_H324 zenon_H32b zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H30e zenon_H30b zenon_H304 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H242 zenon_H234 zenon_H226 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H288 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H2f1 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.42 apply (zenon_L450_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.42 exact (zenon_H15 zenon_H14). % 43.17/43.42 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.42 apply (zenon_L251_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.42 apply (zenon_L173_); trivial. % 43.17/43.42 apply (zenon_L252_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.42 exact (zenon_H15 zenon_H14). % 43.17/43.42 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.42 apply (zenon_L225_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.42 apply (zenon_L173_); trivial. % 43.17/43.42 apply (zenon_L252_); trivial. % 43.17/43.42 (* end of lemma zenon_L451_ *) % 43.17/43.42 assert (zenon_L452_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.42 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.17/43.42 apply (zenon_L227_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.17/43.42 apply (zenon_L445_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.17/43.42 apply (zenon_L154_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.17/43.42 apply (zenon_L156_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.17/43.42 apply (zenon_L157_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.17/43.42 apply (zenon_L160_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.17/43.42 apply (zenon_L255_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.17/43.42 apply (zenon_L164_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.17/43.42 apply (zenon_L232_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.17/43.42 apply (zenon_L449_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.17/43.42 apply (zenon_L198_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.17/43.42 apply (zenon_L199_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.17/43.42 apply (zenon_L200_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.17/43.42 apply (zenon_L202_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.17/43.42 apply (zenon_L203_); trivial. % 43.17/43.42 apply (zenon_L204_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.42 exact (zenon_H15 zenon_H14). % 43.17/43.42 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.42 apply (zenon_L258_); trivial. % 43.17/43.42 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.42 apply (zenon_L173_); trivial. % 43.17/43.42 apply (zenon_L252_); trivial. % 43.17/43.42 (* end of lemma zenon_L452_ *) % 43.17/43.42 assert (zenon_L453_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((op2 (e20) (e20)) = (e22)) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.42 do 0 intro. intros zenon_H354 zenon_H330 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H21a zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H25a zenon_H32f zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.17/43.43 apply (zenon_L452_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.43 exact (zenon_H15 zenon_H14). % 43.17/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.43 apply (zenon_L249_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.43 apply (zenon_L173_); trivial. % 43.17/43.43 apply (zenon_L252_); trivial. % 43.17/43.43 (* end of lemma zenon_L453_ *) % 43.17/43.43 assert (zenon_L454_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.17/43.43 do 0 intro. intros zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.17/43.43 apply (zenon_L451_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.17/43.43 apply (zenon_L230_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.17/43.43 apply (zenon_L296_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.17/43.43 apply (zenon_L197_); trivial. % 43.17/43.43 apply (zenon_L245_); trivial. % 43.17/43.43 (* end of lemma zenon_L454_ *) % 43.17/43.43 assert (zenon_L455_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e21)) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.17/43.43 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H30b zenon_H30e zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H324 zenon_H32f zenon_H330 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.17/43.43 apply (zenon_L454_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.17/43.43 exact (zenon_H15 zenon_H14). % 43.17/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.17/43.43 apply (zenon_L246_); trivial. % 43.17/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.17/43.43 apply (zenon_L173_); trivial. % 43.17/43.43 apply (zenon_L252_); trivial. % 43.17/43.43 (* end of lemma zenon_L455_ *) % 43.17/43.43 assert (zenon_L456_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.43 do 0 intro. intros zenon_H354 zenon_H330 zenon_H279 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.27/43.43 apply (zenon_L452_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.43 exact (zenon_H15 zenon_H14). % 43.27/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.43 apply (zenon_L212_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.43 apply (zenon_L173_); trivial. % 43.27/43.43 apply (zenon_L252_); trivial. % 43.27/43.43 (* end of lemma zenon_L456_ *) % 43.27/43.43 assert (zenon_L457_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.27/43.43 do 0 intro. intros zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H337 zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H345 zenon_H249 zenon_H9c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H330 zenon_H354 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.27/43.43 apply (zenon_L451_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.27/43.43 apply (zenon_L456_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.27/43.43 apply (zenon_L270_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.27/43.43 apply (zenon_L197_); trivial. % 43.27/43.43 apply (zenon_L245_); trivial. % 43.27/43.43 (* end of lemma zenon_L457_ *) % 43.27/43.43 assert (zenon_L458_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.43 do 0 intro. intros zenon_H33b zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H354 zenon_H330 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.27/43.43 apply (zenon_L457_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.43 exact (zenon_H15 zenon_H14). % 43.27/43.43 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.43 apply (zenon_L212_); trivial. % 43.27/43.43 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.43 apply (zenon_L173_); trivial. % 43.27/43.43 apply (zenon_L252_); trivial. % 43.27/43.43 (* end of lemma zenon_L458_ *) % 43.27/43.43 assert (zenon_L459_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) 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(e23) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))))\/((((op2 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H337 zenon_H274 zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.27/43.44 apply (zenon_L227_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.27/43.44 apply (zenon_L445_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.27/43.44 apply (zenon_L154_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.27/43.44 apply (zenon_L156_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.27/43.44 apply (zenon_L157_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.27/43.44 apply (zenon_L160_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.27/43.44 apply (zenon_L255_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.27/43.44 apply (zenon_L164_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.27/43.44 apply (zenon_L232_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.27/43.44 apply (zenon_L449_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.27/43.44 apply (zenon_L198_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.27/43.44 apply (zenon_L199_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.27/43.44 apply (zenon_L200_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.27/43.44 apply (zenon_L240_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.27/43.44 apply (zenon_L203_); trivial. % 43.27/43.44 apply (zenon_L241_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.44 exact (zenon_H15 zenon_H14). % 43.27/43.44 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.44 apply (zenon_L258_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.44 apply (zenon_L173_); trivial. % 43.27/43.44 apply (zenon_L252_); trivial. % 43.27/43.44 (* end of lemma zenon_L459_ *) % 43.27/43.44 assert (zenon_L460_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H354 zenon_H25a zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H9c zenon_H249 zenon_H345 zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H274 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.27/43.44 apply (zenon_L459_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.44 exact (zenon_H15 zenon_H14). % 43.27/43.44 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.44 apply (zenon_L251_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.44 apply (zenon_L173_); trivial. % 43.27/43.44 apply (zenon_L252_); trivial. % 43.27/43.44 (* end of lemma zenon_L460_ *) % 43.27/43.44 assert (zenon_L461_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H1fe zenon_H3d4 zenon_H36f zenon_H381 zenon_H2b zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.27/43.44 apply (zenon_L451_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.27/43.44 apply (zenon_L460_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.27/43.44 apply (zenon_L302_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.27/43.44 apply (zenon_L197_); trivial. % 43.27/43.44 apply (zenon_L245_); trivial. % 43.27/43.44 (* end of lemma zenon_L461_ *) % 43.27/43.44 assert (zenon_L462_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) 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(e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H2b zenon_H381 zenon_H36f zenon_H3d4 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.27/43.44 apply (zenon_L461_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.44 exact (zenon_H15 zenon_H14). % 43.27/43.44 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.44 apply (zenon_L251_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.44 apply (zenon_L173_); trivial. % 43.27/43.44 apply (zenon_L252_); trivial. % 43.27/43.44 (* end of lemma zenon_L462_ *) % 43.27/43.44 assert (zenon_L463_ : (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op2 (e22) (e21)) = (e22)) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H3e0 zenon_H114 zenon_H282 zenon_H381 zenon_H36f zenon_H22b. % 43.27/43.44 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))). % 43.27/43.44 intro zenon_D_pnotp. % 43.27/43.44 apply zenon_H3e0. % 43.27/43.44 rewrite <- zenon_D_pnotp. % 43.27/43.44 exact zenon_H381. % 43.27/43.44 cut (((e22) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e1]. % 43.27/43.44 cut (((h3 (e12)) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e2]. % 43.27/43.44 congruence. % 43.27/43.44 elim (classic ((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [ zenon_intro zenon_H3e3 | zenon_intro zenon_H3e4 ]. % 43.27/43.44 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11)))) = ((h3 (e12)) = (h3 (op1 (e12) (e11))))). % 43.27/43.44 intro zenon_D_pnotp. % 43.27/43.44 apply zenon_H3e2. % 43.27/43.44 rewrite <- zenon_D_pnotp. % 43.27/43.44 exact zenon_H3e3. % 43.27/43.44 cut (((h3 (op1 (e12) (e11))) = (h3 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e4]. % 43.27/43.44 cut (((h3 (op1 (e12) (e11))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e5]. % 43.27/43.44 congruence. % 43.27/43.44 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3e6]. % 43.27/43.44 congruence. % 43.27/43.44 exact (zenon_H3e6 zenon_H114). % 43.27/43.44 apply zenon_H3e4. apply refl_equal. % 43.27/43.44 apply zenon_H3e4. apply refl_equal. % 43.27/43.44 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H3e8 ]. % 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((e22) = (op2 (h3 (e12)) (h3 (e11))))). % 43.27/43.44 intro zenon_D_pnotp. % 43.27/43.44 apply zenon_H3e1. % 43.27/43.44 rewrite <- zenon_D_pnotp. % 43.27/43.44 exact zenon_H3e7. % 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8]. % 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3e9]. % 43.27/43.44 congruence. % 43.27/43.44 cut (((op2 (e22) (e21)) = (e22)) = ((op2 (h3 (e12)) (h3 (e11))) = (e22))). % 43.27/43.44 intro zenon_D_pnotp. % 43.27/43.44 apply zenon_H3e9. % 43.27/43.44 rewrite <- zenon_D_pnotp. % 43.27/43.44 exact zenon_H282. % 43.27/43.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 43.27/43.44 cut (((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ea]. % 43.27/43.44 congruence. % 43.27/43.44 elim (classic ((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [ zenon_intro zenon_H3e7 | zenon_intro zenon_H3e8 ]. % 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11)))) = ((op2 (e22) (e21)) = (op2 (h3 (e12)) (h3 (e11))))). % 43.27/43.44 intro zenon_D_pnotp. % 43.27/43.44 apply zenon_H3ea. % 43.27/43.44 rewrite <- zenon_D_pnotp. % 43.27/43.44 exact zenon_H3e7. % 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (h3 (e12)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3e8]. % 43.27/43.44 cut (((op2 (h3 (e12)) (h3 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3eb]. % 43.27/43.44 congruence. % 43.27/43.44 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.27/43.44 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e]. % 43.27/43.44 congruence. % 43.27/43.44 exact (zenon_H38e zenon_H381). % 43.27/43.44 apply (zenon_L327_); trivial. % 43.27/43.44 apply zenon_H3e8. apply refl_equal. % 43.27/43.44 apply zenon_H3e8. apply refl_equal. % 43.27/43.44 apply zenon_H201. apply refl_equal. % 43.27/43.44 apply zenon_H3e8. apply refl_equal. % 43.27/43.44 apply zenon_H3e8. apply refl_equal. % 43.27/43.44 (* end of lemma zenon_L463_ *) % 43.27/43.44 assert (zenon_L464_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H3ec zenon_H40 zenon_H1b6 zenon_H161 zenon_H160 zenon_H22b zenon_H36f zenon_H381 zenon_H282 zenon_H3e0 zenon_H174 zenon_H48. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ec); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H3ed ]. % 43.27/43.44 apply (zenon_L112_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ed); [ zenon_intro zenon_H15f | zenon_intro zenon_H3ee ]. % 43.27/43.44 apply (zenon_L78_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ee); [ zenon_intro zenon_H114 | zenon_intro zenon_H175 ]. % 43.27/43.44 apply (zenon_L463_); trivial. % 43.27/43.44 apply (zenon_L85_); trivial. % 43.27/43.44 (* end of lemma zenon_L464_ *) % 43.27/43.44 assert (zenon_L465_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((op2 (e22) (e21)) = (e22)) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H16b zenon_H174 zenon_H3e0 zenon_H282 zenon_H381 zenon_H36f zenon_H22b zenon_H1b6 zenon_H40 zenon_H3ec zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H50 zenon_H1b0 zenon_Hc1 zenon_Hf9 zenon_H57 zenon_H48. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H160 | zenon_intro zenon_H16c ]. % 43.27/43.44 apply (zenon_L464_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 43.27/43.44 apply (zenon_L438_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hfa ]. % 43.27/43.44 apply (zenon_L39_); trivial. % 43.27/43.44 apply (zenon_L54_); trivial. % 43.27/43.44 (* end of lemma zenon_L465_ *) % 43.27/43.44 assert (zenon_L466_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e13) = (op1 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.44 do 0 intro. intros zenon_Ha7 zenon_H3ef zenon_H7e zenon_H24d zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H48 zenon_H57 zenon_Hf9 zenon_Hc1 zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3ec zenon_H1b6 zenon_H22b zenon_H36f zenon_H381 zenon_H3e0 zenon_H174 zenon_H16b zenon_H316 zenon_H33. % 43.27/43.44 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.27/43.44 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H24e | zenon_intro zenon_H3f0 ]. % 43.27/43.44 apply (zenon_L171_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H3f1 ]. % 43.27/43.44 apply (zenon_L278_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H282 | zenon_intro zenon_H317 ]. % 43.27/43.44 apply (zenon_L465_); trivial. % 43.27/43.44 apply (zenon_L236_); trivial. % 43.27/43.44 (* end of lemma zenon_L466_ *) % 43.27/43.44 assert (zenon_L467_ : (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op1 (e12) (e11)) = (e12)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H3ef zenon_H7e zenon_H24d zenon_H2eb zenon_H2ea zenon_H22b zenon_H36f zenon_H381 zenon_H114 zenon_H3e0 zenon_H316 zenon_H33. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3ef); [ zenon_intro zenon_H24e | zenon_intro zenon_H3f0 ]. % 43.27/43.44 apply (zenon_L171_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H3f1 ]. % 43.27/43.44 apply (zenon_L214_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H282 | zenon_intro zenon_H317 ]. % 43.27/43.44 apply (zenon_L463_); trivial. % 43.27/43.44 apply (zenon_L236_); trivial. % 43.27/43.44 (* end of lemma zenon_L467_ *) % 43.27/43.44 assert (zenon_L468_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.44 do 0 intro. intros zenon_H112 zenon_H2f3 zenon_H316 zenon_H3e0 zenon_H381 zenon_H36f zenon_H24d zenon_H7e zenon_H3ef zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H99 zenon_H345 zenon_H276 zenon_H290 zenon_H22b zenon_H33. % 43.27/43.44 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2f3); [ zenon_intro zenon_H2ea | zenon_intro zenon_H2f4 ]. % 43.27/43.44 apply (zenon_L467_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2f5 ]. % 43.27/43.44 apply (zenon_L278_); trivial. % 43.27/43.44 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H291 ]. % 43.27/43.44 apply (zenon_L209_); trivial. % 43.27/43.44 apply (zenon_L189_); trivial. % 43.27/43.44 (* end of lemma zenon_L468_ *) % 43.27/43.44 assert (zenon_L469_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H142 zenon_H16b zenon_H174 zenon_H1b6 zenon_H3ec zenon_H1aa zenon_H1b1 zenon_H161 zenon_H1a8 zenon_H1b0 zenon_Hf9 zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H99 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H3ef zenon_H7e zenon_H24d zenon_H36f zenon_H381 zenon_H3e0 zenon_H316 zenon_H2f3 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.27/43.45 apply (zenon_L8_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.27/43.45 apply (zenon_L466_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.27/43.45 apply (zenon_L34_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.27/43.45 apply (zenon_L36_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.27/43.45 apply (zenon_L42_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.27/43.45 apply (zenon_L45_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.27/43.45 apply (zenon_L46_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.27/43.45 apply (zenon_L48_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.27/43.45 apply (zenon_L51_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.27/43.45 apply (zenon_L468_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.27/43.45 apply (zenon_L61_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.27/43.45 apply (zenon_L62_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.27/43.45 apply (zenon_L63_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.27/43.45 apply (zenon_L66_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.27/43.45 apply (zenon_L67_); trivial. % 43.27/43.45 apply (zenon_L70_); trivial. % 43.27/43.45 (* end of lemma zenon_L469_ *) % 43.27/43.45 assert (zenon_L470_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H33 zenon_H22b zenon_H290 zenon_H276 zenon_H345 zenon_H249 zenon_H2eb zenon_H346 zenon_H9c zenon_H3ef zenon_H24d zenon_H36f zenon_H381 zenon_H3e0 zenon_H316 zenon_H2f3 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.27/43.45 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 43.27/43.45 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.27/43.45 apply (zenon_L469_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.45 exact (zenon_H21 zenon_H20). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.45 apply (zenon_L100_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.45 apply (zenon_L101_); trivial. % 43.27/43.45 apply (zenon_L102_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.45 exact (zenon_H21 zenon_H20). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.45 apply (zenon_L100_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.45 apply (zenon_L101_); trivial. % 43.27/43.45 apply (zenon_L102_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.27/43.45 apply (zenon_L104_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.27/43.45 apply (zenon_L132_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.27/43.45 apply (zenon_L60_); trivial. % 43.27/43.45 apply (zenon_L133_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.45 apply (zenon_L149_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.45 apply (zenon_L100_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.45 apply (zenon_L101_); trivial. % 43.27/43.45 apply (zenon_L102_); trivial. % 43.27/43.45 (* end of lemma zenon_L470_ *) % 43.27/43.45 assert (zenon_L471_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H142 zenon_Hf9 zenon_H1b0 zenon_H1a8 zenon_H161 zenon_H1b1 zenon_H1aa zenon_H3ec zenon_H1b6 zenon_H174 zenon_H16b zenon_Hac zenon_Hb2 zenon_Hbd zenon_Hca zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H60 zenon_H6e zenon_H22b zenon_H36f zenon_H381 zenon_H282 zenon_H3e0 zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.27/43.45 apply (zenon_L8_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.27/43.45 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.27/43.45 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.27/43.45 apply (zenon_L465_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.27/43.45 apply (zenon_L34_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.27/43.45 apply (zenon_L36_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.27/43.45 apply (zenon_L42_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.27/43.45 apply (zenon_L45_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.27/43.45 apply (zenon_L46_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.27/43.45 apply (zenon_L48_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.27/43.45 apply (zenon_L51_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.27/43.45 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.27/43.45 apply (zenon_L463_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.27/43.45 apply (zenon_L61_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.27/43.45 apply (zenon_L62_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.27/43.45 apply (zenon_L63_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.27/43.45 apply (zenon_L66_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.27/43.45 apply (zenon_L67_); trivial. % 43.27/43.45 apply (zenon_L70_); trivial. % 43.27/43.45 (* end of lemma zenon_L471_ *) % 43.27/43.45 assert (zenon_L472_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H22b zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.27/43.45 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.27/43.45 apply (zenon_L471_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.45 exact (zenon_H21 zenon_H20). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.45 apply (zenon_L100_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.45 apply (zenon_L101_); trivial. % 43.27/43.45 apply (zenon_L102_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.45 exact (zenon_H21 zenon_H20). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.45 apply (zenon_L100_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.45 apply (zenon_L101_); trivial. % 43.27/43.45 apply (zenon_L102_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.27/43.45 apply (zenon_L104_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.27/43.45 apply (zenon_L132_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.27/43.45 apply (zenon_L60_); trivial. % 43.27/43.45 apply (zenon_L133_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.45 apply (zenon_L149_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.45 apply (zenon_L100_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.45 apply (zenon_L101_); trivial. % 43.27/43.45 apply (zenon_L102_); trivial. % 43.27/43.45 (* end of lemma zenon_L472_ *) % 43.27/43.45 assert (zenon_L473_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H2c7 zenon_H2f3 zenon_H316 zenon_H24d zenon_H3ef zenon_H9c zenon_H346 zenon_H2eb zenon_H249 zenon_H345 zenon_H290 zenon_H204 zenon_H20a zenon_H2de zenon_H2e3 zenon_H23e zenon_H23a zenon_H226 zenon_H234 zenon_H2c zenon_H242 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.27/43.45 apply (zenon_L4_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.27/43.45 apply (zenon_L470_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.27/43.45 apply (zenon_L154_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.27/43.45 apply (zenon_L156_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.27/43.45 apply (zenon_L211_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.27/43.45 apply (zenon_L160_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.27/43.45 apply (zenon_L161_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.27/43.45 apply (zenon_L164_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.27/43.45 apply (zenon_L169_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.27/43.45 apply (zenon_L472_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.27/43.45 apply (zenon_L198_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.27/43.45 apply (zenon_L199_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.27/43.45 apply (zenon_L200_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.27/43.45 apply (zenon_L202_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.27/43.45 apply (zenon_L203_); trivial. % 43.27/43.45 apply (zenon_L204_); trivial. % 43.27/43.45 (* end of lemma zenon_L473_ *) % 43.27/43.45 assert (zenon_L474_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H354 zenon_H330 zenon_H32f zenon_H324 zenon_H32b zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H30e zenon_H30b zenon_H304 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H242 zenon_H234 zenon_H226 zenon_H25d zenon_H2fe zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H23e zenon_H288 zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e6 zenon_H2eb zenon_H2e3 zenon_H2f1 zenon_H290 zenon_H23a zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.27/43.45 apply (zenon_L473_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.45 exact (zenon_H15 zenon_H14). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.45 apply (zenon_L251_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.45 apply (zenon_L173_); trivial. % 43.27/43.45 apply (zenon_L252_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.45 exact (zenon_H15 zenon_H14). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.45 apply (zenon_L225_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.45 apply (zenon_L173_); trivial. % 43.27/43.45 apply (zenon_L252_); trivial. % 43.27/43.45 (* end of lemma zenon_L474_ *) % 43.27/43.45 assert (zenon_L475_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H3ef zenon_H24d zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.27/43.45 apply (zenon_L227_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.27/43.45 apply (zenon_L470_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.27/43.45 apply (zenon_L154_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.27/43.45 apply (zenon_L156_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.27/43.45 apply (zenon_L157_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.27/43.45 apply (zenon_L160_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.27/43.45 apply (zenon_L255_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.27/43.45 apply (zenon_L164_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.27/43.45 apply (zenon_L232_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.27/43.45 apply (zenon_L472_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.27/43.45 apply (zenon_L198_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.27/43.45 apply (zenon_L199_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.27/43.45 apply (zenon_L200_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.27/43.45 apply (zenon_L202_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.27/43.45 apply (zenon_L203_); trivial. % 43.27/43.45 apply (zenon_L204_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.45 exact (zenon_H15 zenon_H14). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.45 apply (zenon_L258_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.45 apply (zenon_L173_); trivial. % 43.27/43.45 apply (zenon_L252_); trivial. % 43.27/43.45 (* end of lemma zenon_L475_ *) % 43.27/43.45 assert (zenon_L476_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((op2 (e20) (e20)) = (e22)) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.45 do 0 intro. intros zenon_H354 zenon_H330 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H21a zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H25a zenon_H32f zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.27/43.45 apply (zenon_L475_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.45 exact (zenon_H15 zenon_H14). % 43.27/43.45 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.45 apply (zenon_L249_); trivial. % 43.27/43.45 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.45 apply (zenon_L173_); trivial. % 43.27/43.45 apply (zenon_L252_); trivial. % 43.27/43.45 (* end of lemma zenon_L476_ *) % 43.27/43.45 assert (zenon_L477_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.27/43.46 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H3ef zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.27/43.46 apply (zenon_L474_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.27/43.46 apply (zenon_L230_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.27/43.46 apply (zenon_L296_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.27/43.46 apply (zenon_L197_); trivial. % 43.27/43.46 apply (zenon_L245_); trivial. % 43.27/43.46 (* end of lemma zenon_L477_ *) % 43.27/43.46 assert (zenon_L478_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = 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(e23))))))))\/((((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.46 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H30b zenon_H30e zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H324 zenon_H32f zenon_H330 zenon_H3ef zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H309 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H23a zenon_H290 zenon_H2e3 zenon_H2eb zenon_H2e6 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H23e zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H2fe zenon_H25d zenon_H234 zenon_H242 zenon_H264 zenon_H276 zenon_H32b zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.27/43.46 apply (zenon_L477_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.46 exact (zenon_H15 zenon_H14). % 43.27/43.46 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.46 apply (zenon_L246_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.46 apply (zenon_L173_); trivial. % 43.27/43.46 apply (zenon_L252_); trivial. % 43.27/43.46 (* end of lemma zenon_L478_ *) % 43.27/43.46 assert (zenon_L479_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.46 do 0 intro. intros zenon_H354 zenon_H330 zenon_H279 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H26a zenon_H2eb zenon_H30b zenon_H22b zenon_H22a zenon_H30e zenon_H2f1 zenon_H2fe zenon_H93 zenon_H25a zenon_H31e zenon_H288 zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.27/43.46 apply (zenon_L475_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.46 exact (zenon_H15 zenon_H14). % 43.27/43.46 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.46 apply (zenon_L212_); trivial. % 43.27/43.46 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.46 apply (zenon_L173_); trivial. % 43.27/43.46 apply (zenon_L252_); trivial. % 43.27/43.46 (* end of lemma zenon_L479_ *) % 43.27/43.46 assert (zenon_L480_ : ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.27/43.47 do 0 intro. intros zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H337 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H345 zenon_H249 zenon_H9c zenon_H3ef zenon_H24d zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H330 zenon_H354 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.27/43.47 apply (zenon_L474_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.27/43.47 apply (zenon_L479_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.27/43.47 apply (zenon_L270_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.27/43.47 apply (zenon_L197_); trivial. % 43.27/43.47 apply (zenon_L245_); trivial. % 43.27/43.47 (* end of lemma zenon_L480_ *) % 43.27/43.47 assert (zenon_L481_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.47 do 0 intro. intros zenon_H33b zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H354 zenon_H330 zenon_H304 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H337 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.27/43.47 apply (zenon_L480_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.47 exact (zenon_H15 zenon_H14). % 43.27/43.47 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.47 apply (zenon_L212_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.47 apply (zenon_L173_); trivial. % 43.27/43.47 apply (zenon_L252_); trivial. % 43.27/43.47 (* end of lemma zenon_L481_ *) % 43.27/43.47 assert (zenon_L482_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.47 do 0 intro. intros zenon_H337 zenon_H274 zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H345 zenon_H249 zenon_H346 zenon_H9c zenon_H3ef zenon_H24d zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.27/43.47 apply (zenon_L4_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.27/43.47 apply (zenon_L470_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.27/43.47 apply (zenon_L154_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.27/43.47 apply (zenon_L156_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.27/43.47 apply (zenon_L157_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.27/43.47 apply (zenon_L160_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.27/43.47 apply (zenon_L255_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.27/43.47 apply (zenon_L164_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.27/43.47 apply (zenon_L232_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.27/43.47 apply (zenon_L472_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.27/43.47 apply (zenon_L198_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.27/43.47 apply (zenon_L199_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.27/43.47 apply (zenon_L200_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.27/43.47 apply (zenon_L240_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.27/43.47 apply (zenon_L203_); trivial. % 43.27/43.47 apply (zenon_L241_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.47 exact (zenon_H15 zenon_H14). % 43.27/43.47 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.47 apply (zenon_L258_); trivial. % 43.27/43.47 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.47 apply (zenon_L173_); trivial. % 43.27/43.47 apply (zenon_L252_); trivial. % 43.27/43.47 (* end of lemma zenon_L482_ *) % 43.27/43.47 assert (zenon_L483_ : ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H354 zenon_H25a zenon_H24d zenon_H3ef zenon_H9c zenon_H249 zenon_H345 zenon_H214 zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H274 zenon_H337 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.27/43.48 apply (zenon_L482_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.48 exact (zenon_H15 zenon_H14). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.48 apply (zenon_L251_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L252_); trivial. % 43.27/43.48 (* end of lemma zenon_L483_ *) % 43.27/43.48 assert (zenon_L484_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H3ec zenon_H36f zenon_H381 zenon_H3e0 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H3ef zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.27/43.48 apply (zenon_L474_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.27/43.48 apply (zenon_L483_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.27/43.48 apply (zenon_L302_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.27/43.48 apply (zenon_L197_); trivial. % 43.27/43.48 apply (zenon_L245_); trivial. % 43.27/43.48 (* end of lemma zenon_L484_ *) % 43.27/43.48 assert (zenon_L485_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))) -> ((h3 (e12)) = (e22)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_H3ef zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H3e0 zenon_H381 zenon_H36f zenon_H3ec zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H1fe zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.27/43.48 apply (zenon_L484_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.48 exact (zenon_H15 zenon_H14). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.48 apply (zenon_L251_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L252_); trivial. % 43.27/43.48 (* end of lemma zenon_L485_ *) % 43.27/43.48 assert (zenon_L486_ : (~((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e13) = (op1 (e12) (e12))) -> ((h3 (e12)) = (e22)) -> False). % 43.27/43.48 do 0 intro. intros zenon_H3f2 zenon_H30 zenon_H48 zenon_H381. % 43.27/43.48 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H3f2. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H30. % 43.27/43.48 cut (((op2 (e22) (e22)) = (op2 (h3 (e12)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3f3]. % 43.27/43.48 cut (((h3 (e13)) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3f4]. % 43.27/43.48 congruence. % 43.27/43.48 elim (classic ((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H3f6 ]. % 43.27/43.48 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12)))) = ((h3 (e13)) = (h3 (op1 (e12) (e12))))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H3f4. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H3f5. % 43.27/43.48 cut (((h3 (op1 (e12) (e12))) = (h3 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3f6]. % 43.27/43.48 cut (((h3 (op1 (e12) (e12))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3f7]. % 43.27/43.48 congruence. % 43.27/43.48 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 43.27/43.48 congruence. % 43.27/43.48 apply zenon_H55. apply sym_equal. exact zenon_H48. % 43.27/43.48 apply zenon_H3f6. apply refl_equal. % 43.27/43.48 apply zenon_H3f6. apply refl_equal. % 43.27/43.48 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f8]. % 43.27/43.48 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f8]. % 43.27/43.48 congruence. % 43.27/43.48 apply zenon_H3f8. apply sym_equal. exact zenon_H381. % 43.27/43.48 apply zenon_H3f8. apply sym_equal. exact zenon_H381. % 43.27/43.48 (* end of lemma zenon_L486_ *) % 43.27/43.48 assert (zenon_L487_ : (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op1 (e12) (e13)) = (e10)) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H3f9 zenon_H2b zenon_Hf7 zenon_H254 zenon_H2c zenon_H381 zenon_H30 zenon_H33. % 43.27/43.48 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H3f9. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H2b. % 43.27/43.48 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fa]. % 43.27/43.48 cut (((h3 (e10)) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fb]. % 43.27/43.48 congruence. % 43.27/43.48 elim (classic ((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [ zenon_intro zenon_H3fc | zenon_intro zenon_H3fd ]. % 43.27/43.48 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13)))) = ((h3 (e10)) = (h3 (op1 (e12) (e13))))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H3fb. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H3fc. % 43.27/43.48 cut (((h3 (op1 (e12) (e13))) = (h3 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3fd]. % 43.27/43.48 cut (((h3 (op1 (e12) (e13))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3fe]. % 43.27/43.48 congruence. % 43.27/43.48 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3ff]. % 43.27/43.48 congruence. % 43.27/43.48 exact (zenon_H3ff zenon_Hf7). % 43.27/43.48 apply zenon_H3fd. apply refl_equal. % 43.27/43.48 apply zenon_H3fd. apply refl_equal. % 43.27/43.48 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H400 | zenon_intro zenon_H401 ]. % 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e12)) (h3 (e13))))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H3fa. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H400. % 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H401]. % 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H402]. % 43.27/43.48 congruence. % 43.27/43.48 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (h3 (e12)) (h3 (e13))) = (op2 (op2 (e22) (e22)) (e22)))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H402. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H254. % 43.27/43.48 cut (((e20) = (op2 (op2 (e22) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H37c]. % 43.27/43.48 cut (((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H403]. % 43.27/43.48 congruence. % 43.27/43.48 elim (classic ((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [ zenon_intro zenon_H400 | zenon_intro zenon_H401 ]. % 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13)))) = ((op2 (e22) (e23)) = (op2 (h3 (e12)) (h3 (e13))))). % 43.27/43.48 intro zenon_D_pnotp. % 43.27/43.48 apply zenon_H403. % 43.27/43.48 rewrite <- zenon_D_pnotp. % 43.27/43.48 exact zenon_H400. % 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (h3 (e12)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H401]. % 43.27/43.48 cut (((op2 (h3 (e12)) (h3 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H404]. % 43.27/43.48 congruence. % 43.27/43.48 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f]. % 43.27/43.48 cut (((h3 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H38e]. % 43.27/43.48 congruence. % 43.27/43.48 exact (zenon_H38e zenon_H381). % 43.27/43.48 apply (zenon_L350_); trivial. % 43.27/43.48 apply zenon_H401. apply refl_equal. % 43.27/43.48 apply zenon_H401. apply refl_equal. % 43.27/43.48 exact (zenon_H37c zenon_H2c). % 43.27/43.48 apply zenon_H401. apply refl_equal. % 43.27/43.48 apply zenon_H401. apply refl_equal. % 43.27/43.48 (* end of lemma zenon_L487_ *) % 43.27/43.48 assert (zenon_L488_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H1c3 zenon_H50 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H48 zenon_H3f9 zenon_H2b zenon_H254 zenon_H2c zenon_H381 zenon_H30 zenon_H33. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ]. % 43.27/43.48 apply (zenon_L105_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ]. % 43.27/43.48 apply (zenon_L112_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L487_); trivial. % 43.27/43.48 (* end of lemma zenon_L488_ *) % 43.27/43.48 assert (zenon_L489_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.48 do 0 intro. intros zenon_Ha7 zenon_H27d zenon_H99 zenon_H249 zenon_H7e zenon_H24d zenon_H80 zenon_H1c3 zenon_H1a8 zenon_H1b6 zenon_H42 zenon_H48 zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33. % 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 43.27/43.48 apply (zenon_L170_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 43.27/43.48 apply (zenon_L171_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L488_); trivial. % 43.27/43.48 (* end of lemma zenon_L489_ *) % 43.27/43.48 assert (zenon_L490_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((op2 (e22) (e23)) = (e20)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H10d zenon_H21 zenon_H33 zenon_H30 zenon_H381 zenon_H2c zenon_H254 zenon_H2b zenon_H3f9 zenon_H42 zenon_H17b zenon_H114 zenon_H1a8 zenon_H1c3 zenon_Hef zenon_Hb2 zenon_H60 zenon_H48. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H20 | zenon_intro zenon_H110 ]. % 43.27/43.48 exact (zenon_H21 zenon_H20). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H50 | zenon_intro zenon_H111 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1c6 ]. % 43.27/43.48 apply (zenon_L105_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c7 ]. % 43.27/43.48 apply (zenon_L137_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H196 | zenon_intro zenon_Hf7 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L487_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hb3 ]. % 43.27/43.48 apply (zenon_L52_); trivial. % 43.27/43.48 apply (zenon_L35_); trivial. % 43.27/43.48 (* end of lemma zenon_L490_ *) % 43.27/43.48 assert (zenon_L491_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H112 zenon_H27d zenon_H99 zenon_H249 zenon_H7e zenon_H24d zenon_H80 zenon_H10d zenon_H21 zenon_H33 zenon_H30 zenon_H381 zenon_H2c zenon_H2b zenon_H3f9 zenon_H42 zenon_H17b zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H48. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.27/43.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 43.27/43.48 apply (zenon_L170_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 43.27/43.48 apply (zenon_L171_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L490_); trivial. % 43.27/43.48 (* end of lemma zenon_L491_ *) % 43.27/43.48 assert (zenon_L492_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H142 zenon_H1b6 zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H17b zenon_H42 zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33 zenon_H21 zenon_H10d zenon_H80 zenon_H24d zenon_H7e zenon_H249 zenon_H99 zenon_H27d zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.27/43.48 apply (zenon_L8_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.27/43.48 apply (zenon_L489_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.27/43.48 apply (zenon_L34_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.27/43.48 apply (zenon_L36_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.27/43.48 apply (zenon_L330_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.27/43.48 apply (zenon_L45_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.27/43.48 apply (zenon_L46_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.27/43.48 apply (zenon_L48_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.27/43.48 apply (zenon_L51_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.27/43.48 apply (zenon_L491_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.27/43.48 apply (zenon_L61_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.27/43.48 apply (zenon_L62_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.27/43.48 apply (zenon_L63_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.27/43.48 apply (zenon_L66_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.27/43.48 apply (zenon_L67_); trivial. % 43.27/43.48 apply (zenon_L70_); trivial. % 43.27/43.48 (* end of lemma zenon_L492_ *) % 43.27/43.48 assert (zenon_L493_ : (((op2 (e20) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33 zenon_H10d zenon_H80 zenon_H24d zenon_H249 zenon_H27d zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H7e. zenon_intro zenon_H200. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H99. zenon_intro zenon_H1c. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.27/43.48 apply (zenon_L492_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.48 exact (zenon_H21 zenon_H20). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.48 apply (zenon_L100_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L102_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.27/43.48 apply (zenon_L104_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.27/43.48 apply (zenon_L132_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.27/43.48 apply (zenon_L60_); trivial. % 43.27/43.48 apply (zenon_L133_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.48 exact (zenon_H21 zenon_H20). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.48 apply (zenon_L100_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L102_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.48 apply (zenon_L149_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.48 apply (zenon_L100_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L102_); trivial. % 43.27/43.48 (* end of lemma zenon_L493_ *) % 43.27/43.48 assert (zenon_L494_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H27d zenon_H28a zenon_H7e zenon_H24d zenon_H80 zenon_H1c3 zenon_H50 zenon_H1a8 zenon_H40 zenon_H1b6 zenon_H42 zenon_H48 zenon_H3f9 zenon_H2b zenon_H2c zenon_H381 zenon_H30 zenon_H33. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 43.27/43.48 apply (zenon_L188_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 43.27/43.48 apply (zenon_L171_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L488_); trivial. % 43.27/43.48 (* end of lemma zenon_L494_ *) % 43.27/43.48 assert (zenon_L495_ : (((op1 (e10) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((e13) = (op1 (e12) (e12))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False). % 43.27/43.48 do 0 intro. intros zenon_Ha7 zenon_H29e zenon_H15 zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H48 zenon_H42 zenon_H1b6 zenon_H1a8 zenon_H1c3 zenon_H80 zenon_H24d zenon_H28a zenon_H27d zenon_H2c zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H297 zenon_H33 zenon_H264. % 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H40. zenon_intro zenon_Ha9. % 43.27/43.48 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H50. zenon_intro zenon_H28. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H14 | zenon_intro zenon_H29f ]. % 43.27/43.48 exact (zenon_H15 zenon_H14). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a0 ]. % 43.27/43.48 apply (zenon_L494_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H205 | zenon_intro zenon_H212 ]. % 43.27/43.48 apply (zenon_L153_); trivial. % 43.27/43.48 apply (zenon_L192_); trivial. % 43.27/43.48 (* end of lemma zenon_L495_ *) % 43.27/43.48 assert (zenon_L496_ : (((op1 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e12) (op1 (e12) (e13))) = (e13)))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H112 zenon_H29c zenon_H15 zenon_H48 zenon_H60 zenon_Hb2 zenon_H1c3 zenon_H1a8 zenon_H17b zenon_H42 zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H21 zenon_H10d zenon_H80 zenon_H304 zenon_H282 zenon_H249 zenon_H27d zenon_H28a zenon_H20a zenon_H2c zenon_H33. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H67. zenon_intro zenon_Hee. % 43.27/43.48 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hef. zenon_intro zenon_H115. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14 | zenon_intro zenon_H2a1 ]. % 43.27/43.48 exact (zenon_H15 zenon_H14). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H99 | zenon_intro zenon_H2a2 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H24a | zenon_intro zenon_H27e ]. % 43.27/43.48 apply (zenon_L170_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H24e | zenon_intro zenon_H27f ]. % 43.27/43.48 apply (zenon_L312_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H251 | zenon_intro zenon_H254 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L490_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H24a | zenon_intro zenon_H20b ]. % 43.27/43.48 apply (zenon_L188_); trivial. % 43.27/43.48 apply (zenon_L155_); trivial. % 43.27/43.48 (* end of lemma zenon_L496_ *) % 43.27/43.48 assert (zenon_L497_ : ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H142 zenon_H264 zenon_H297 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H204 zenon_H24d zenon_H1b6 zenon_H29e zenon_Hac zenon_H15b zenon_H6a zenon_He8 zenon_H6f zenon_H5f zenon_H6e zenon_H33 zenon_H2c zenon_H20a zenon_H28a zenon_H27d zenon_H249 zenon_H282 zenon_H304 zenon_H80 zenon_H10d zenon_H21 zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H42 zenon_H17b zenon_H1a8 zenon_H1c3 zenon_Hb2 zenon_H60 zenon_H15 zenon_H29c zenon_H11a zenon_H123 zenon_H105 zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_Hc1. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H26 | zenon_intro zenon_H143 ]. % 43.27/43.48 apply (zenon_L8_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H144 ]. % 43.27/43.48 apply (zenon_L495_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H145 ]. % 43.27/43.48 apply (zenon_L34_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H146 ]. % 43.27/43.48 apply (zenon_L36_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hcd | zenon_intro zenon_H147 ]. % 43.27/43.48 apply (zenon_L330_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H148 ]. % 43.27/43.48 apply (zenon_L45_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hde | zenon_intro zenon_H149 ]. % 43.27/43.48 apply (zenon_L46_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 43.27/43.48 apply (zenon_L48_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Heb | zenon_intro zenon_H14b ]. % 43.27/43.48 apply (zenon_L51_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H112 | zenon_intro zenon_H14c ]. % 43.27/43.48 apply (zenon_L496_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11d | zenon_intro zenon_H14d ]. % 43.27/43.48 apply (zenon_L61_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11f | zenon_intro zenon_H14e ]. % 43.27/43.48 apply (zenon_L62_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H122 | zenon_intro zenon_H14f ]. % 43.27/43.48 apply (zenon_L63_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H132 | zenon_intro zenon_H150 ]. % 43.27/43.48 apply (zenon_L66_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H140 ]. % 43.27/43.48 apply (zenon_L67_); trivial. % 43.27/43.48 apply (zenon_L70_); trivial. % 43.27/43.48 (* end of lemma zenon_L497_ *) % 43.27/43.48 assert (zenon_L498_ : (((op2 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e22) (op2 (e22) (e23))) = (e23)))))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> ((e23) = (op2 (e22) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (~((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H2a5 zenon_H1fe zenon_H264 zenon_H290 zenon_H22b zenon_H253 zenon_H299 zenon_H204 zenon_H24d zenon_H29e zenon_H33 zenon_H2c zenon_H20a zenon_H27d zenon_H249 zenon_H304 zenon_H80 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H15 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H282. zenon_intro zenon_H2a6. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H23c. zenon_intro zenon_H248. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H28a. zenon_intro zenon_H2a7. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 43.27/43.48 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H297. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H15b | zenon_intro zenon_H1a5 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.27/43.48 apply (zenon_L497_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.48 exact (zenon_H21 zenon_H20). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.48 apply (zenon_L100_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L102_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.27/43.48 apply (zenon_L104_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.27/43.48 apply (zenon_L132_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.27/43.48 apply (zenon_L60_); trivial. % 43.27/43.48 apply (zenon_L133_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.48 exact (zenon_H21 zenon_H20). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.48 apply (zenon_L100_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L102_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.27/43.48 apply (zenon_L149_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.27/43.48 apply (zenon_L100_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.27/43.48 apply (zenon_L101_); trivial. % 43.27/43.48 apply (zenon_L102_); trivial. % 43.27/43.48 (* end of lemma zenon_L498_ *) % 43.27/43.48 assert (zenon_L499_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H337 zenon_H1fe zenon_H253 zenon_H299 zenon_H24d zenon_H29e zenon_H27d zenon_H249 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H226 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.27/43.48 apply (zenon_L4_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.27/43.48 apply (zenon_L493_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.27/43.48 apply (zenon_L154_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.27/43.48 apply (zenon_L156_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.27/43.48 apply (zenon_L211_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.27/43.48 apply (zenon_L160_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.27/43.48 apply (zenon_L161_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.27/43.48 apply (zenon_L164_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.27/43.48 apply (zenon_L169_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.27/43.48 apply (zenon_L498_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.27/43.48 apply (zenon_L198_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.27/43.48 apply (zenon_L199_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.27/43.48 apply (zenon_L200_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.27/43.48 apply (zenon_L202_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.27/43.48 apply (zenon_L203_); trivial. % 43.27/43.48 apply (zenon_L204_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.27/43.48 exact (zenon_H15 zenon_H14). % 43.27/43.48 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.27/43.48 apply (zenon_L251_); trivial. % 43.27/43.48 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.27/43.48 apply (zenon_L173_); trivial. % 43.27/43.48 apply (zenon_L252_); trivial. % 43.27/43.48 (* end of lemma zenon_L499_ *) % 43.27/43.48 assert (zenon_L500_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e23))) -> False). % 43.27/43.48 do 0 intro. intros zenon_H2c7 zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H80 zenon_H304 zenon_H249 zenon_H27d zenon_H20a zenon_H2c zenon_H29e zenon_H24d zenon_H204 zenon_H299 zenon_H253 zenon_H290 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H276. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.34/43.49 apply (zenon_L227_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.34/43.49 apply (zenon_L493_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.34/43.49 apply (zenon_L154_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.34/43.49 apply (zenon_L156_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.34/43.49 apply (zenon_L157_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.34/43.49 apply (zenon_L160_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.34/43.49 apply (zenon_L255_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.34/43.49 apply (zenon_L164_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.34/43.49 apply (zenon_L232_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.34/43.49 apply (zenon_L498_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.34/43.49 apply (zenon_L198_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.34/43.49 apply (zenon_L199_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.34/43.49 apply (zenon_L200_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.34/43.49 apply (zenon_L202_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.34/43.49 apply (zenon_L203_); trivial. % 43.34/43.49 apply (zenon_L204_); trivial. % 43.34/43.49 (* end of lemma zenon_L500_ *) % 43.34/43.49 assert (zenon_L501_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = 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((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 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(e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e21)) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.34/43.49 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H29e zenon_H299 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H352 zenon_H33d zenon_H24d zenon_H349 zenon_H27d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H214 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H309 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.49 apply (zenon_L499_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.49 apply (zenon_L230_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.49 apply (zenon_L296_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.49 apply (zenon_L197_); trivial. % 43.34/43.49 apply (zenon_L245_); trivial. % 43.34/43.49 (* end of lemma zenon_L501_ *) % 43.34/43.49 assert (zenon_L502_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e10) (op1 (e10) (e13))) = 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(e23))))))))\/(((op2 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.34/43.49 do 0 intro. intros zenon_H33b zenon_H354 zenon_H309 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H27d zenon_H349 zenon_H24d zenon_H33d zenon_H352 zenon_H337 zenon_H1fe zenon_H299 zenon_H29e zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.49 apply (zenon_L501_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.49 exact (zenon_H15 zenon_H14). % 43.34/43.49 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.49 apply (zenon_L251_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.49 apply (zenon_L173_); trivial. % 43.34/43.49 apply (zenon_L252_); trivial. % 43.34/43.49 (* end of lemma zenon_L502_ *) % 43.34/43.49 assert (zenon_L503_ : ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 43.34/43.49 do 0 intro. intros zenon_H2c7 zenon_H26a zenon_H2eb zenon_H214 zenon_H2f1 zenon_H30b zenon_H22a zenon_H25a zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H15 zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H80 zenon_H304 zenon_H249 zenon_H27d zenon_H20a zenon_H2c zenon_H29e zenon_H24d zenon_H204 zenon_H299 zenon_H253 zenon_H22b zenon_H290 zenon_H1fe zenon_H288 zenon_Ha3 zenon_H264 zenon_H33 zenon_H274 zenon_H276. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1a | zenon_intro zenon_H2c8 ]. % 43.34/43.49 apply (zenon_L4_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1fd | zenon_intro zenon_H2c9 ]. % 43.34/43.49 apply (zenon_L493_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H208 | zenon_intro zenon_H2ca ]. % 43.34/43.49 apply (zenon_L154_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H210 | zenon_intro zenon_H2cb ]. % 43.34/43.49 apply (zenon_L156_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H213 | zenon_intro zenon_H2cc ]. % 43.34/43.49 apply (zenon_L157_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H21b | zenon_intro zenon_H2cd ]. % 43.34/43.49 apply (zenon_L160_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H225 | zenon_intro zenon_H2ce ]. % 43.34/43.49 apply (zenon_L255_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H231 | zenon_intro zenon_H2cf ]. % 43.34/43.49 apply (zenon_L164_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H245 | zenon_intro zenon_H2d0 ]. % 43.34/43.49 apply (zenon_L232_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2d1 ]. % 43.34/43.49 apply (zenon_L498_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2d2 ]. % 43.34/43.49 apply (zenon_L198_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H2d3 ]. % 43.34/43.49 apply (zenon_L199_); trivial. % 43.34/43.49 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2d4 ]. % 43.34/43.50 apply (zenon_L200_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2d5 ]. % 43.34/43.50 apply (zenon_L240_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c5 ]. % 43.34/43.50 apply (zenon_L203_); trivial. % 43.34/43.50 apply (zenon_L241_); trivial. % 43.34/43.50 (* end of lemma zenon_L503_ *) % 43.34/43.50 assert (zenon_L504_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = 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(e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.34/43.50 do 0 intro. intros zenon_H337 zenon_H274 zenon_H1fe zenon_H253 zenon_H299 zenon_H24d zenon_H29e zenon_H27d zenon_H249 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H214 zenon_H15 zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H288 zenon_H31e zenon_H25a zenon_H93 zenon_H2fe zenon_H2f1 zenon_H30e zenon_H22a zenon_H22b zenon_H30b zenon_H2eb zenon_H26a zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H304 zenon_H279 zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.50 apply (zenon_L503_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.50 exact (zenon_H15 zenon_H14). % 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.50 apply (zenon_L258_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.50 apply (zenon_L173_); trivial. % 43.34/43.50 apply (zenon_L252_); trivial. % 43.34/43.50 (* end of lemma zenon_L504_ *) % 43.34/43.50 assert (zenon_L505_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.34/43.50 do 0 intro. intros zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H29e zenon_H299 zenon_H1fe zenon_H2c zenon_H80 zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H290 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H276 zenon_H264 zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H30e zenon_H30b zenon_H2eb zenon_H2e6 zenon_H20a zenon_H204 zenon_H2d7 zenon_H2c7 zenon_H304 zenon_H15 zenon_H337 zenon_H274 zenon_H352 zenon_H33d zenon_H214 zenon_H349 zenon_H27d zenon_H24d zenon_H342 zenon_H260 zenon_H253 zenon_H33c zenon_H27c zenon_H33e zenon_H85 zenon_H29d zenon_H345 zenon_H249 zenon_H9c zenon_H256 zenon_H354 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.50 apply (zenon_L499_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.50 apply (zenon_L504_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.50 apply (zenon_L302_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.50 apply (zenon_L197_); trivial. % 43.34/43.50 apply (zenon_L245_); trivial. % 43.34/43.50 (* end of lemma zenon_L505_ *) % 43.34/43.50 assert (zenon_L506_ : ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.34/43.50 do 0 intro. intros zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H274 zenon_H337 zenon_H1fe zenon_H299 zenon_H29e zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.50 apply (zenon_L505_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.50 exact (zenon_H15 zenon_H14). % 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.50 apply (zenon_L251_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.50 apply (zenon_L173_); trivial. % 43.34/43.50 apply (zenon_L252_); trivial. % 43.34/43.50 (* end of lemma zenon_L506_ *) % 43.34/43.50 assert (zenon_L507_ : ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> ((~((op2 (e21) (e20)) = (e21)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op2 (e22) (e20)) = (e22)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (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) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((e21) = (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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) = (e23))) -> (~((e20) = (e22))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.34/43.50 do 0 intro. intros zenon_H25a zenon_H214 zenon_H21a zenon_H33b zenon_H354 zenon_H256 zenon_H9c zenon_H249 zenon_H345 zenon_H29d zenon_H85 zenon_H33e zenon_H27c zenon_H33c zenon_H253 zenon_H260 zenon_H342 zenon_H24d zenon_H27d zenon_H349 zenon_H33d zenon_H352 zenon_H337 zenon_H1fe zenon_H299 zenon_H29e zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H15 zenon_H2f1 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H288 zenon_H304 zenon_H2c7 zenon_H2d7 zenon_H204 zenon_H20a zenon_H2e6 zenon_H2eb zenon_H30b zenon_H30e zenon_H2fe zenon_H93 zenon_H31e zenon_H316 zenon_H311 zenon_H321 zenon_H264 zenon_H276 zenon_H23e zenon_H23a zenon_H234 zenon_H242 zenon_H290 zenon_H2e3 zenon_H2de zenon_H2ee zenon_H2f3 zenon_H32b zenon_H25d zenon_H2f9 zenon_H2f6 zenon_H301 zenon_H324 zenon_H32f zenon_H330 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ]. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.50 apply (zenon_L500_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.50 exact (zenon_H15 zenon_H14). % 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.50 apply (zenon_L243_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.50 apply (zenon_L173_); trivial. % 43.34/43.50 apply (zenon_L252_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.50 apply (zenon_L502_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.50 exact (zenon_H21a zenon_H219). % 43.34/43.50 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.50 apply (zenon_L209_); trivial. % 43.34/43.50 apply (zenon_L506_); trivial. % 43.34/43.50 (* end of lemma zenon_L507_ *) % 43.34/43.50 assert (zenon_L508_ : ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> (~((e21) = (e23))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((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 (e22) (e23)))) -> (~((e22) = (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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)) = (e20))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 43.34/43.50 do 0 intro. intros zenon_H337 zenon_H276 zenon_H22b zenon_H22a zenon_H26a zenon_H279 zenon_H264 zenon_H288 zenon_H1fe zenon_H290 zenon_H253 zenon_H299 zenon_H204 zenon_H24d zenon_H29e zenon_H20a zenon_H27d zenon_H249 zenon_H304 zenon_H10d zenon_H30 zenon_H381 zenon_H2b zenon_H3f9 zenon_H29c zenon_H19e zenon_H19f zenon_H1a4 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1d8 zenon_H37f zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4 zenon_H30e zenon_H25a zenon_H30b zenon_H2f1 zenon_H214 zenon_H2eb zenon_H2c7 zenon_H15 zenon_H2e6 zenon_H219 zenon_H80 zenon_H2c zenon_H33 zenon_H26e. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.50 apply (zenon_L500_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.50 exact (zenon_H15 zenon_H14). % 43.34/43.50 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.50 apply (zenon_L212_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.50 apply (zenon_L173_); trivial. % 43.34/43.50 apply (zenon_L252_); trivial. % 43.34/43.50 (* end of lemma zenon_L508_ *) % 43.34/43.50 assert (zenon_L509_ : ((~((op2 (e21) (e21)) = (e21)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e22) (e21)) = (e22)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> ((~((op2 (e23) (e21)) = (e23)))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21)))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((~((op2 (e21) (e22)) = (e21)))\/(((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22)))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (e20))) -> ((((op2 (e20) (e20)) = (e20))/\(((op2 (e20) (e20)) = (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) (e21)) = (e20))/\(((op2 (e21) (e20)) = (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) (e22)) = (e20))/\(((op2 (e22) (e20)) = (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) (e23)) = (e20))/\(((op2 (e23) (e20)) = (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 (e21) (e20)) = (e21))/\(((op2 (e20) (e21)) = (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 (e21) (e21)) = (e21))/\(((op2 (e21) (e21)) = (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 (e21) (e22)) = (e21))/\(((op2 (e22) (e21)) = (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 (e21) (e23)) = (e21))/\(((op2 (e23) (e21)) = (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 (e22) (e20)) = (e22))/\(((op2 (e20) (e22)) = (e22))/\((~((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 (e22) (e21)) = (e22))/\(((op2 (e21) (e22)) = (e22))/\((~((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 (e22) (e22)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((~((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 (e22) (e23)) = (e22))/\(((op2 (e23) (e22)) = (e22))/\((~((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 (e23) (e20)) = (e23))/\(((op2 (e20) (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 (e23) (e21)) = (e23))/\(((op2 (e21) (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 (e23) (e22)) = (e23))/\(((op2 (e22) (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 (e23) (e23)) = (e23))/\(((op2 (e23) (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 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e12) (e12))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((~((op1 (e11) (e10)) = (e11)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> ((~((op2 (e23) (e20)) = (e23)))\/(((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20)))))) -> ((op2 (e21) (e21)) = (e21)) -> (~((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 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> False). % 43.34/43.50 do 0 intro. intros zenon_H330 zenon_H32f zenon_H324 zenon_H301 zenon_H2f6 zenon_H2f9 zenon_H25d zenon_H32b zenon_H2f3 zenon_H2ee zenon_H2de zenon_H2e3 zenon_H242 zenon_H234 zenon_H23a zenon_H23e zenon_H321 zenon_H311 zenon_H316 zenon_H31e zenon_H93 zenon_H2fe zenon_H2d7 zenon_H2c zenon_H80 zenon_H2e6 zenon_H15 zenon_H2c7 zenon_H2eb zenon_H214 zenon_H30b zenon_H30e zenon_Hc4 zenon_H48 zenon_H60 zenon_H42 zenon_H133 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_He0 zenon_H57 zenon_H18c zenon_H161 zenon_H126 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H169 zenon_H1db zenon_H1d9 zenon_H1f3 zenon_H1f4 zenon_H1e0 zenon_H1e4 zenon_H1ed zenon_H1ec zenon_H1f5 zenon_H1fc zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H37f zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_H29c zenon_H3f9 zenon_H2b zenon_H381 zenon_H30 zenon_H10d zenon_H304 zenon_H249 zenon_H27d zenon_H20a zenon_H29e zenon_H24d zenon_H204 zenon_H299 zenon_H253 zenon_H290 zenon_H1fe zenon_H264 zenon_H276 zenon_H337 zenon_H219 zenon_H288 zenon_H279 zenon_H26a zenon_H22a zenon_H33 zenon_H22b zenon_H26e zenon_H2f1. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.50 apply (zenon_L499_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.50 apply (zenon_L508_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.50 apply (zenon_L270_); trivial. % 43.34/43.50 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.50 apply (zenon_L197_); trivial. % 43.34/43.50 apply (zenon_L245_); trivial. % 43.34/43.50 (* end of lemma zenon_L509_ *) % 43.34/43.50 assert (zenon_L510_ : ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e22) = (h3 (op1 (e13) (e10))))) -> False). % 43.34/43.50 do 0 intro. intros zenon_H381 zenon_H1a2 zenon_H405. % 43.34/43.50 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H406 | zenon_intro zenon_H407 ]. % 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((e22) = (h3 (op1 (e13) (e10))))). % 43.34/43.50 intro zenon_D_pnotp. % 43.34/43.50 apply zenon_H405. % 43.34/43.50 rewrite <- zenon_D_pnotp. % 43.34/43.50 exact zenon_H406. % 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H407]. % 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H408]. % 43.34/43.50 congruence. % 43.34/43.50 cut (((h3 (e12)) = (e22)) = ((h3 (op1 (e13) (e10))) = (e22))). % 43.34/43.50 intro zenon_D_pnotp. % 43.34/43.50 apply zenon_H408. % 43.34/43.50 rewrite <- zenon_D_pnotp. % 43.34/43.50 exact zenon_H381. % 43.34/43.50 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 43.34/43.50 cut (((h3 (e12)) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H409]. % 43.34/43.50 congruence. % 43.34/43.50 elim (classic ((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [ zenon_intro zenon_H406 | zenon_intro zenon_H407 ]. % 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10)))) = ((h3 (e12)) = (h3 (op1 (e13) (e10))))). % 43.34/43.50 intro zenon_D_pnotp. % 43.34/43.50 apply zenon_H409. % 43.34/43.50 rewrite <- zenon_D_pnotp. % 43.34/43.50 exact zenon_H406. % 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H407]. % 43.34/43.50 cut (((h3 (op1 (e13) (e10))) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40a]. % 43.34/43.50 congruence. % 43.34/43.50 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40b]. % 43.34/43.50 congruence. % 43.34/43.50 exact (zenon_H40b zenon_H1a2). % 43.34/43.50 apply zenon_H407. apply refl_equal. % 43.34/43.50 apply zenon_H407. apply refl_equal. % 43.34/43.51 apply zenon_H201. apply refl_equal. % 43.34/43.51 apply zenon_H407. apply refl_equal. % 43.34/43.51 apply zenon_H407. apply refl_equal. % 43.34/43.51 (* end of lemma zenon_L510_ *) % 43.34/43.51 assert (zenon_L511_ : ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((op1 (e13) (e10)) = (e12)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H35f zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H1a2 zenon_H40c. % 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40d | zenon_intro zenon_H40e ]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H40c. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H40d. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40e]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40f]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (h3 (e13)) (h3 (e10))) = (h3 (op1 (e13) (e10))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H40f. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H35f. % 43.34/43.51 cut (((e22) = (h3 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H405]. % 43.34/43.51 cut (((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H410]. % 43.34/43.51 congruence. % 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [ zenon_intro zenon_H40d | zenon_intro zenon_H40e ]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10)))) = ((op2 (e23) (e20)) = (op2 (h3 (e13)) (h3 (e10))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H410. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H40d. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (h3 (e13)) (h3 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H40e]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H411]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((h3 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 43.34/43.51 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f]. % 43.34/43.51 congruence. % 43.34/43.51 apply (zenon_L350_); trivial. % 43.34/43.51 apply (zenon_L9_); trivial. % 43.34/43.51 apply zenon_H40e. apply refl_equal. % 43.34/43.51 apply zenon_H40e. apply refl_equal. % 43.34/43.51 apply (zenon_L510_); trivial. % 43.34/43.51 apply zenon_H40e. apply refl_equal. % 43.34/43.51 apply zenon_H40e. apply refl_equal. % 43.34/43.51 (* end of lemma zenon_L511_ *) % 43.34/43.51 assert (zenon_L512_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e10)) = (e12))) -> ((op2 (e23) (e20)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H412 zenon_H123 zenon_H19f zenon_H126 zenon_H57 zenon_Hb2 zenon_H19e zenon_H48 zenon_H6a zenon_H5f zenon_H6f zenon_H60 zenon_H6e zenon_H11c zenon_H1e0 zenon_He8 zenon_H1e4 zenon_H1b1 zenon_H35f zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H40c. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H412); [ zenon_intro zenon_H17c | zenon_intro zenon_H413 ]. % 43.34/43.51 apply (zenon_L103_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H413); [ zenon_intro zenon_H1df | zenon_intro zenon_H414 ]. % 43.34/43.51 apply (zenon_L142_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_Hed | zenon_intro zenon_H1a2 ]. % 43.34/43.51 exact (zenon_H1b1 zenon_Hed). % 43.34/43.51 apply (zenon_L511_); trivial. % 43.34/43.51 (* end of lemma zenon_L512_ *) % 43.34/43.51 assert (zenon_L513_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> ((h3 (e12)) = (e22)) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((op1 (e12) (e10)) = (e12))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e13) = (op1 (e12) (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op2 (e23) (e20)) = (e23))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H415 zenon_H20a zenon_H22b zenon_H26a zenon_H40c zenon_H381 zenon_H2c zenon_H2b zenon_H33 zenon_H30 zenon_H1b1 zenon_H1e4 zenon_He8 zenon_H1e0 zenon_H11c zenon_H6e zenon_H60 zenon_H6f zenon_H5f zenon_H6a zenon_H48 zenon_H19e zenon_Hb2 zenon_H57 zenon_H126 zenon_H19f zenon_H123 zenon_H412 zenon_Ha3. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H20b | zenon_intro zenon_H416 ]. % 43.34/43.51 apply (zenon_L155_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H416); [ zenon_intro zenon_H26b | zenon_intro zenon_H417 ]. % 43.34/43.51 apply (zenon_L180_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H417); [ zenon_intro zenon_H35f | zenon_intro zenon_Ha6 ]. % 43.34/43.51 apply (zenon_L512_); trivial. % 43.34/43.51 exact (zenon_Ha3 zenon_Ha6). % 43.34/43.51 (* end of lemma zenon_L513_ *) % 43.34/43.51 assert (zenon_L514_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e10)) = (e12))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H1a4 zenon_Ha3 zenon_H412 zenon_H19f zenon_H19e zenon_H6f zenon_H11c zenon_H1e0 zenon_H1e4 zenon_H1b1 zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H40c zenon_H26a zenon_H22b zenon_H20a zenon_H415 zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.34/43.51 apply (zenon_L513_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.34/43.51 exact (zenon_H21 zenon_H20). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.34/43.51 apply (zenon_L100_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L102_); trivial. % 43.34/43.51 (* end of lemma zenon_L514_ *) % 43.34/43.51 assert (zenon_L515_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> (~((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H1fe zenon_H1d8 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1a4 zenon_H19f zenon_H19e zenon_Ha3 zenon_H412 zenon_H30 zenon_H33 zenon_H2b zenon_H2c zenon_H381 zenon_H40c zenon_H26a zenon_H22b zenon_H20a zenon_H415 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H6f | zenon_intro zenon_H193 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ]. % 43.34/43.51 apply (zenon_L514_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.34/43.51 apply (zenon_L104_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.34/43.51 apply (zenon_L131_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.34/43.51 apply (zenon_L60_); trivial. % 43.34/43.51 apply (zenon_L133_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.34/43.51 exact (zenon_H21 zenon_H20). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.34/43.51 apply (zenon_L100_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L102_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.34/43.51 apply (zenon_L104_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.34/43.51 apply (zenon_L132_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.34/43.51 apply (zenon_L60_); trivial. % 43.34/43.51 apply (zenon_L133_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.34/43.51 apply (zenon_L149_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.34/43.51 apply (zenon_L100_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L102_); trivial. % 43.34/43.51 (* end of lemma zenon_L515_ *) % 43.34/43.51 assert (zenon_L516_ : ((h3 (e13)) = (op2 (e22) (e22))) -> ((op1 (e13) (e11)) = (e13)) -> ((e23) = (op2 (e22) (e22))) -> (~((e23) = (h3 (op1 (e13) (e11))))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H30 zenon_H12c zenon_H33 zenon_H418. % 43.34/43.51 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H419 | zenon_intro zenon_H41a ]. % 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((e23) = (h3 (op1 (e13) (e11))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H418. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H419. % 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H41b]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((h3 (e13)) = (op2 (e22) (e22))) = ((h3 (op1 (e13) (e11))) = (e23))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H41b. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H30. % 43.34/43.51 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 43.34/43.51 cut (((h3 (e13)) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41c]. % 43.34/43.51 congruence. % 43.34/43.51 elim (classic ((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [ zenon_intro zenon_H419 | zenon_intro zenon_H41a ]. % 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11)))) = ((h3 (e13)) = (h3 (op1 (e13) (e11))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H41c. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H419. % 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H41a]. % 43.34/43.51 cut (((h3 (op1 (e13) (e11))) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41d]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 43.34/43.51 congruence. % 43.34/43.51 exact (zenon_H131 zenon_H12c). % 43.34/43.51 apply zenon_H41a. apply refl_equal. % 43.34/43.51 apply zenon_H41a. apply refl_equal. % 43.34/43.51 apply zenon_H203. apply sym_equal. exact zenon_H33. % 43.34/43.51 apply zenon_H41a. apply refl_equal. % 43.34/43.51 apply zenon_H41a. apply refl_equal. % 43.34/43.51 (* end of lemma zenon_L516_ *) % 43.34/43.51 assert (zenon_L517_ : ((op2 (e23) (e21)) = (e23)) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> ((op1 (e13) (e11)) = (e13)) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H2b6 zenon_H36f zenon_H22b zenon_H30 zenon_H33 zenon_H12c zenon_H41e. % 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H41f | zenon_intro zenon_H420 ]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H41e. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H41f. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H421]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (h3 (e13)) (h3 (e11))) = (h3 (op1 (e13) (e11))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H421. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H2b6. % 43.34/43.51 cut (((e23) = (h3 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H418]. % 43.34/43.51 cut (((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H422]. % 43.34/43.51 congruence. % 43.34/43.51 elim (classic ((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [ zenon_intro zenon_H41f | zenon_intro zenon_H420 ]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11)))) = ((op2 (e23) (e21)) = (op2 (h3 (e13)) (h3 (e11))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H422. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H41f. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (h3 (e13)) (h3 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H420]. % 43.34/43.51 cut (((op2 (h3 (e13)) (h3 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H423]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((h3 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H36e]. % 43.34/43.51 cut (((h3 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H38f]. % 43.34/43.51 congruence. % 43.34/43.51 apply (zenon_L350_); trivial. % 43.34/43.51 apply (zenon_L327_); trivial. % 43.34/43.51 apply zenon_H420. apply refl_equal. % 43.34/43.51 apply zenon_H420. apply refl_equal. % 43.34/43.51 apply (zenon_L516_); trivial. % 43.34/43.51 apply zenon_H420. apply refl_equal. % 43.34/43.51 apply zenon_H420. apply refl_equal. % 43.34/43.51 (* end of lemma zenon_L517_ *) % 43.34/43.51 assert (zenon_L518_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((e23) = (op2 (e22) (e22))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op1 (e13) (e12)) = (e13))) -> ((op1 (e13) (e13)) = (e11)) -> (~((e11) = (e13))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H424 zenon_H123 zenon_H41e zenon_H33 zenon_H30 zenon_H22b zenon_H36f zenon_H2b6 zenon_H425 zenon_H12b zenon_Hc1. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H424); [ zenon_intro zenon_H125 | zenon_intro zenon_H426 ]. % 43.34/43.51 exact (zenon_H123 zenon_H125). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H426); [ zenon_intro zenon_H12c | zenon_intro zenon_H427 ]. % 43.34/43.51 apply (zenon_L517_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H427); [ zenon_intro zenon_H13d | zenon_intro zenon_H13e ]. % 43.34/43.51 exact (zenon_H425 zenon_H13d). % 43.34/43.51 apply (zenon_L68_); trivial. % 43.34/43.51 (* end of lemma zenon_L518_ *) % 43.34/43.51 assert (zenon_L519_ : ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H33 zenon_H2c4 zenon_H428. % 43.34/43.51 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H272 ]. % 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H428. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H271. % 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H272]. % 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H429]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((e23) = (op2 (e22) (e22))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H429. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H33. % 43.34/43.51 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 43.34/43.51 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H42a]. % 43.34/43.51 congruence. % 43.34/43.51 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H271 | zenon_intro zenon_H272 ]. % 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H42a. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H271. % 43.34/43.51 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H272]. % 43.34/43.51 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H42b]. % 43.34/43.51 congruence. % 43.34/43.51 exact (zenon_H42b zenon_H2c4). % 43.34/43.51 apply zenon_H272. apply refl_equal. % 43.34/43.51 apply zenon_H272. apply refl_equal. % 43.34/43.51 apply zenon_H87. apply refl_equal. % 43.34/43.51 apply zenon_H272. apply refl_equal. % 43.34/43.51 apply zenon_H272. apply refl_equal. % 43.34/43.51 (* end of lemma zenon_L519_ *) % 43.34/43.51 assert (zenon_L520_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e12)) = (e13))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> ((e13) = (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))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e21) = (e23))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H42c zenon_Ha3 zenon_Hc1 zenon_H425 zenon_H36f zenon_H22b zenon_H30 zenon_H41e zenon_H123 zenon_H424 zenon_Hc4 zenon_H57 zenon_H48 zenon_He0 zenon_H126 zenon_H133 zenon_H428 zenon_H33 zenon_H274 zenon_H276. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H42c); [ zenon_intro zenon_Ha6 | zenon_intro zenon_H42d ]. % 43.34/43.51 exact (zenon_Ha3 zenon_Ha6). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H42d); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H42e ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 43.34/43.51 apply (zenon_L64_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_He1 | zenon_intro zenon_H13a ]. % 43.34/43.51 apply (zenon_L47_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H12b ]. % 43.34/43.51 apply (zenon_L40_); trivial. % 43.34/43.51 apply (zenon_L518_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H42e); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H275 ]. % 43.34/43.51 apply (zenon_L519_); trivial. % 43.34/43.51 apply (zenon_L182_); trivial. % 43.34/43.51 (* end of lemma zenon_L520_ *) % 43.34/43.51 assert (zenon_L521_ : ((~((op1 (e13) (e12)) = (e13)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((e21) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (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))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((e10) = (e13))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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))))))))))))))))))))))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (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) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e12) (e12)) = (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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e11) = (e12))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H42f zenon_H276 zenon_H33 zenon_H428 zenon_H424 zenon_H41e zenon_H30 zenon_H22b zenon_H36f zenon_Ha3 zenon_H42c zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H123 zenon_H19f zenon_H19e zenon_H60 zenon_H42 zenon_H192 zenon_H16b zenon_H166 zenon_Hbd zenon_Hca zenon_Hf9 zenon_H6e zenon_H5f zenon_He8 zenon_H6a zenon_Hc1 zenon_H105 zenon_H178 zenon_H16e zenon_H174 zenon_H189 zenon_H182 zenon_H66 zenon_H17f zenon_H18c zenon_H161 zenon_H15c zenon_Hb2 zenon_Hac zenon_H152 zenon_H142 zenon_H17b zenon_H11a zenon_H21 zenon_H47 zenon_H1c3 zenon_H1a8 zenon_H1bf zenon_Hf6 zenon_H1ba zenon_H1b0 zenon_H1aa zenon_H1c8 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1d8 zenon_H11c zenon_H133 zenon_H126 zenon_He0 zenon_H48 zenon_H57 zenon_Hc4 zenon_H169. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H42f); [ zenon_intro zenon_H425 | zenon_intro zenon_H193 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26b | zenon_intro zenon_H27a ]. % 43.34/43.51 apply (zenon_L180_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H22c | zenon_intro zenon_H27b ]. % 43.34/43.51 apply (zenon_L163_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H26f | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L181_); trivial. % 43.34/43.51 apply (zenon_L520_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.34/43.51 apply (zenon_L103_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.34/43.51 apply (zenon_L132_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.34/43.51 exact (zenon_H11c zenon_H119). % 43.34/43.51 apply (zenon_L133_); trivial. % 43.34/43.51 (* end of lemma zenon_L521_ *) % 43.34/43.51 assert (zenon_L522_ : ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (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) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((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 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e22) (e22))) -> (~((e21) = (e23))) -> ((~((op1 (e13) (e12)) = (e13)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H1a4 zenon_H11c zenon_H1d8 zenon_H1c2 zenon_H1d5 zenon_H73 zenon_H1d3 zenon_H1be zenon_H1d2 zenon_H1b6 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H19e zenon_H19f zenon_H279 zenon_H26a zenon_H22a zenon_H26e zenon_H42c zenon_Ha3 zenon_H36f zenon_H22b zenon_H30 zenon_H41e zenon_H424 zenon_H428 zenon_H33 zenon_H276 zenon_H42f zenon_H21 zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1a5 ]. % 43.34/43.51 apply (zenon_L521_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.34/43.51 exact (zenon_H21 zenon_H20). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.34/43.51 apply (zenon_L100_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L102_); trivial. % 43.34/43.51 (* end of lemma zenon_L522_ *) % 43.34/43.51 assert (zenon_L523_ : ((~((op1 (e10) (e10)) = (e10)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> ((~((op1 (e13) (e12)) = (e13)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (~((e21) = (e23))) -> ((e23) = (op2 (e22) (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (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))))) -> ((~((op1 (e12) (e10)) = (e12)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((~((op1 (e13) (e10)) = (e13)))\/(((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10)))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((((op1 (e10) (e10)) = (e10))/\(((op1 (e10) (e10)) = (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) (e11)) = (e10))/\(((op1 (e11) (e10)) = (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) (e12)) = (e10))/\(((op1 (e12) (e10)) = (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) (e13)) = (e10))/\(((op1 (e13) (e10)) = (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 (e11) (e10)) = (e11))/\(((op1 (e10) (e11)) = (e11))/\((~((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 (e11) (e11)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\((~((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 (e11) (e12)) = (e11))/\(((op1 (e12) (e11)) = (e11))/\((~((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 (e11) (e13)) = (e11))/\(((op1 (e13) (e11)) = (e11))/\((~((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 (e12) (e10)) = (e12))/\(((op1 (e10) (e12)) = (e12))/\((~((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 (e12) (e11)) = (e12))/\(((op1 (e11) (e12)) = (e12))/\((~((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 (e12) (e12)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((~((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 (e12) (e13)) = (e12))/\(((op1 (e13) (e12)) = (e12))/\((~((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 (e13) (e10)) = (e13))/\(((op1 (e10) (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 (e13) (e11)) = (e13))/\(((op1 (e11) (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 (e13) (e12)) = (e13))/\(((op1 (e12) (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 (e13) (e13)) = (e13))/\(((op1 (e13) (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) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((~((op1 (e11) (e12)) = (e11)))\/(((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12)))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> ((e13) = (op1 (e12) (e12))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H1fe zenon_H42f zenon_H276 zenon_H33 zenon_H428 zenon_H424 zenon_H41e zenon_H30 zenon_H22b zenon_H36f zenon_Ha3 zenon_H42c zenon_H26e zenon_H22a zenon_H26a zenon_H279 zenon_H1d8 zenon_H19e zenon_H19f zenon_H1a4 zenon_H1c8 zenon_H1aa zenon_H1b0 zenon_H1ba zenon_Hf6 zenon_H1bf zenon_H1a8 zenon_H1c3 zenon_H47 zenon_H1b6 zenon_H1d2 zenon_H1be zenon_H1d3 zenon_H73 zenon_H1d5 zenon_H1c2 zenon_H1fc zenon_H1f5 zenon_H1ec zenon_H1ed zenon_H1e4 zenon_H1e0 zenon_H1f4 zenon_H1f3 zenon_H1d9 zenon_H1db zenon_H169 zenon_H11a zenon_H17b zenon_H142 zenon_H152 zenon_Hac zenon_Hb2 zenon_H15c zenon_H126 zenon_H161 zenon_H18c zenon_H57 zenon_He0 zenon_H17f zenon_H66 zenon_H182 zenon_H189 zenon_H174 zenon_H16e zenon_H178 zenon_H105 zenon_Hc1 zenon_H6a zenon_He8 zenon_H5f zenon_H6e zenon_Hf9 zenon_Hca zenon_Hbd zenon_H166 zenon_H16b zenon_H192 zenon_H133 zenon_H42 zenon_H60 zenon_H48 zenon_Hc4. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H21 | zenon_intro zenon_H1a5 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1a5 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H11c | zenon_intro zenon_H193 ]. % 43.34/43.51 apply (zenon_L522_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17c | zenon_intro zenon_H194 ]. % 43.34/43.51 apply (zenon_L104_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H18f | zenon_intro zenon_H195 ]. % 43.34/43.51 apply (zenon_L131_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H119 | zenon_intro zenon_H185 ]. % 43.34/43.51 apply (zenon_L60_); trivial. % 43.34/43.51 apply (zenon_L133_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.34/43.51 exact (zenon_H21 zenon_H20). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.34/43.51 apply (zenon_L100_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L102_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H1a6 ]. % 43.34/43.51 apply (zenon_L149_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H151 | zenon_intro zenon_H1a7 ]. % 43.34/43.51 apply (zenon_L100_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H196 | zenon_intro zenon_H198 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L102_); trivial. % 43.34/43.51 (* end of lemma zenon_L523_ *) % 43.34/43.51 assert (zenon_L524_ : (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((op1 (e13) (e12)) = (e10)) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H430 zenon_H2b zenon_H431 zenon_H381 zenon_H30. % 43.34/43.51 cut (((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) = ((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H430. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H2b. % 43.34/43.51 cut (((op2 (op2 (e22) (e22)) (e22)) = (op2 (h3 (e13)) (h3 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H432]. % 43.34/43.51 cut (((h3 (e10)) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H433]. % 43.34/43.51 congruence. % 43.34/43.51 elim (classic ((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [ zenon_intro zenon_H434 | zenon_intro zenon_H435 ]. % 43.34/43.51 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12)))) = ((h3 (e10)) = (h3 (op1 (e13) (e12))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H433. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H434. % 43.34/43.51 cut (((h3 (op1 (e13) (e12))) = (h3 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H435]. % 43.34/43.51 cut (((h3 (op1 (e13) (e12))) = (h3 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H436]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H437]. % 43.34/43.51 congruence. % 43.34/43.51 exact (zenon_H437 zenon_H431). % 43.34/43.51 apply zenon_H435. apply refl_equal. % 43.34/43.51 apply zenon_H435. apply refl_equal. % 43.34/43.51 cut (((e22) = (h3 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f8]. % 43.34/43.51 cut (((op2 (e22) (e22)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 43.34/43.51 congruence. % 43.34/43.51 apply zenon_H438. apply sym_equal. exact zenon_H30. % 43.34/43.51 apply zenon_H3f8. apply sym_equal. exact zenon_H381. % 43.34/43.51 (* end of lemma zenon_L524_ *) % 43.34/43.51 assert (zenon_L525_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (op1 (e12) (e12)) (e12))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e12) (e12))) -> (~((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((h3 (e12)) = (e22)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H439 zenon_Hac zenon_H60 zenon_H5f zenon_H42 zenon_H48 zenon_H430 zenon_H2b zenon_H381 zenon_H30. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H439); [ zenon_intro zenon_Had | zenon_intro zenon_H43a ]. % 43.34/43.51 apply (zenon_L33_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H61 | zenon_intro zenon_H43b ]. % 43.34/43.51 apply (zenon_L18_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H196 | zenon_intro zenon_H431 ]. % 43.34/43.51 apply (zenon_L101_); trivial. % 43.34/43.51 apply (zenon_L524_); trivial. % 43.34/43.51 (* end of lemma zenon_L525_ *) % 43.34/43.51 assert (zenon_L526_ : (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((op1 (e13) (e13)) = (e11)) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H43c zenon_H36f zenon_H12b zenon_H30. % 43.34/43.51 cut (((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) = ((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H43c. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H36f. % 43.34/43.51 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (h3 (e13)) (h3 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43d]. % 43.34/43.51 cut (((h3 (e11)) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H43e]. % 43.34/43.51 congruence. % 43.34/43.51 elim (classic ((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [ zenon_intro zenon_H43f | zenon_intro zenon_H440 ]. % 43.34/43.51 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13)))) = ((h3 (e11)) = (h3 (op1 (e13) (e13))))). % 43.34/43.51 intro zenon_D_pnotp. % 43.34/43.51 apply zenon_H43e. % 43.34/43.51 rewrite <- zenon_D_pnotp. % 43.34/43.51 exact zenon_H43f. % 43.34/43.51 cut (((h3 (op1 (e13) (e13))) = (h3 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H440]. % 43.34/43.51 cut (((h3 (op1 (e13) (e13))) = (h3 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H441]. % 43.34/43.51 congruence. % 43.34/43.51 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H442]. % 43.34/43.51 congruence. % 43.34/43.51 exact (zenon_H442 zenon_H12b). % 43.34/43.51 apply zenon_H440. apply refl_equal. % 43.34/43.51 apply zenon_H440. apply refl_equal. % 43.34/43.51 cut (((op2 (e22) (e22)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 43.34/43.51 cut (((op2 (e22) (e22)) = (h3 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438]. % 43.34/43.51 congruence. % 43.34/43.51 apply zenon_H438. apply sym_equal. exact zenon_H30. % 43.34/43.51 apply zenon_H438. apply sym_equal. exact zenon_H30. % 43.34/43.51 (* end of lemma zenon_L526_ *) % 43.34/43.51 assert (zenon_L527_ : (((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 (e12) (e12))) -> ((e11) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H443 zenon_H1ba zenon_H56 zenon_H48 zenon_H57 zenon_Hf9 zenon_H43c zenon_H36f zenon_H30. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H443); [ zenon_intro zenon_H1bb | zenon_intro zenon_H444 ]. % 43.34/43.51 apply (zenon_L113_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H444); [ zenon_intro zenon_H58 | zenon_intro zenon_H445 ]. % 43.34/43.51 apply (zenon_L15_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H445); [ zenon_intro zenon_Hfa | zenon_intro zenon_H12b ]. % 43.34/43.51 apply (zenon_L54_); trivial. % 43.34/43.51 apply (zenon_L526_); trivial. % 43.34/43.51 (* end of lemma zenon_L527_ *) % 43.34/43.51 assert (zenon_L528_ : (~(((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))) -> ((h3 (e10)) = (op2 (op2 (e22) (e22)) (e22))) -> ((e20) = (op2 (op2 (e22) (e22)) (e22))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H446 zenon_H2b zenon_H2c. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H446). zenon_intro zenon_H2a. zenon_intro zenon_H447. % 43.34/43.51 apply (zenon_L9_); trivial. % 43.34/43.51 (* end of lemma zenon_L528_ *) % 43.34/43.51 assert (zenon_L529_ : (~(((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))) -> ((h3 (e11)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> ((e21) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22)))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H448 zenon_H36f zenon_H22b. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H448). zenon_intro zenon_H44a. zenon_intro zenon_H449. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H449). zenon_intro zenon_H36e. zenon_intro zenon_H44b. % 43.34/43.51 apply (zenon_L327_); trivial. % 43.34/43.51 (* end of lemma zenon_L529_ *) % 43.34/43.51 assert (zenon_L530_ : (~(((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))) -> ((h3 (e12)) = (e22)) -> False). % 43.34/43.51 do 0 intro. intros zenon_H44c zenon_H381. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H44c). zenon_intro zenon_H44e. zenon_intro zenon_H44d. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H44d). zenon_intro zenon_H450. zenon_intro zenon_H44f. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H44f). zenon_intro zenon_H38e. zenon_intro zenon_H451. % 43.34/43.51 exact (zenon_H38e zenon_H381). % 43.34/43.51 (* end of lemma zenon_L530_ *) % 43.34/43.51 assert (zenon_L531_ : (~(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23)))))) -> ((h3 (e13)) = (op2 (e22) (e22))) -> ((e23) = (op2 (e22) (e22))) -> False). % 43.34/43.51 do 0 intro. intros zenon_H452 zenon_H30 zenon_H33. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H452). zenon_intro zenon_H454. zenon_intro zenon_H453. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H453). zenon_intro zenon_H456. zenon_intro zenon_H455. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H455). zenon_intro zenon_H457. zenon_intro zenon_H38f. % 43.34/43.51 apply (zenon_L350_); trivial. % 43.34/43.51 (* end of lemma zenon_L531_ *) % 43.34/43.51 apply NNPP. intro zenon_G. % 43.34/43.51 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H459. zenon_intro zenon_H458. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H45b. zenon_intro zenon_H45a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H1c8. zenon_intro zenon_H45c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H1bf. zenon_intro zenon_H45d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H45f. zenon_intro zenon_H45e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H461. zenon_intro zenon_H460. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_H6e. zenon_intro zenon_H462. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H78. zenon_intro zenon_H463. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H1b0. zenon_intro zenon_H464. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_H3ec. zenon_intro zenon_H465. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H467. zenon_intro zenon_H466. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H109. zenon_intro zenon_H468. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_H19e. zenon_intro zenon_H469. % 43.34/43.51 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H10c. zenon_intro zenon_H46a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H10d. zenon_intro zenon_H46b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H46d. zenon_intro zenon_H46c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H18c. zenon_intro zenon_H46e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_H1f5. zenon_intro zenon_H46f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_H412. zenon_intro zenon_H470. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H7b. zenon_intro zenon_H471. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H473. zenon_intro zenon_H472. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_H475. zenon_intro zenon_H474. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H474). zenon_intro zenon_H1f3. zenon_intro zenon_H476. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_H3b6. zenon_intro zenon_H477. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H166. zenon_intro zenon_H478. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H1f4. zenon_intro zenon_H479. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H47b. zenon_intro zenon_H47a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H1c2. zenon_intro zenon_H47c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H178. zenon_intro zenon_H47d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H1c3. zenon_intro zenon_H47e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H439. zenon_intro zenon_H47f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_H16b. zenon_intro zenon_H480. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_Hca. zenon_intro zenon_H481. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H483. zenon_intro zenon_H482. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H1e4. zenon_intro zenon_H484. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H486. zenon_intro zenon_H485. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H488. zenon_intro zenon_H487. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H487). zenon_intro zenon_H48a. zenon_intro zenon_H489. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H48c. zenon_intro zenon_H48b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H133. zenon_intro zenon_H48d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H443. zenon_intro zenon_H48e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_H1ec. zenon_intro zenon_H48f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H189. zenon_intro zenon_H490. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H424. zenon_intro zenon_H39c. % 43.34/43.51 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H492. zenon_intro zenon_H491. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H494. zenon_intro zenon_H493. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H33e. zenon_intro zenon_H495. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H260. zenon_intro zenon_H496. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H498. zenon_intro zenon_H497. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H49a. zenon_intro zenon_H499. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H499). zenon_intro zenon_H242. zenon_intro zenon_H49b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H301. zenon_intro zenon_H49c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H345. zenon_intro zenon_H49d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H3ef. zenon_intro zenon_H49e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H4a0. zenon_intro zenon_H49f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H299. zenon_intro zenon_H4a1. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a1). zenon_intro zenon_H415. zenon_intro zenon_H4a2. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_H36a. zenon_intro zenon_H4a3. % 43.34/43.51 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H29e. zenon_intro zenon_H4a4. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H29c. zenon_intro zenon_H4a5. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H349. zenon_intro zenon_H4a6. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a6). zenon_intro zenon_H30b. zenon_intro zenon_H4a7. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H29d. zenon_intro zenon_H4a8. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H4aa. zenon_intro zenon_H4a9. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_Ha8. zenon_intro zenon_H4ab. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_Ha2. zenon_intro zenon_H4ac. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H4ae. zenon_intro zenon_H4ad. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H35b. zenon_intro zenon_H4af. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H3b9. zenon_intro zenon_H4b0. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H2ee. zenon_intro zenon_H4b1. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4b3. zenon_intro zenon_H4b2. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b2). zenon_intro zenon_H4b5. zenon_intro zenon_H4b4. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b4). zenon_intro zenon_H4b7. zenon_intro zenon_H4b6. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b6). zenon_intro zenon_H321. zenon_intro zenon_H4b8. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_H27d. zenon_intro zenon_H4b9. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4b9). zenon_intro zenon_H4bb. zenon_intro zenon_H4ba. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ba). zenon_intro zenon_H2f3. zenon_intro zenon_H4bc. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4bc). zenon_intro zenon_H2e3. zenon_intro zenon_H4bd. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4bd). zenon_intro zenon_H4bf. zenon_intro zenon_H4be. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4be). zenon_intro zenon_H342. zenon_intro zenon_H4c0. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4c4. zenon_intro zenon_H4c3. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H4c6. zenon_intro zenon_H4c5. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c5). zenon_intro zenon_H4c8. zenon_intro zenon_H4c7. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c7). zenon_intro zenon_H279. zenon_intro zenon_H4c9. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4c9). zenon_intro zenon_H4cb. zenon_intro zenon_H4ca. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ca). zenon_intro zenon_H363. zenon_intro zenon_H4cc. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4cc). zenon_intro zenon_H31e. zenon_intro zenon_H4cd. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4cd). zenon_intro zenon_H42c. zenon_intro zenon_H27c. % 43.34/43.51 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H4cf. zenon_intro zenon_H4ce. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ce). zenon_intro zenon_H17f. zenon_intro zenon_H4d0. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d0). zenon_intro zenon_H19f. zenon_intro zenon_H4d1. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d1). zenon_intro zenon_H1a8. zenon_intro zenon_H4d2. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d2). zenon_intro zenon_H1d5. zenon_intro zenon_H4d3. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d3). zenon_intro zenon_H4d5. zenon_intro zenon_H4d4. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d4). zenon_intro zenon_H152. zenon_intro zenon_H4d6. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d6). zenon_intro zenon_H1b6. zenon_intro zenon_H4d7. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d7). zenon_intro zenon_H1ed. zenon_intro zenon_H4d8. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_H1d3. zenon_intro zenon_H4d9. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4db. zenon_intro zenon_H4da. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dd. zenon_intro zenon_H4dc. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4dc). zenon_intro zenon_He8. zenon_intro zenon_H4de. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4de). zenon_intro zenon_H47. zenon_intro zenon_H4df. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4df). zenon_intro zenon_Hac. zenon_intro zenon_H4e0. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e0). zenon_intro zenon_H6a. zenon_intro zenon_H4e1. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e1). zenon_intro zenon_H5f. zenon_intro zenon_H4e2. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e2). zenon_intro zenon_H4e4. zenon_intro zenon_H4e3. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e3). zenon_intro zenon_H73. zenon_intro zenon_H4e5. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e5). zenon_intro zenon_Hf6. zenon_intro zenon_H4e6. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e6). zenon_intro zenon_H1ba. zenon_intro zenon_H4e7. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e9. zenon_intro zenon_H4e8. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4e8). zenon_intro zenon_H56. zenon_intro zenon_H4ea. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ea). zenon_intro zenon_Hf9. zenon_intro zenon_H4eb. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4eb). zenon_intro zenon_H1d9. zenon_intro zenon_H4ec. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ec). zenon_intro zenon_H4ee. zenon_intro zenon_H4ed. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ed). zenon_intro zenon_H182. zenon_intro zenon_H4ef. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ef). zenon_intro zenon_Hbd. zenon_intro zenon_H4f0. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H16e. zenon_intro zenon_H4f1. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H1be. zenon_intro zenon_H4f2. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f4. zenon_intro zenon_H4f3. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f3). zenon_intro zenon_H1e0. zenon_intro zenon_H4f5. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f5). zenon_intro zenon_H4f. zenon_intro zenon_H4f6. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f6). zenon_intro zenon_H4f8. zenon_intro zenon_H4f7. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f7). zenon_intro zenon_H1d2. zenon_intro zenon_H4f9. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H66. zenon_intro zenon_H4fa. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H161. zenon_intro zenon_H4fb. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fb). zenon_intro zenon_H1aa. zenon_intro zenon_H4fc. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fc). zenon_intro zenon_H4fe. zenon_intro zenon_H4fd. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4fd). zenon_intro zenon_H174. zenon_intro zenon_H4ff. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H4ff). zenon_intro zenon_H501. zenon_intro zenon_H500. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H500). zenon_intro zenon_H105. zenon_intro zenon_H502. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H502). zenon_intro zenon_H504. zenon_intro zenon_H503. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H503). zenon_intro zenon_Hb2. zenon_intro zenon_H505. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H505). zenon_intro zenon_H126. zenon_intro zenon_H506. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H506). zenon_intro zenon_H1db. zenon_intro zenon_H507. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H507). zenon_intro zenon_He0. zenon_intro zenon_Hc4. % 43.34/43.51 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H509. zenon_intro zenon_H508. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H508). zenon_intro zenon_H30e. zenon_intro zenon_H50a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H50a). zenon_intro zenon_H50c. zenon_intro zenon_H50b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H50b). zenon_intro zenon_H249. zenon_intro zenon_H50d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H50d). zenon_intro zenon_H50f. zenon_intro zenon_H50e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H50e). zenon_intro zenon_H511. zenon_intro zenon_H510. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H510). zenon_intro zenon_H2d7. zenon_intro zenon_H512. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H512). zenon_intro zenon_H24d. zenon_intro zenon_H513. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H513). zenon_intro zenon_H364. zenon_intro zenon_H514. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H514). zenon_intro zenon_H352. zenon_intro zenon_H515. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H515). zenon_intro zenon_H369. zenon_intro zenon_H516. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H516). zenon_intro zenon_H518. zenon_intro zenon_H517. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H517). zenon_intro zenon_H23a. zenon_intro zenon_H519. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H519). zenon_intro zenon_H85. zenon_intro zenon_H51a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H51a). zenon_intro zenon_H204. zenon_intro zenon_H51b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H51b). zenon_intro zenon_H23e. zenon_intro zenon_H51c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H51c). zenon_intro zenon_H234. zenon_intro zenon_H51d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H51d). zenon_intro zenon_H428. zenon_intro zenon_H51e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H51e). zenon_intro zenon_H25d. zenon_intro zenon_H51f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H51f). zenon_intro zenon_H253. zenon_intro zenon_H520. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H520). zenon_intro zenon_H256. zenon_intro zenon_H521. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H2f9. zenon_intro zenon_H524. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H524). zenon_intro zenon_H290. zenon_intro zenon_H525. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H525). zenon_intro zenon_H355. zenon_intro zenon_H526. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H526). zenon_intro zenon_H528. zenon_intro zenon_H527. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H527). zenon_intro zenon_H93. zenon_intro zenon_H529. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H529). zenon_intro zenon_H2de. zenon_intro zenon_H52a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H52a). zenon_intro zenon_H311. zenon_intro zenon_H52b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H52b). zenon_intro zenon_H33d. zenon_intro zenon_H52c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H52c). zenon_intro zenon_H52e. zenon_intro zenon_H52d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H52d). zenon_intro zenon_H530. zenon_intro zenon_H52f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H52f). zenon_intro zenon_H33c. zenon_intro zenon_H531. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H531). zenon_intro zenon_H533. zenon_intro zenon_H532. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H532). zenon_intro zenon_H2f6. zenon_intro zenon_H534. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H534). zenon_intro zenon_H2fe. zenon_intro zenon_H535. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H535). zenon_intro zenon_H2eb. zenon_intro zenon_H536. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H536). zenon_intro zenon_H9c. zenon_intro zenon_H537. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H537). zenon_intro zenon_H539. zenon_intro zenon_H538. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H538). zenon_intro zenon_H316. zenon_intro zenon_H53a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H53a). zenon_intro zenon_H53c. zenon_intro zenon_H53b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H53b). zenon_intro zenon_H264. zenon_intro zenon_H53d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H53d). zenon_intro zenon_H53f. zenon_intro zenon_H53e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H53e). zenon_intro zenon_H20a. zenon_intro zenon_H540. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H540). zenon_intro zenon_H26a. zenon_intro zenon_H541. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H541). zenon_intro zenon_H357. zenon_intro zenon_H542. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H542). zenon_intro zenon_H22a. zenon_intro zenon_H26e. % 43.34/43.51 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H15c. zenon_intro zenon_H543. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H543). zenon_intro zenon_H17b. zenon_intro zenon_H544. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H544). zenon_intro zenon_H42. zenon_intro zenon_H545. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H545). zenon_intro zenon_H169. zenon_intro zenon_H546. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H546). zenon_intro zenon_Hc1. zenon_intro zenon_H11a. % 43.34/43.51 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H2e6. zenon_intro zenon_H547. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H547). zenon_intro zenon_H304. zenon_intro zenon_H548. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H548). zenon_intro zenon_H80. zenon_intro zenon_H549. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H549). zenon_intro zenon_H2f1. zenon_intro zenon_H54a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H54a). zenon_intro zenon_H276. zenon_intro zenon_H288. % 43.34/43.51 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H1fe. zenon_intro zenon_H54b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H54b). zenon_intro zenon_H54d. zenon_intro zenon_H54c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H54c). zenon_intro zenon_H1ff. zenon_intro zenon_H54e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H54e). zenon_intro zenon_H550. zenon_intro zenon_H54f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H54f). zenon_intro zenon_H37f. zenon_intro zenon_H551. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H551). zenon_intro zenon_H553. zenon_intro zenon_H552. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H552). zenon_intro zenon_H192. zenon_intro zenon_H554. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H554). zenon_intro zenon_H556. zenon_intro zenon_H555. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H555). zenon_intro zenon_H1d8. zenon_intro zenon_H557. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H557). zenon_intro zenon_H559. zenon_intro zenon_H558. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H558). zenon_intro zenon_H1fc. zenon_intro zenon_H55a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H55a). zenon_intro zenon_H55c. zenon_intro zenon_H55b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H55b). zenon_intro zenon_H1a4. zenon_intro zenon_H55d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H55d). zenon_intro zenon_H55f. zenon_intro zenon_H55e. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H55e). zenon_intro zenon_H42f. zenon_intro zenon_H560. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H561. zenon_intro zenon_H142. % 43.34/43.51 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H563. zenon_intro zenon_H562. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H562). zenon_intro zenon_H565. zenon_intro zenon_H564. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H564). zenon_intro zenon_H567. zenon_intro zenon_H566. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H566). zenon_intro zenon_H569. zenon_intro zenon_H568. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H568). zenon_intro zenon_H33b. zenon_intro zenon_H56a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H56a). zenon_intro zenon_H330. zenon_intro zenon_H56b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H56b). zenon_intro zenon_H32b. zenon_intro zenon_H56c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H56c). zenon_intro zenon_H56e. zenon_intro zenon_H56d. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H56d). zenon_intro zenon_H354. zenon_intro zenon_H56f. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H56f). zenon_intro zenon_H32f. zenon_intro zenon_H570. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H570). zenon_intro zenon_H36d. zenon_intro zenon_H571. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H571). zenon_intro zenon_H573. zenon_intro zenon_H572. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H572). zenon_intro zenon_H337. zenon_intro zenon_H574. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H574). zenon_intro zenon_H324. zenon_intro zenon_H575. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H575). zenon_intro zenon_H577. zenon_intro zenon_H576. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H576). zenon_intro zenon_H578. zenon_intro zenon_H2c7. % 43.34/43.51 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H60. zenon_intro zenon_H579. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H579). zenon_intro zenon_H57. zenon_intro zenon_H48. % 43.34/43.51 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H2c. zenon_intro zenon_H57a. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H57a). zenon_intro zenon_H22b. zenon_intro zenon_H33. % 43.34/43.51 apply (zenon_and_s _ _ ax16). zenon_intro zenon_H381. zenon_intro zenon_H57b. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H57b). zenon_intro zenon_H2b. zenon_intro zenon_H57c. % 43.34/43.51 apply (zenon_and_s _ _ zenon_H57c). zenon_intro zenon_H36f. zenon_intro zenon_H30. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H57e. zenon_intro zenon_H57d. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H57d). zenon_intro zenon_H580. zenon_intro zenon_H57f. % 43.34/43.51 apply (zenon_notor_s _ _ zenon_H57f). zenon_intro zenon_H582. zenon_intro zenon_H581. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H582); [ zenon_intro zenon_H2f | zenon_intro zenon_H583 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H207 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_L205_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L261_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L297_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L305_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L307_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L308_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L309_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H583); [ zenon_intro zenon_H372 | zenon_intro zenon_H584 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H207 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_L341_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L261_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L343_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L344_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L346_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L308_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L309_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H584); [ zenon_intro zenon_H380 | zenon_intro zenon_H585 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L349_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L294_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L304_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H585); [ zenon_intro zenon_H391 | zenon_intro zenon_H586 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H567); [ zenon_intro zenon_H207 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L368_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L261_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L369_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L376_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L377_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_L261_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L230_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L375_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L259_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L258_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L309_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H586); [ zenon_intro zenon_H39f | zenon_intro zenon_H587 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_L388_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L389_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L304_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H587); [ zenon_intro zenon_H3ab | zenon_intro zenon_H588 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L393_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L261_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L395_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L397_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L398_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H588); [ zenon_intro zenon_H3bc | zenon_intro zenon_H589 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H346 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32f); [ zenon_intro zenon_H310 | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H36d); [ zenon_intro zenon_H2ad | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L405_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L408_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L290_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L409_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 exact (zenon_H21a zenon_H219). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L410_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L225_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L411_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L412_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L416_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L417_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H589); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H58a ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L429_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L431_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L432_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L435_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L436_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58a); [ zenon_intro zenon_H3d4 | zenon_intro zenon_H58b ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L451_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L453_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L455_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L458_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L462_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58b); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H58c ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L474_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L476_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L478_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L481_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L485_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58c); [ zenon_intro zenon_H3f2 | zenon_intro zenon_H58d ]. % 43.34/43.51 apply (zenon_L486_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58d); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H58e ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H214 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H21a | zenon_intro zenon_H325 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32b); [ zenon_intro zenon_H226 | zenon_intro zenon_H32c ]. % 43.34/43.51 apply (zenon_L499_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H25a | zenon_intro zenon_H32d ]. % 43.34/43.51 apply (zenon_L507_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32d); [ zenon_intro zenon_H328 | zenon_intro zenon_H32e ]. % 43.34/43.51 apply (zenon_L291_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_H2ab | zenon_intro zenon_H31a ]. % 43.34/43.51 apply (zenon_L197_); trivial. % 43.34/43.51 apply (zenon_L245_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H309 | zenon_intro zenon_H326 ]. % 43.34/43.51 apply (zenon_L501_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H326); [ zenon_intro zenon_H219 | zenon_intro zenon_H327 ]. % 43.34/43.51 apply (zenon_L509_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H327); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H274 ]. % 43.34/43.51 apply (zenon_L209_); trivial. % 43.34/43.51 apply (zenon_L505_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58e); [ zenon_intro zenon_H40c | zenon_intro zenon_H58f ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_L515_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H58f); [ zenon_intro zenon_H41e | zenon_intro zenon_H590 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H15 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H337); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H338 ]. % 43.34/43.51 apply (zenon_L523_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 exact (zenon_H15 zenon_H14). % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H14 | zenon_intro zenon_H339 ]. % 43.34/43.51 apply (zenon_L326_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H33a ]. % 43.34/43.51 apply (zenon_L251_); trivial. % 43.34/43.51 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H251 | zenon_intro zenon_H331 ]. % 43.34/43.51 apply (zenon_L173_); trivial. % 43.34/43.51 apply (zenon_L252_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H590); [ zenon_intro zenon_H430 | zenon_intro zenon_H591 ]. % 43.34/43.51 apply (zenon_L525_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H591); [ zenon_intro zenon_H43c | zenon_intro zenon_H592 ]. % 43.34/43.51 apply (zenon_L527_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H592); [ zenon_intro zenon_H446 | zenon_intro zenon_H593 ]. % 43.34/43.51 apply (zenon_L528_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H593); [ zenon_intro zenon_H448 | zenon_intro zenon_H594 ]. % 43.34/43.51 apply (zenon_L529_); trivial. % 43.34/43.51 apply (zenon_notand_s _ _ zenon_H594); [ zenon_intro zenon_H44c | zenon_intro zenon_H452 ]. % 43.34/43.51 apply (zenon_L530_); trivial. % 43.34/43.51 apply (zenon_L531_); trivial. % 43.34/43.51 Qed. % 43.34/43.51 % SZS output end Proof % 43.34/43.51 (* END-PROOF *) % 43.34/43.51 nodes searched: 1502768 % 43.34/43.51 max branch formulas: 1958 % 43.34/43.51 proof nodes created: 17041 % 43.34/43.51 formulas created: 856153 % 43.34/43.51 %------------------------------------------------------------------------------